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Soft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly dened objects. In this paper we introduced soft neutrosophic loop,soft neutosophic biloop, soft neutrosophic N-loop with the discuission of some of their characteristics. We also introduced a new type of soft neutrophic loop, the so called soft strong neutrosophic loop which is of pure neutrosophic character. This notion also foound in all the other corresponding notions of soft neutrosophic thoery. We...
Topics: Neutrosophic loop, neutrosophic biloop, neutrosophic N-loop, soft set, soft neutrosophic loop, soft...
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Nov 2, 2015
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A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. This monograph concentrates on characterizing various multi-spaces including three parts altogether.
Topics: multi-space, relativity theory, M-theory
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Nov 2, 2015
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Multi-space models for p-branes and cosmos are constructed and some questions in cosmology are clarified by multi-spaces. The first two parts are relative independence for reading and in each part open problems are included for further research of interested readers.
Topics: Smarandache geometries, map geometries, planar map geometries
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Nov 2, 2015
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This monograph concentrates on characterizing various multi-spaces including three parts altogether. The first part is on algebraic multi-spaces with structures, such as those of multi-groups, multirings, multi-vector spaces, multi-metric spaces, multi-operation systems and multi-manifolds, also multi-voltage graphs, multi-embedding of a graph in an n-manifold,· · ·, etc..
Topics: graph, multi-voltage graph, Cayley graph of a multi-group
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Nov 2, 2015
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A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics.
Topics: algebraic structure, multi-space, multi-group
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Nov 2, 2015
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A paradoxist Smarandache geometry combines Euclidean, hyperbolic, and elliptic geometry into one space along with other non-Euclidean behaviors of lines that would seem to require a discrete space. A class of continuous spaces is presented here together with specific examples that exhibit almost all of these phenomena and suggest the prospect of a continuous paradoxist geometry.
Topics: non-Euclidean behaviors, Smarandache geometry
We establish a new bridge between propositional logic and elementary number theory. A full clause in a conjunctive normal form (CNF) contains all variables, and we study them in minimally unsatisfiable clause-sets (MU); such clauses are strong structural anchors, when combined with other restrictions.
Topics: minimal unsatisfiability, hitting clause-sets
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In this paper, by considering dual geodesic trihedron (dual Darboux frame) we define dual Smarandache curves.
Topics: dual Smarandache curves, dual unit sphere
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Some classical results are generalized to finitely combinatorial manifolds. Euler-Poincare characteristic is discussed and geometrical inclusions in Smarandache geometries for various geometries are also presented by the geometrical theory on finitely combinatorial manifolds in this paper.
Topics: manifold, finitely combinatorial manifold, topological structure
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Nov 2, 2015
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A Smarandache multi-space is a union of n spaces A 1 ,A 2 , · · · , An with some additional conditions holding. Combining Smarandache multispaces with rings in classical ring theory, the conception of multi-ring spaces is introduced. Some characteristics of a multi-ring space are obtained in this paper.
Topics: ring, multi-space, multi-ring space
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Nov 2, 2015
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A Smarandache multi-space is a union of n spaces A 1 ,A 2 , · · · , An with some additional conditions holding. Combining Smarandache multispaces with linear vector spaces in classical linear algebra, the conception of multi-vector spaces is introduced. Some characteristics of a multi-vector space are obtained in this paper.
Topics: vector, multi-space, multi-vector space
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Nov 2, 2015
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The notion of the holomorph of a generalized Bol loop (GBL) is characterized afresh. The holomorph of a right inverse property loop (RIPL) is shown to be a GBL if and only if the loop is a GBL and some bijections of the loop are right (middle) regular.
Topics: generalized Bol loop, holomorph of a loop
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In this work, new type ruled surfaces in terms of B- Smarandache TM1 curves of biharmonic B- slant helices in the SOL 3 are studied. We characterize the B- Smarandache TM1 curves in terms of their Bishop curvatures. Additionally, we express some interesting relations.
Topics: bienergy, B-slant helix, sol space, curvature, ruled surface
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In this paper, generalized exponential-type estimator has been proposed for estimating the population variance using mean auxiliary variable in single phase sampling. Some special cases of the proposed generalized estimator have also been discussed. The expressions for the mean square error and bias of the proposed generalized estimator have been derived. The proposed generalized estimator has been compared theoretically with the usual unbiased estimator, usual ratio and product,...
