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Neutrosophic Triplet Group Based on Set Valued Neutrosophic Quadruple Numbers

Neutrosophic Triplet Group Based on Set Valued Neutrosophic Quadruple Numbers PDF Author: Memet Şahin
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10

Book Description
Smarandache introduced neutrosophic quadruple sets and neutrosophic quadruple numbers [45] in 2015. These sets and numbers are real or complex number valued. In this study, we firstly introduce set valued neutrosophic quadruple sets and numbers. We give some known and special operations for set valued neutrosophic quadruple numbers.

Neutrosophic Triplet Group Based on Set Valued Neutrosophic Quadruple Numbers

Neutrosophic Triplet Group Based on Set Valued Neutrosophic Quadruple Numbers PDF Author: Memet Şahin
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10

Book Description
Smarandache introduced neutrosophic quadruple sets and neutrosophic quadruple numbers [45] in 2015. These sets and numbers are real or complex number valued. In this study, we firstly introduce set valued neutrosophic quadruple sets and numbers. We give some known and special operations for set valued neutrosophic quadruple numbers.

Neutrosophic Sets and Systems, Vol. 30, 2019

Neutrosophic Sets and Systems, Vol. 30, 2019 PDF Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 293

Book Description
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Neutrosophic Sets and Systems Book Series, