NEUTROSOPHIC TRIPLET STRUCTURES, Volume I
Title | NEUTROSOPHIC TRIPLET STRUCTURES, Volume I PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 199 |
Release | 2019 |
Genre | Mathematics |
ISBN | 1599735954 |
Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been an important tool in the application of various areas such as data mining, decision making, e-learning, engineering, medicine, social science, and some more.
Neutrosophic Triplet Structures, Volume I
Title | Neutrosophic Triplet Structures, Volume I PDF eBook |
Author | Memet Şahin |
Publisher | Infinite Study |
Pages | 24 |
Release | |
Genre | Mathematics |
ISBN |
In this chapter, a different outperforming access for MCDM problems is recommended to approach positions pointing with in each cluster of numbers in the absolute system interval and unequitable a definitive number among a bipolar neutrosophic set. Mostly, the procedures of inter-valued bipolar neutrosophic sets and their associated characters are imported. Formerly certain outperforming similarities for inter-valued bipolar neutrosophic numbers (IVBNNs) are described depend on ELECTRE, and the characters of the outperforming similarities are farther considered definitely. Furthermore, depend on the outperforming similarities of IVBNSs, a ranking approach is advanced that one may clarify MCDM problems.
Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume I
Title | Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume I PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 480 |
Release | |
Genre | Mathematics |
ISBN | 3038973858 |
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
NEUTROSOPHIC TRIPLET STRUCTURES, Volume I
Title | NEUTROSOPHIC TRIPLET STRUCTURES, Volume I PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 21 |
Release | |
Genre | Mathematics |
ISBN |
In this chapter, we introduce neutrosophic triplet cosets for neutrosophic triplet G-module and neutrosophic triplet quotient G-module. Then, we give some definitions and examples for neutrosophic triplet quotient G-module and neutrosophic triplet cosets. Also, we obtain isomorphism theorems for neutrosophic triplet G-modules and we prove isomorphism theorems for neutrosophic triplet G-modules.
Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II
Title | Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 452 |
Release | |
Genre | Mathematics |
ISBN | 3038974765 |
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
NeutroAlgebra Theory Volume I
Title | NeutroAlgebra Theory Volume I PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 219 |
Release | 2021-06-21 |
Genre | Architecture |
ISBN |
A collection of papers from multiple authors. In 2019 and 2020 Smarandache [1, 2, 3, 4] generalized the classical Algebraic Structures to NeutroAlgebraic Structures (or NeutroAlgebras) {whose operations and axioms are partially true, partially indeterminate, and partially false} as extensions of Partial Algebra, and to AntiAlgebraic Structures (or AntiAlgebras) {whose operations and axioms are totally false}. The NeutroAlgebras & AntiAlgebras are a new field of research, which is inspired from our real world. In classical algebraic structures, all axioms are 100%, and all operations are 100% well-defined, but in real life, in many cases these restrictions are too harsh, since in our world we have things that only partially verify some laws or some operations. Using the process of NeutroSophication of a classical algebraic structure we produce a NeutroAlgebra, while the process of AntiSophication of a classical algebraic structure produces an AntiAlgebra.
Quadruple Neutrosophic Theory And Applications, Volume I
Title | Quadruple Neutrosophic Theory And Applications, Volume I PDF eBook |
Author | Florentin Smarandache |
Publisher | Infinite Study |
Pages | 306 |
Release | |
Genre | Mathematics |
ISBN |