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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NeutroGeometry & AntiGeometry are alternatives and generalizations of the Non-Euclidean Geometries [PDF]
Neutrosophic Sets and Systems, 2021 In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric spaces, by founding the NeutroGeometry & AntiGeometry.
Florentin Smarandache
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A Study of NeutroAlgebra and AntiAlgebra of Ideals in a Factor Ring [PDF]
Neutrosophic Sets and Systems, 2023 If I is an ideal in a ring R and M is the collection of all nontrivial ideals in the factor ring R/I, we find in this paper conditions under which (M, ⊕), (M, ⊗) and (M, ∩) are NeutroAlgebras and AntiAlgebras where ⊕, ⊗ and ∩ are the usual sum, product ...
A.A.A. Agboola, M.A. Ibrahim
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A note on AntiGeometry and NeutroGeometry and their application to real life [PDF]
Neutrosophic Sets and Systems, 2022 Dealing with NeutroGeometry in true, false, and uncertain regions is becoming of great interested for researchers. Not too many studies have been done on this topic, for that reason, aim of this work is to define a new method to deal with NeutroGeometry ...
Carlos Granados
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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 of Idempotents in Group Rings [PDF]
Neutrosophic Sets and Systems, 2022 In this paper, the authors study the new concept of NeutroAlgebra of idempotents in group rings. It is assumed that RG is the group ring of a group G over the ring R. R should be a commutative ring with unit 1.
Vasantha Kandasamy +1 more
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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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NeutroAlgebra of Neutrosophic Triplets using {Zn, ×} [PDF]
Neutrosophic Sets and Systems, 2020 Smarandache in 2019 has generalized the algebraic structures to NeutroAlgebraic structures and AntiAlgebraic structures. In this paper, authors, for the first time, define the NeutroAlgebra of neutrosophic triplets group under usual+ and x, built using ...
Vasantha Kandasamy +2 more
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A Review on Recent Development of Neutro-Topology [PDF]
Neutrosophic Sets and SystemsSmarandache proposed NeutroAlgebra and AntiAlgebra. NeutroAlgebras and AntiAlgebras are a new research topic based on real-world scenarios. He investigated the concepts of neutro- and anti-structure. He demonstrated using NeutroAlgebra concepts that just
Bhimraj Basumatary
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A NeutroStructural Framework for Coordinated Development Evaluation of Land Resource Utilization and Ecological Environmental Protection [PDF]
Neutrosophic Sets and SystemsBalancing land resource utilization with ecological environmental protection has become a global necessity in the face of accelerating urbanization, agriculture expansion, and climate change.
Qian Luan
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