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Neutrosophic Statistics
by Muhammad Aslam; Mohammed Albassam
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Journals
by A.A.A. Agboola
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The objective of this paper is to formally present the concept of NeutroGroups by considering three NeutroAxioms (NeutroAssociativity, existence of NeutroNeutral element and existence of NeutroInverse element). Several interesting results and examples of NeutroGroups, NeutroSubgroups, NeutroCyclicGroups, NeutroQuotientGroups and NeutroGroupHomomorphisms are presented.
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By his theory of relativity Albert Einstein has provoked a revolution of thought in physical science. The achievement consists essentially in this:�Einstein has succeeded in separating far more completely than hitherto the share of the observer and the share of external nature in the things we see happen. The perception of an object by an observer depends on his own situation and circumstances; for example, distance will make it appear smaller and dimmer. We make allowance for this almost...
Topics: Physics, Astronomy and Astrophysics�, Fundamental Astronomy and Astrophysics, Instrumentation,...
Source: http://www.flooved.com/reader/3122
Neutrosophic Statistics
by Carlos N. Bouza-Herrera; Mir Subzar
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Neutrosophic Statistics
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The objective of this paper is to examine NeutroAlgebras and AntiAlgebras viz-a-viz the classical number systems.
Neutrosophic Statistics
by A.A. Salama; M. Elsayed Wahed; Eman Yousif
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Neutrosophic Statistics
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In this paper we present the development from paradoxism to neutrosophy, which gave birth to neutrosophic set and logic and especially to NeutroAlgebraic Structures (or NeutroAlgebras) and AntiAlgebraic Structures (or AntiAlgebras) that are generalizations and alternatives of the classical algebraic structures.
Journals
by Elahe Mohammadzadeh; Akbar Rezaei
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In this paper, we introduce the notion of commutator of two elements in a specific NeutroGroup. Then we define the notion of a NeutroNilpotentGroup and we study some of their properties. Moreover, we show that the intersection of two NeutroNilpotentGroups is a NeutroNilpotentGroup. Also, we show that the quotient of a NeutroNilpotentGroup is a NeutroNilpotentGroup. Specially, using NeutroHomomorphism we prove the NeutroNilpotentcy is closed with respect to homomorphic image.
Journals
by M.A. Ibrahim; A.A.A. Agboola
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NeutroSophication and AntiSophication are processes through which NeutroAlgebraic and AntiAlgebraic structures can be generated from any classical structures.
Neutrosophic Statistics
by Murat Kirisci; Necip Simsek
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We recall and improve our 2019 concepts of n-Power Set of a Set, n-SuperHyperGraph, Plithogenic n-SuperHyperGraph, and n-ary HyperAlgebra, n-ary NeutroHyperAlgebra, n-ary AntiHyperAlgebra respectively, and we present several properties and examples connected with the real world.
Neutrosophic Statistics
by Muhammad Aslam; Osama H. Arif; Rehan Ahmad Khan Sherwani
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Neutrosophic Statistics
by Muhammad Aslam; Osama H. Arif
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Neutrosophic Statistics
by Ishmal Shahzadi; Muhammad Aslam; Hussain Aslam
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Journals
by A.A.A. Agboola
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The objective of this paper is to introduce the concept of NeutroRings by considering three NeutroAxioms (NeutroAbelianGroup (additive), NeutroSemigroup (multiplicative) and NeutroDistributivity (multiplication over addition)). Several interesting results and examples on NeutroRings, NeutroSubgrings, NeutroIdeals, NeutroQuotientRings and NeutroRingHomomorphisms are presented. It is shown that the 1st isomorphism theorem of the classical rings holds in the class of NeutroRings.
Journals
by A.A.A. Agboola
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In this paper, we are going to study a class of NeutroGroups of type-NG[1,2,4]. In this class of NeutroGroups, the closure law, the axiom of associativity and existence of inverse are taking to be either partially true or partially false for some elements; while the existence of identity element and axiom of commutativity are taking to be totally true for all the elements.
Neutrosophic Statistics
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Neutrosophic Statistics
by Muhammad Aslam; Mansour Sattam Aldosari
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Neutrosophic Statistics
by Muhammad Aslam; Osama H. Arif; Rehan Ahmad Khan Sherwani
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Journals
by Florentin Smarandache; Akbar Rezaei; Hee Sik Kim
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In this paper, as an extension of CI-algebras, we discuss the new notions of Neutro-CI-algebras and Anti-CI-algebras. First, some examples are given to show that these definitions are different. We prove that any proper CI-algebra is a Neutro-BE-algebra or Anti-BE-algebra. Also, we show that any NeutroSelf-distributive and AntiCommutative CIalgebras are not BE-algebras.
Neutrosophic Statistics
by Muhammad Aslam
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Neutrosophic Statistics
by Muhammad Aslam; Abdulmohsen Al-Shareef; Khushnoor Khan
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Journals
by Akbar Rezaei; Florentin Smarandache
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In this paper, the concepts of Neutro-algebra and Anti-algebra are introduced, and some related properties and four theoremsare investigated. We show that the classes of Neutro-algebra and Anti-algebras are alternatives of the class of algebras.
Journals
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In all classical algebraic structures, the Axioms (Associativity, Commutativity, etc.) defined on a set are totally true, but it is again a restrictive case, because similarly there are numerous situations in science and in any domain of knowledge when an Axiom defined on a set may be only partially-true (and partially-false), that we call NeutroAxiom, or totally false that we call AntiAxiom. Therefore, we open for the first time in 2019 new fields of research called NeutroStructures and...
Journals
by Florentin Smarandache
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In this paper we recall, improve, and extend several definitions, properties and applications of our previous 2019 research referred to NeutroAlgebras and AntiAlgebras, also called NeutroAlgebraic Structures and respectively AntiAlgebraic Structures
Journals
by A.A.A. Agboola
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The notion of AntiGroups is formally presented in this paper. A particular class of AntiGroups of type-AG[4] is studied with several examples and basic properties presented. In AntiGroups of type-AG[4], the existence of an inverse is taking to be totally false for all the elements while the closure law, the existence of identity element, the axioms of associativity and commutativity are taking to be either partially true, partially indeterminate or partially false for some elements
Journals
by A.A.A. Agboola
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NeutroRings are alternatives to the classical rings and they are of different types. NeutroRings in some cases exhibit different algebraic properties, and in some cases they exhibit algebraic properties similar to the classical rings. The objective of this paper is to revisit the concept of NeutroRings and study finite and infinite NeutroRings of type-NR.
Neutrosophic Statistics
by Mohammed Albassam; Nasrullah Khan,Muhammad Aslam
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by Mohammad Hamidi; Florentin Smarandache
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This paper introduces the novel concept of Neutro-BCK-algebra. In Neutro-BCK-algebra, the outcome of any given two elements under an underlying operation (neutro-sophication procedure) has three cases, such as: appurtenance, non-appurtenance, or indeterminate. While for an axiom: equal, non-equal, or indeterminate. This study investigates the Neutro-BCK-algebra and shows that Neutro-BCK-algebra are different from BCKalgebra.
Journals
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In any science, a classical Theorem, defined on a given space, is a statement that is 100% true (i.e. true for all elements of the space). To prove that a classical theorem is false, it is sufficient to get a single counter-example where the statement is false. Therefore, the classical sciences do not leave room for partial truth of a theorem (or a statement). But, in our world and in our everyday life, we have many more examples of statements that are only partially true, than statements that...
Neutrosophic Statistics
by Ahmed Ibrahim Shawky; Muhammad Aslam; Khushnoor Khan
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