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Neutrosophic Statistics
Apr 25, 2021 Madeleine Al-Tahan
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In this talk, we firstly review some basic concepts related to neutrosophy. Also, we discuss NeutroAlgebra. Next, we present some of our results related to our new defined concept NeutroOrderedAlgebra and compare it to the well known concept of Ordered Algebra. Finally, we leave with some questions that open new research options in this field.
Journals
Apr 25, 2021 F. Smarandache; A. Rezaei; S. Mirvakilii
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As generalizations and alternatives of classical algebraic structures Florentin Smarandache has introduced in 2019 the NeutroAlgebraic structures (or NeutroAlgebras) and AntiAlgebraic structures (or AntiAlgebras). Unlike the classical algebraic structures, where all operations are well-defined and all axioms are totally true, in NeutroAlgebras and AntiAlgebras the operations may be partially well-defined and the axioms partially true or respectively totally outerdefined and the axioms totally...
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Apr 24, 2021 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
Apr 24, 2021 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
Apr 24, 2021 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.
Journals
Apr 24, 2021 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.
Journals
Apr 24, 2021 F. Smarandache
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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...
Journals
Apr 24, 2021 Madeleine Al-Tahan; F. Smarandache; Bijan Davvaz
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Starting with a partial order on a NeutroAlgebra, we get a NeutroStructure. The latter if it satisfies the conditions of NeutroOrder, it becomes a NeutroOrderedAlgebra. In this paper, we apply our new defined notion to semigroups by studying NeutroOrderedSemigroups. More precisely, we define some related terms like NeutrosOrderedSemigroup, NeutroOrderedIdeal, NeutroOrderedFilter, NeutroOrderedHomomorphism, etc., illustrate them via some examples, and study some of their properties.
Journals
Apr 24, 2021 Madeleine Al-Tahan; Bijan Davvaz; Florentin Smarandache
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Neutrosophy, the study of neutralities, is a new branch of Philosophy that has applications in many different fields of science. Inspired by the idea of Neutrosophy, Smarandache introduced NeutroAlgebraicStructures (or NeutroAlgebras) by allowing the partiality and indeterminacy to be included in the structuresí operations and/or axioms. The aim of this paper is to combine the concept of Neutrosophy with hyperstructures theory. In this regard, we introduce NeutroSemihypergroups as well as...
Journals
Apr 24, 2021 Florentin Smarandache
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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...
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Apr 24, 2021 Diego Silva JimÈnez; Juan Alexis Valenzuela Mayorga; Mara Esther Roja Ubilla
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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...
Journals
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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.
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Apr 24, 2021 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
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Apr 24, 2021 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.
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Apr 24, 2021 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
Apr 24, 2021 A. Rezaei; F. Smarandache; S. Mirvakili
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In this paper, we extend the notion of semi-hypergroups (resp. hypergroups) to neutro-semihypergroups (resp. neutrohypergroups). We investigate the property of anti-semihypergroups (resp. anti-hypergroups). We also give a new alternative of neutro-hyperoperations (resp. anti-hyperoperations), neutro-hyperoperation-sophications (resp. anti-hypersophications). Moreover, we show that these new concepts are different from classical concepts by several examples.
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.
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Apr 24, 2021 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
Apr 24, 2021 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.
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Apr 24, 2021 Florentin Smarandache
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In all classical algebraic structures, the Laws of Compositions on a given set are well-defined. But this is a restrictive case, because there are many more situations in science and in any domain of knowledge when a law of composition defined on a set may be only partially-defined (or partially true) and partially-undefined (or partially false), that we call NeutroDefined, or totally undefined (totally false) that we call AntiDefined.
Journals
Apr 24, 2021 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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Apr 24, 2021 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
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Apr 24, 2021 A.A.A. Agboola; M.A. Ibrahim; E.O. Adeleke
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The objective of this paper is to examine NeutroAlgebras and AntiAlgebras viz-a-viz the classical number systems.
