Results 1 to 10 of about 41 (32)
Generalizations and alternatives of classical algebraic structures to neutroAlgebraic structures and antiAlgebraic structures [PDF]
Journal of Fuzzy Extension and Applications, 2020 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 ...
Florentin Smarandache
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Real Examples of NeutroGeometry & AntiGeometry [PDF]
Neutrosophic Sets and Systems, 2023 For the classical Geometry, in a geometrical space, all items (concepts, axioms, theorems, etc.) are totally (100%) true. But, in the real world, many items are not totally true. The NeutroGeometry is a geometrical space that has some items that are only
Florentin Smarandache
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NeutroAlgebra & AntiAlgebra vs. Classical Algebra [PDF]
Transactions on Fuzzy Sets and Systems, 2022 NeutroAlgebra $\&$ AntiAlgebra vs. Classical Algebra is a like Realism vs. Idealism. Classical Algebra does not leave room for partially true axioms nor partially well-defined operations. Our world is full of indeterminate (unclear, conflicting
Florentin Smarandache
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NeutroAlgebra is a Generalization of Partial Algebra [PDF]
, 2020 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 ...
Smarandache, Florentin
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, 2020 Recently, the concept of NeutroAlgebraic and AntiAlgebraic Structures were introduced and analyzed by Florentin Smarandache. His new approach to the study of Neutrosophic Structures presents a more robust tool needed for managing uncertainty ...
Agboola, A. A.A., Ibrahim, M. A.
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NeutroGeometry & AntiGeometry are alternatives and generalizations of the Non-Euclidean Geometries (revisited) [PDF]
, 2021 In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric spaces, by founding the NeutroGeometry ...
Smarandache, Florentin
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Structure, NeutroStructure, and AntiStructure in Science [PDF]
, 2020 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
Smarandache, Florentin
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A New Trend to Extensions of CI-algebras [PDF]
, 2020 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.
Kim, Hee Sik +2 more
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On Neutro-BE-algebras and Anti-BE-algebras [PDF]
, 2020 In this paper, the concepts of Neutro-BE-algebra and Anti-BE-algebra are introduced, and some related properties and four theorems are investigated. We show that the classes of Neutro-BE-algebra and Anti-BE-algebras are alternatives of the class of BE ...
Rezaei, Akbar, Smarandache, Florentin
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The Neutrosophic Triplet of -algebras [PDF]
, 2020 In this paper, the concepts of a Neutro--algebra and Anti--algebra are introduced, and some related properties are investigated.
Rezaei, Akbar, Smarandache, Florentin
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