Topics: Auxiliary variable, Single-phase sampling, Mean square error
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Nov 2, 2015 Dmitri Rabounski
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We celebrate Prof. Florentin Smarandache, the Associate Editor and co-founder of Progress in Physics who is a prominent mathematician of the 20th/21th centuries. Prof. Smarandache is most known as the founder of neutrosophic logic, which is a modern extension of fuzzy logics by introducing the neutralities and denials (such as “neutral A” and “non-A” between “A” and “anti-A”). He is also known due to his many discoveries in the filed of pure mathematics such as number theory,...
Topics: creative research activity, neutrosophic logic
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Conducting effective eLearning in the age of Social Networks is a big challenge. Education is currently conducted in highly controlled way. E-learning has emerged as an answer to provide freedom for learners in the way that face-to-face learning cannot deliver. Despite many advantages of e-learning, it does not provide the best learning experience due to many shortages, limitations, and challenges. The best learning experience might be available by combining inclass and online learning.
Topics: E-Learning, Data-Mining, Facebook
The study examines the touristic potential of South-West Oltenia region. It proves that on territorial profile, the South-West Oltenia region might substitute for the problems of development of the National economy, through a good touristic capitalization. Natural touristic resources, being inexhaustible and uniformly distributed in the territory, become the defining elements of the analyzed geographical space. Their role can be maintained in superior parameters, having a polarizing effect of...
Topics: tourism, sustainable development, South-West Oltenia region
Main objective of this paper is to introduce the concept of similarity measures between two neutrosophic soft sets based on set theoretic approach and based on distance between two neutrosophic soft sets and to study some basic properties. A decision making method is established based on similarity measure between two neutrosophic sets. A decision making method is developed based on similarity measure between two neutrosophic soft sets and lastly an example is given to illustrate the proposed...
Topics: Soft set, neutrosophic set, neutrosophic soft set, Hamming distance
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Nov 2, 2015
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Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. In this paper we define rough neutrosophic sets and study their properties. Some propositions in this notion are proved. Possible application to computer sciences is touched upon.
Topics: Rough set, Neutrosophic set, Rough neutrosophic set
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A semantic net can be used to represent a sentence. A sentence in a language contains semantics which are polar in nature, that is, semantics which are positive, neutral and negative. Neutrosophy is a relatively new field of science which can be used to mathematically represent triads of concepts.
Topics: semantic net, polarity, neutrosophy, polar fuzzy neutrosophic semantic net
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Handling uncertainty is an important component of most intelligent behaviour – so uncertainty resolution is a key step in the design of an artificially intelligent decision system (Clark, 1990).
Topics: uncertainty, computational uncertainty
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In this paper, we define concept of possibility neutrosophic soft set and investigate their related properties. We then construct a decision making method called possibility neutrosophic soft decision making method (PNSdecision making method) which can be applied to the decision making problems involving uncertainty. We finally give a numerical example to show the method can be successfully applied to the problems.
Topics: Soft set, neutrosophic set, neutrosophic soft set
In this paper, concept of possibility neutrosophic soft set and its operations are defined, and their properties are studied. An application of this theory in decision making is investigated. Also a similarity measure of two possibility neutrosophic soft sets is introduced and discussed. Finally an application of this similarity measure in personal selection for a firm.
Topics: Soft set, neutrosophic soft set, possibility neutrosophic soft set
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Neutrosophic logic is a relatively new logic that is a generalization of fuzzy logic. In this paper, for the first time, neutrosophic logic is applied to the field of classifiers where a support vector machine (SVM) is adopted as the example to validate its feasibility and effectiveness. The proposed neutrosophic set is integrated into a reformulated SVM, and the performance of the obtained classifier N-SVM is evaluated under a region-based image categorization system.
Topics: Neutrosophic set, image segmentation, image categorization
A single-valued neutrosophic set (SVNS) and an interval neutrosophic set (INS) are two instances of a neutrosophic set, which can efficiently deal with uncertain, imprecise, incomplete, and inconsistent information. In this paper, we develop a novel method for solving single-valued neutrosophic multi-criteria decision making with incomplete weight information, in which the criterion values are given in the form of single-valued neutrosophic sets (SVNSs), and the information about criterion...
