Author : Mehmet Şahin
Publisher : Infinite Study
Page : 34 pages
File Size : 20,26 MB
Release :
Category :
ISBN :
In this study we define the generalizing single valued triangular neutrosophic number. In addition, single valued neutrosophic numbers are transformed into single valued triangular neutrosophic numbers according to the values of truth, indeterminacy and falsity. Furthermore, we extended the Hamming distance given for triangular intuitionistic fuzzy numbers to single valued triangular neutrosophic numbers. We have defined new score functions based on the Hamming distance.
Author : YUAN RONG
Publisher : Infinite Study
Page : 24 pages
File Size : 18,44 MB
Release :
Category : Mathematics
ISBN :
Single-valued neutrosophic set (SVN) can valid depict the incompleteness, nondeterminacy and inconsistency of evaluation opinion, and the Power average (PA) operator can take into account the correlation of multiple discussed data. Meanwhile, Archimedean copula and co-copula (ACC) can signi cant generate operational laws based upon diverse copulas.
Author : Mehmet Çelik
Publisher : Infinite Study
Page : 14 pages
File Size : 35,68 MB
Release :
Category : Mathematics
ISBN :
In classical group theory, homomorphism and isomorphism are significant to study the relation between two algebraic systems. Through this article, we propose neutro-homomorphism and neutro-isomorphism for the neutrosophic extended triplet group (NETG) which plays a significant role in the theory of neutrosophic triplet algebraic structures. Then, we define neutro-monomorphism, neutro-epimorphism, and neutro-automorphism. We give and prove some theorems related to these structures. Furthermore, the Fundamental homomorphism theorem for the NETG is given and some special cases are discussed. First and second neutro-isomorphism theorems are stated. Finally, by applying homomorphism theorems to neutrosophic extended triplet algebraic structures, we have examined how closely different systems are related.
Author :
Publisher : Infinite Study
Page : 98 pages
File Size : 45,63 MB
Release : 2019-10-01
Category : Mathematics
ISBN :
International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophics and its Applications.
Author : Florentin Smarandache
Publisher : Infinite Study
Page : 269 pages
File Size : 29,81 MB
Release : 2022-08-01
Category : Mathematics
ISBN :
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.
Author : Guiwu Wei
Publisher : Infinite Study
Page : 25 pages
File Size : 36,14 MB
Release :
Category : Mathematics
ISBN :
In this article, the VIKOR method is proposed to solve the multiple criteria group decision making (MCGDM) with 2-tuple linguistic neutrosophic numbers (2TLNNs). Firstly, the fundamental concepts, operation formulas and distance calculating method of 2TLNNs are introduced. Then some aggregation operators of 2TLNNs are reviewed.
Author : Florentin Smarandache
Publisher : MDPI
Page : 450 pages
File Size : 29,52 MB
Release : 2019-04-04
Category : Mathematics
ISBN : 3038974757
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
Author : Florentin Smarandache
Publisher : Infinite Study
Page : 450 pages
File Size : 34,17 MB
Release :
Category : Mathematics
ISBN : 3038974765
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
Author : Florentin Smarandache
Publisher : Infinite Study
Page : 219 pages
File Size : 13,31 MB
Release : 2021-06-21
Category : 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.
Author : Florentin Smarandache
Publisher : Springer Nature
Page : 628 pages
File Size : 41,40 MB
Release : 2021-09-09
Category : Business & Economics
ISBN : 3030571971
This book addresses new concepts, methods, algorithms, modeling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, linear problems and new information related to optimization for the topic from the theoretical and applied viewpoints of neutrosophic sets and logic. The book is an innovatory of new tools and procedures, such as: Neutrosophic Statistical Tests and Dependent State Samplings, Neutrosophic Probabilistic Expert Systems, Neutrosophic HyperSoft Set, Quadripartitioned Neutrosophic Cross-Entropy, Octagonal and Spherical and Cubic Neutrosophic Numbers used in machine learning. It highlights the process of neutrosofication {which means to split the universe into three parts, two opposite ones (Truth and Falsehood), and an Indeterminate or neutral one (I) in between them}. It explains Three-Ways Decision, how the universe set is split into three different distinct areas, in regard to the decision process, representing: Acceptance, Noncommitment, and Rejection, respectively. The Three-Way Decision is used in the Neutrosophic Linguistic Rough Set, which has never been done before.