Neutrosophic Statistics
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Neutrosophic Statistics
Apr 23, 2021 Philippe Schweizer
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Neutrosophic Statistics
Apr 23, 2021 Muhammad Aslam; P. Jeyadurga; Saminathan Balamurali; Ali Hussein Al-Marshadi
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Apr 23, 2021 Muhammad Aslam; P. Jeyadurga; Saminathan Balamurali; Ali Hussein Al-Marshadi
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Neutrosophic Statistics
Apr 23, 2021 Mohammed Albassam; Nasrullah Khan,Muhammad Aslam
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Apr 23, 2021 Muhammad Aslam; Osama H. Arif
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Apr 23, 2021 Muhammad Aslam; Osama H. Arif
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Apr 23, 2021 Mohammed Albassam
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Apr 23, 2021 Abdullah M. Almarashi; Muhammad Aslam
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Apr 23, 2021 Muhammad Aslam; Mohammed Albassam
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Apr 23, 2021 Muhammad Aslam; Saminathan Balamurali; Jeyadurga Periyasamypandian; Ali Hussein Al-Marshadi
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Apr 23, 2021 Ali Hussein Al-Marshadi; Ambreen Shafqat; Muhammad Aslam; Abdullah Alharbey
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Apr 23, 2021 Muhammad Aslam; Osama H. Arif; Rehan Ahmad Khan Sherwani
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Apr 23, 2021 Muhammad Aslam; Osama H. Arif; Rehan Ahmad Khan Sherwani
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Apr 23, 2021 Deepesh Kunwar; Jayant Singh; Florentin Smarandache
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Apr 23, 2021 Deepesh Kunwar; Jayant Singh; Florentin Smarandache
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Apr 23, 2021 Ishmal Shahzadi; Muhammad Aslam; Hussain Aslam
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Apr 23, 2021 Murat Kirisci; Necip Simsek
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Apr 23, 2021 Rehan Ahmad Khan Sherwan; Mishal Naeem; Muhammad Aslam; Muhammad Ali Raza; Muhammad Abid; Shumaila Abbas
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Apr 23, 2021 Muhammad Aslam
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Apr 23, 2021 Muhammad Aslam; Osama H. Arif
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Apr 23, 2021 Ahmed Ibrahim Shawky; Muhammad Aslam; Khushnoor Khan
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Apr 23, 2021 Muhammad Aslam; Nasrullah Khan; Muhammad Zahir Khan
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Apr 23, 2021 Muhammad Aslam; Abdulmohsen Al-Shareef; Khushnoor Khan
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Apr 23, 2021 Muhammad Aslam; Rashad A. R. Bantan; Nasrullah Khan
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Apr 23, 2021 Muhammad Aslam; Rashad A. R. Bantan; Nasrullah Khan
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Apr 23, 2021 Nasrullah Khan; Muhammad Aslam; P. Jeyadurga; S. Balamurali
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Apr 23, 2021 Mirela Teodorescu; Florentin Smarandache; Daniela Gifu
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Apr 23, 2021 Muhammad Aslam; Mansour Sattam Aldosari
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Apr 23, 2021 Muhammad Aslam; Mohammed Albassam
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Apr 23, 2021 Muhammad Aslam; Mohammed Albassam
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Apr 23, 2021 Muhammad Aslam
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Apr 23, 2021 Jiqian Chen; Jun Ye; Shigui Du; Rui Yong
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Apr 23, 2021 Jun Ye; Jiqian Chen; Rui Yong; Shigui Du
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Apr 23, 2021 Carlos N. Bouza-Herrera; Mir Subzar
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Apr 23, 2021 Muhammad Aslam; R. A. R. Bantan; N. Khan
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Apr 23, 2021 Muhammad Aslam; Nasrullah Khan; Ali Hussein AL-Marshadi
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Apr 23, 2021 Muhammad Aslam; Nasrullah Khan; Ali Hussein Al-Marshadi
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Apr 23, 2021 Muhammad Aslam; Rashad A. R. Bantan; Nasrullah Khan
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Apr 23, 2021 Muhammad Zahir Khan; Muhammad Farid Khan; Muhammad Aslam; Abdur Razzaque Mughal
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Apr 23, 2021 Muhammad Aslam; R. A. R. Bantan; N. Khan
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Apr 23, 2021 Muhammad Aslam; Ali Hussein Al-Marshadi
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Apr 23, 2021 Muhammad Kashif; Hafiza Nida; Muhammad Imran Khan; Muhammad Aslam
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Apr 23, 2021 Muhammad Aslam; Nasrullah Khan; Mohammed Albassam
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Apr 23, 2021 Muhammad Aslam; Osama Hasan Arif
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Apr 23, 2021 Muhammad Aslam; Ali Hussein Al-Marshadi; Nasrullah Khan
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Apr 23, 2021 Nouran M. Radwan; M. Badr Senousy; Alaa El Din M. Riad
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Apr 23, 2021 O.H. Arif; Muhammad Aslam
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Apr 23, 2021 Muhammad Aslam
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Apr 23, 2021 Muhammad Aslam
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Apr 23, 2021 Muhammad Aslam; Ambreen Shafqat; Mohammed Albassam; Jean-Claude Malela-Majika; Sandile C. Shongwe
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Apr 23, 2021 B. Kavitha; S. Karthikeyan; P. Sheeba Maybell
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Apr 23, 2021 Muhammad Aslam; Ali Algarni
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Apr 23, 2021 Muhammad Aslam; Mansour Sattam Aldosari
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Apr 23, 2021 A.A. Salama; M. Elsayed Wahed; Eman Yousif
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Apr 23, 2021 Muhammad Zahir Khan; Muhammad Farid Khan; Muhammad Aslam; Seyed Taghi Akhavan Niaki; Abdur Razzaque Mughal
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