Topics: Neutrosophic set, Single-valued neutrosophic set (SVNS), Interval neutrosophic set (INS)
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This paper presents a novel initialization scheme to determine the cluster number and obtain the initial cluster centers for Fuzzy C-Means (FCM) algorithm to segment any kind of color images, captured using different consumer electronic products or machine vision systems. The proposed initialization scheme, called Hierarchical Approach (HA), integrates the splitting and merging techniques to obtain the initialization condition for FCM algorithm.
Topics: Hierarchical Approach (HA), Initialization scheme, Splitting and merging
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The study highlights some communication instances of actual approach of human society evolution in contrast with traditional communication. During the history of communication dates back to prehistory, with significant changes in communication technologies (media and appropriate inscription tools) evolving in tandem with shifts in political and economic systems, and by extension, systems of power (Innis, 1951), communication can range from very subtle processes of exchange, to full...
Topics: traditional communication, viral communication, neutrosophy
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We firstly present definitions and properties in study of Maji  on neutrosophic soft sets. We then give a few notes on his study. Next, based on Cagman, we redefine the notion of neutrosophic soft set and neutrosophic soft set operations to make more functional. By using these new definitions we construct a decision making method and a group decision making method which selects a set of optimum elements from the alternatives. We finally present examples which shows that the methods can be...
Topics: Neutrosophic set, Soft set, Neutrosophic soft set
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Maji, firstly proposed neutrosophic soft sets can handle the indeterminate information and inconsistent information which exists commonly in belief systems. In this paper, we have firstly redefined complement, union and compared our definitions of neutrosophic soft with the definitions given by Maji. Then, we have introduced the concept of neutrosophic soft matrix and their operators which are more functional to make theoretical studies in the neutrosophic soft set theory.
Topics: Soft sets, Soft matrix, neutrosophic sets
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Nov 2, 2015 Debabrata Mandal
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The purpose of this paper is to study semirings and its ideals by neutrosophic soft sets. After noting some preliminary ideas for subsequent use in Section 1 and 2, I have introduced and studied neutrosophic soft semiring, neutrosophic soft ideals, idealistic neutrosophic soft semiring, regular (intra-regular) neutrosophic soft semiring along with some of their characterizations in Section 3 and 4. In Section 5, I have illustrated all the necessary definitions and results by examples
Topics: Ideal, neutrosophic, regular, semiring, soft
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Nov 2, 2015
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In this paper we introduce and study new types of neutrosophic concepts "a-cut levels , normal neutrosophic set, convex neutrosophic set". Added to we investigate a neutrosophic relations, and neutrosophic database (NDB). Finaly we study some neutrosophic queries on a neutrosophic database.
Topics: Neutrosophic Set, Neutrosophic Relations, Neutrosophic Database
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Semiotic components in the relations of complex systems depend on the Subject. There are two main semiotic components: Neutrosophic and Modal. Modal components are alethical and deontical. In this paper the authors applied the theory of Neutrosophy and Modal Logic to Deontical Impure Systems.
Topics: alethical component, alysidal set, deontical components
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Nov 2, 2015 A. A. Salama
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Mathematics and Computer Science Department of the Faculty of Science, University of Port Said, Egypt.
Topics: Mathematics, Computer Science
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Nov 2, 2015
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Uncertainties, which could be caused by information incompleteness, data randomness limitations of measuring instruments, etc., are pervasive in many complicated problems in biology, engineering, economics, environment, medical science and social science. We cannot successfully use the classical methods for these problems. To solve this problem, the concept of fuzzy sets was introduced by Zadeh in 1965 where each element have a degree of membership and has been extensively applied to many...
Topics: Cartesian prod- uct, Homomorphism, Ideal, In- tersection, Neutrosophic.
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Fuzzy classification has become of great interest because of its ability to utilize simple linguistically interpretable rules and has overcome the limitations of symbolic or crisp rule based classifiers. This paper introduces an extension to fuzzy classifier: a neutrosophic classifier, which would utilize neutrosophic logic for its working.
Topics: Neutrosophic logic, Neutrosophic classifier
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In this paper we introduce a new type of classical set called the neutrosophic classical set. After given the fundamental definitions of neutrosophic classical set operations, we obtain several properties, and discussed the relationship between neutrosophic classical sets and others. Finally, we generalize the classical probability to the notion of neutrosophic probability. This kind of probability is necessary because it provides a better representation than classical probability to uncertain...
Topics: Neutrosophic Probability, Neutrosophic Set, Probability Theory
On the basis of the combination of single-valued neutrosophic sets and hesitant fuzzy sets, this article proposes a single-valued neutrosophic hesitant fuzzy set (SVNHFS) as a further generalization of the concepts of fuzzy set, intuitionistic fuzzy set, single-valued neutrosophic set, hesitant fuzzy set, and dual hesitant fuzzy set.
Topics: Single-valued neutrosophic hesitant fuzzy set, single-valued neutrosophic hesitant fuzzy weighted...
The process of multiple criteria decision making (MCDM) is of determining the best choice among all of the probable alternatives. The problem of supplier selection on which decision maker has usually vague and imprecise knowledge is a typical example of multi criteria group decision-making problem. The conventional crisp techniques has not much effective for solving MCDM problems because of imprecise or fuzziness nature of the linguistic assessments.
Topics: multiple criteria decision making, conventional crisp techniques
The paper presents the correlation and correlation coefficient of single-valued neutrosophic sets (SVNSs) based on the extension of the correlation of intuitionistic fuzzy sets and demonstrates that the cosine similarity measure is a special case of the correlation coefficient in SVNS. Then a decision-making method is proposed by the use of the weighted correlation coefficient or the weighted cosine similarity measure of SVNSs, in which the evaluation information for alternatives with respect...
Topics: neutrosophic set, single-valued neutrosophic set, correlation
Monomials function has always been considered as a significant and most extensively used function in real living. Resource allocation, structure optimization and technology management can often apply these functions. In optimization problems the objective functions can be considered by monomials. In this paper, we present monomials geometric programming with fuzzy relation inequalities constraint with max-product composition.
Topics: Monomial geometric programming, Fuzzy relation equalities and inequalities
Automation has been a hot issue in constructions extraction, but there has not yet been a universally accepted algorithm. Commonly, constructions are extracted by user-defined thresholds, and they have to be adjusted with the variation of images and types of constructions. To overcome the shortages, an unsupervised algorithm to extract constructions is proposed in this paper. It adopts mean shift clustering in neutrosophic set domain to segment images, which makes it possible to detect...
Topics: Neutrosophic set, Mean shift, Constructions extraction
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In this paper, we will analyze the concept of lean manufacturing, starting from the example illustrated by TPS (Toyota Production System) which is renowned for its focus on the reduction of the original Toyota seven waists in order to improve overall customer value, in spite of the existence of varying perspectives on how this is best achieved.
Topics: lean manufacturing, waste, improvement, management
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In this paper, we define intuitionistic neutrosophic set (INSs). In fact, all INSs are neutrosophic set but all neutrosophic sets are not INSs. We have shown by means of example that the definition for neutrosophic sets the complement and union are not true for INSs also give new definition of complement, union and intersection of INSs. We define the relation of INSs and four special type of INSs relations. Finally, we have studied some properties of INSs relations.
Topics: Neutrosophic sets, intuitionistic fuzzy sets, intuitionistic neutrosophic sets
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Nov 2, 2015
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In this paper, we define intuitionistic neutrosophic set (INSs) and truth-value based INSs. In fact, all INSs are neutrosophic set but all neutrosophic sets are not INSs. We define some new operations on INSs with examples for the implementation of the operations in real life problems. Also, we studied some properties of INSs.
Topics: Neutrosophic sets, truth-value based neutrosophic sets
This paper presents quality Clay-Brick selection process based on intuitionistic fuzzy multi criteria group decision making through grey relational analysis. Brick plays an important role in construction field. Intuitionistic fuzzy weighted averaging operator is used to aggregate individual opinions of decision makers into a group opinion. Six criteria are considered for selection process and the criteria are obtained from expert opinions. The criteria are namely solidity, color, size and...
Topics: Bricks, Bricks field, Fuzzy set
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Nov 2, 2015
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The objective of this paper is to introduce the concept of neutrosophic hypergroup and present some of its elementary properties.
Topics: neutrosophic group, neutrosophic sub-group, hypergroup
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Some properties of ivn−soft sets which are connected to operations have been established. Also, the aim of this paper is to investigate the decision making based on ivn−soft sets by level soft sets. Therefore, we develop a decision making methods and then give a example to illustrate the developed approach.
Topics: Interval sets, soft sets, fuzzy sets, intuitionistic fuzzy sets
As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. And interval neutrosophic sets (INSs) have been proposed exactly to address issues with a set of numbers in the real unit interval, not just a specific number.However, there are fewer reliable operations for INSs, as well as the INS aggregation operators and decisionmakingmethod. For this...
Topics: intuitionistic fuzzy sets, decision making problems
Considering corresponding credibility on every evaluation value of interval neutrosophic numbers (INNs) in interval neutrosophic decision making, we put forward two interval neutrosophic weighted aggregation operators considering credibility, including a credibility-induced interval neutrosophic weighted arithmetic averaging (CIINWAA) operator and a credibility-induced interval neutrosophic weighted geometric averaging (CIINWGA) operator, and investigate their properties.
Topics: Interval neutrosophic set, Credibility-induced interval neutrosophic weighted arithmetic
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Granular computing is a computational paradigm that mimics human cognition in terms of grouping similar information together. Compatibility operators such as cardinality, orientation, density, and multidimensional length act on both in raw data and information granules which are formed from raw data providing a framework for human-like information processing where information granulation is intrinsic.
Topics: Granular computing, Information granulation, Neural-fuzzy logic, Neutrosophic logic
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The paper presents some steps for multi-valued representation of neutrosophic information. These steps are provided in the framework of multivalued logics using the following logical value: true, false, neutral, unknown and saturated. Also, this approach provides some calculus formulae for the following neutrosophic features: truth, falsity, neutrality, ignorance, underdefinedness, over-definedness, saturation and entropy,. In addition, it was defined net truth, definedness and neutrosophic...
Topics: Neutrosophic information, entropy, multi-valued logic
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Nov 2, 2015
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The focus of this paper is to propose a new notion of Fuzzy Neutrosophic soft set and to study some basic operations and results in Fuzzy Neutrosophic soft spaces. Further we develop a systematic study on Fuzzy Neutrosophic soft set and obtain various properties induced by them. Some equivalent characterization and inter-relations among them are discussed with counter example.
Topics: Soft sets, Neutrosophic set, Neutrosophic soft set
Neutrosophic emergences and incidences in communication and information, published in Germany/Saarbrücken: LAP LAMBERT Academic Publishing in 2013, is a book that constitutes a new trend, a new approach in the science of logic, philosophy, communication theory, information, an approached and exemplification that it was wanted, it was intuited, it was expected but it has no mathematical foundation, that is neutrosophy.
Topics: neutrosophy, logic, communication, e-function
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Florentin Smarandache is known as scientist and writer. He writes in three languages: Romanian, French, and English. He graduated the Department of Mathematics and Computer Science at the University of Craiova in 1979 first of his class, earned a Ph. D. in Mathematics from the State University Moldova at Kishinev in 1997, and continued postdoctoral studies at various American Universities such as University of Texas at Austin, University of Phoenix, etc. after emigration.
Topics: neutrosophy, truth-value, false-value, neutrality
The interval neutrosophic set (INS) can be easier to express the incomplete, indeterminate and inconsistent information, and TOPSIS is one of the most commonly used and effective method for multiple attribute decision making, however, in general, it can only process the attribute values with crisp numbers.
Topics: interval neutrosophic set, TOPSIS, multiple attribute decision making
In the real world it is a routine that one must deal with uncertainty when security is concerned. Intrusion detection systems offer a new challenge in handling uncertainty due to imprecise knowledge in classifying the normal or abnormal behaviour patterns. In this paper we have introduced an emerging approach for intrusion detection system using Neutrosophic Logic Classifier which is an extension/combination of the fuzzy logic, intuitionistic logic, paraconsistent logic, and the three-valued...
Topics: Intrusion, KDD cup, Uncertainty, Fuzzy, Neutrosophic
It is of great interest to develop a framework containing a library of the main building blocks of common use to neutrosophic data. This framework would save much of the routine work that is needed to build most types of neutrosophic data. In this paper, we would like to introduce model neutrosophic data sets. The use of object oriented programming techniques and concepts as they may apply to the design and development a new framework to implement neutrosophic data operations
Topics: Neutrosophicdata, software programs, neutrosophic database
In this paper, we have we have introduced a new intelligent soft-computing method of neutrosophic search with ranks and a new neutrosophic rank sets for neutrosophic relational data model (NRDM). Essentially the data and documents on the Web are heterogeneous; inconsistency is unavoidable in Web mining.
Topics: Rank neutrosophic sets, Rank Neutrosophic search, Neutrosophic relation
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Many theories have been developed for uncertainties, including the theory of probability, theory of fuzzy sets, theory of intuitionistic fuzzy sets and theory of rough sets and so on. Although many new techniques have been developed as a result of these theories, yet difficulties are still there. The major difficulties arise due to inadequacy of parameters.
Topics: Fuzzy Neutrosophic set, fuzzy sets, theory of intuitionistic fuzzy sets
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In this paper, we introduce and study the concepts of correlation and correlation coefficient of neutrosophic data in probability spaces. In the case of finite spaces, these results give the results due to Salama and study some of their properties.
Topics: Correlation Coefficient, Fuzzy Sets, Neutrosophic Sets
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In this paper, we propose another method to calculate the correlation coefficient of neutrosophic sets. The value which obtained from this method tells us the strength of relationship between the neutrosophic sets and the whether the neutrosophic sets are positively or negatively related. Finally we give some proposition and examples.
Topics: Correlation Coefficient, Fuzzy Set, Neutrosophic Sets
Most applications in the field of medical image processing require precise estimation. To improve the accuracy of segmentation, this study aimed to propose a novel segmentation method for coronary arteries using computed tomography angiography (CTA) data sets to allow for the automatic and accurate detection of coronary pathologies.
Topics: estimation, accuracy, coronary arteries
Clustering plays an important role in data mining, pattern recognition, and machine learning. Singlevalued neutrosophic sets (SVNSs) are useful means to describe and handle indeterminate and inconsistent information that fuzzy sets and intuitionistic fuzzy sets cannot describe and deal with. To cluster the data represented by single-valued neutrosophic information, this article proposes single-valued neutrosophic clustering methods based on similarity measures between SVNSs.
Topics: Neutrosophic set, single-valued neutrosophic set, clustering algorithm
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A classical system of mathematics is homogenous without contradictions. But it is a little ambiguous for modern mathematics, for instance, the Smarandache geometry.
Topics: Non-mathematics, topological graph, Smarandache system
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In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Frenet frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the asymptotic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common...
Topics: Smarandache curve, family of surfaces
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Nov 2, 2015
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The theory of fuzzy sets, which was initiated by Zadeh in his seminal paper in 1965, was applied to generalize some of the basic concepts of algebra. The fuzzy algebraic structures play a vital role in mathematics withwide applications in many other branches such as theoretical physics, computer sciences, control engineering, information sciences, coding theory, logic, set theory, real analysis, measure theory etc.
Topics: set theory, fuzzy ideals, measure theory
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Nov 2, 2015
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In this paper, we introduce the notion of bi-Smarandache BL-algebra, bi-weak Smarandache BL-algebra, bi-Q-Smarandache ideal and bi-Q-Smarandache implicative filter, we obtain some related results and construct quotient of bi-Smarandache BL-algebras via MV-algebras (or briefly bi-Smarandache quotient BL-algebra) and prove some theorems.
Topics: bi-Smarandache BL-algebra, bi-weak Smarandache BL-algebra
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Nov 2, 2015
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Murthy introduced the concept of the Smarandache Cyclic Determinant Natural Sequence, the Smarandache Cyclic Arithmetic Determinant Sequence, the Smarandache Bisymmetric Determinant Natural Sequence, and the Smarandache Bisymmetric Arithmetic Determinant Sequence and in [2], Majumdar derived the n-th terms of these four sequences. In this paper, we present some of the results found by Majumdar in [2] but of different approach.. 
Topics: the Smarandache cyclic arithmetic determinant sequence, circulant matrix
In this work, two normal congruences are built on two quasigroups with underlining set.
Topics: quasigroups, normal congruence, linear-bivariate polynomials
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In all ages, “philosophers and artists have proposed definitions of Beauty; thanks to their testimonies can thus reconstruct a history of aesthetic ideas over the time. But other things were with the idea of Ugly. Most often, Ugly was defined in opposition to the Beauty, but almost never have been dedicated ample studies, but some hints in parenthesis or some marginal notes” as U. Eco asserts (Eco, 2005). Therefore, if a history of Beauty may resort to a long series of theoretical proofs...
Topics: beauty, ugly, neutrosophy
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Nov 2, 2015
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A graph that admits a Smarandachely near mean m-labeling is called Smarandachely near m-mean graph.
Topics: Smarandachely near m-labeling, Smarandachely near m-mean graph, mean graph
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Nov 2, 2015
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In this paper, we introduce the notions of Smarandache weak BE-algebra, Q-Smarandache filters and Q-Smarandache ideals.
Topics: Smarandache algebraic structures theory, Q-Smarandache filters
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In this paper, we study tripotent elements and Smarandache triple tripotents.
Topics: Tripotent, Smarandache triple tripotent
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Nov 2, 2015
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We discusse in this paper a Smarandache semigroups , a Smarandache normal subgroups and a Smarandache Lagrange semigroup.
Topics: Smarandache semigroups, Smarandache normal subgroups
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Nov 2, 2015
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In this paper, the notions of CI-algebras, Smarandache CI-algebra, Q-Smarandache filters and Q-Smarandache ideals are introduced.
Topics: CI-algebras, BE-algebra, dual BCK-algebra
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Nov 2, 2015
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In this paper, we define the Smarandache hyper BCC-algebra, and Smarandache hyper BCC-ideals of type 1, 2, 3 and 4. We state and prove some theorems in Smarandache hyper BCC-algebras, and then we determine the relationships between these hyper ideals.
Topics: Hyper BCC-algebra, Hyper BCK-algebra, Smarandache hyper BCC-algebra
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Nov 1, 2015
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The changing climate in supply chain management, driven by technological trends, increased competition, demand pressure, globalization and outsourcing has led companies to be more receptive to forming coalitions while taking a broader strategic view of the marketplace
Topics: Transport collaboration, Causal relationships
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Nov 1, 2015 Paula Bajdor, Iwona Grabara
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Being aware of the role that an information system in the company plays and its impact on individual processes, this article presents an information system used in the selected company. The first part discusses the essence of an information system, while in the second part of the article all the processes occurring in the studied company have been described, together with the information accompanying them.
Topics: information, information system, enterprise
A single-valued neutrosophic set is a special case of neutrosophic set. It has been proposed as a generalization of crisp sets, fuzzy sets, and intuitionistic fuzzy sets in order to deal with incomplete information.
Topics: Fuzzy set, Intuitionistic fuzzy set, Multi-attribute group decision making
In this paper, we studied the problems faced by construction workers in West Bengal in order to find its solutions using neutrosophic cognitive maps, which is the generalization of fuzzy cognitive maps. Florentin Smarandache and Vasantha Kandasamy studied neutrosophic cognitive map which is an extension of fuzzy cognitive map by incorporating indeterminacy.
Topics: Cognitive map, connection matrix, construction workers
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The paper assessed the investment in technology in cocoa processing industry in Nigeria The study was carried out in six cocoa processing organizations. Questionnaire technique supplemented with oral interview of officials of cocoa processing organisations were used for the study.
Topics: Technology, Investment, Cocoa processing
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We investigate connections between SAT (the propositional satisfiability problem) and combinatorics, around the minimum degree of variables in various forms of redundancy-free boolean conjunctive normal forms (clause-sets).
Topics: conjunctive normal form, deficiency, minimally unsatisfiable
The neutrosophic set (NS) can be better to express the incomplete, indeterminate and inconsistent information, and Hamacher aggregation operators extended the Algebraic and Einstein aggregation operators and the generalized aggregation operators can generalize the arithmetic, geometric, and quadratic aggregation operators.
Topics: Group decision-making, neutrosophic set (NS), Hamacher aggregation operator
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This paper presents some very basics aspects of neutrosophic logic, in particular, exhibits the connectives of negation, conjunction and disjunction as found in [1], and checks some few properties and relationship between them. Also, discusses other forms of negation and how under some aspects one careful choose may be necessary to ensure consistency. Moreover, touch on (briefly) modal operators.
Topics: Neutrosophic Logic, Negation, De Morgan’s Law, Modal Operators
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A single valued neutrosophic set (SVNS) is an instance of a neutrosophic set, which give us an additional possibility to represent uncertainty, imprecise, incomplete, and inconsistent information which exist in real world.
Topic: Cross entropy Single valued neutrosophic set
Neutrosophic set is a powerful general formal framework, which generalizes the concept of the classic set, fuzzy set, interval valued fuzzy set, intuitionistic fuzzy set, and interval-valued intuitionistic fuzzy set from philosophical point of view.
Topics: Decision making, neutrosophic set, simplified neutrosophic set
In this paper, we firstly introduced single valued neutrosophic numbers which is a generalization of fuzzy numbers and intuitionistic fuzzy numbers. A single valued neutrosophic number is simply an ordinary number whose precise value is somewhat uncertain from a philosophical point of view.
Topics: Neutrosophic set, single valued neutrosophic numbers, trapezoidal neutrosophic numbers
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In this study, the use of taylor series method in the calculation of some means with single auxiliary variable developed in a simple random sampling and mean square error unit ratio estimators having certain properties was investigated.
Topics: Simple Random Sampling, Taylor Series Approach
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Currently, the image of a company, its corporate identity and culture have become of fundamental importance. Involvement in the community is necessary for a company that wants to ensure not only commercial success but also the respect in which society operates. Donations, sponsorship and corporate social responsibility are forms that companies can interact with the community in which it operates.
Topics: corporate social responsibility. environment, sustainability
The study finds that, for Romania, the period 1920-1939 is one without major contradictions. In “neutrosophy” of renowed American professor F. Smarandache’s terms, the interwar period was, in Romania, a “neutral” period. As mediating operators, professional journals reflected the atmosphere of relative tranquility and social peace.
Topics: press, journalism, neutrality
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In this paper, we introduce special Smarandache curves according to Sabban frame on S2 and we give some characterization of Smarandache curves. Besides, we illustrate examples of our results.
Topics: Smarandache Curves, Sabban Frame, Geodesic Curvature
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In this paper, we investigate special Smarandache curves according to Bishop frame in Euclidean 3-space and we give some differential geometric properties of Smarandache curves. Also we find the centers of the osculating spheres and curvature spheres of Smarandache curves.
Topics: Bishop frame, Euclidean 3-space
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In this paper, we introduce Smarandache curves according to the Lorentzian Darboux frame of a curve on spacelike surface in Minkowski 3-space.
Topic: Euclidean and Minkowski spaces
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We introduce special Smarandache curves based on Sabban frame on S and we investigate geodesic curvatures of Smarandache curves on de Sitter and hyperbolic spaces.The existence of duality between Smarandache curves on de Sitter space and Smarandache curves on hyperbolic space is shown. Furthermore, we give examples of our main results.
Topics: Sitter space, Smarandache curves
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In this paper we introduce the notion of a smarandache completely prime ideal with respect to an element belated to a near field of a near ring N (b-s-c.p.i) of N. We study some properties of this new concept and link it with some there types of ideals of a near ring.
Topics: Smarandache Completely Prime, Near Ring
We will define in this paper the Smarandache-Coman divisors of order k of a composite integer n with m prime factors, a notion that seems to have promising applications, at a first glance at least in the study of absolute and relative Fermat pseudoprimes, Carmichael numbers and Poulet numbers.
Topics: Fermat pseudoprimes, Carmichael numbers, Poulet numbers.
In two previous articles I defined the Smarandache-Coman divisors of order k of a composite integer n with m prime factors and I made few conjectures about few possible infinite sequences of Poulet numbers, characterized by a certain set of Smarandache-Coman divisors. In this paper I define a very related notion, the Smarandache-Coman congruence on primes, and I also make five conjectures regarding Poulet numbers based on this new notion.
Topics: Smarandache-Coman congruence, primes
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Nov 1, 2015
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In this paper we define the Smarandache BL-algebra, Q -Smarandache ideal and Q -Smarandache implicative ideal, we obtain some related results. After that by considering the notions of these ideals we determine relationships between ideals in BL-algebra and Q -Smarandache (implicative) ideals of BL-algebra. Finally we construct quotient of Smarandache BL-algebras via MV-algebra and prove some theorems.
Topics: BL-algebra, Smarandache BL-algebra
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Nov 1, 2015
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We introduce the notion of Smarandache BCH-algebra and Smarandache (fresh, clean and fantastic) ideals, some example are given and related properties are investigated. Relationship between Q-Smarandache (fresh, clean and fantastic) ideals and other types of ideals are given. Extension properties for Q-Smarandache (fresh, clean and fantastic) ideals are established.
Topics: BCH-algebra, Smarandache BCH-algebra
In a previous article I defined the Smarandache-Coman divisors of order k of a composite integer n with m prime factors and I sketched some possible applications of this concept in the study of Fermat pseudoprimes. In this paper I make few conjectures about few possible infinite sequences of Poulet numbers, characterized by a certain set of Smarandache-Coman divisors.
Topics: Smarandache-Coman divisors, prime factor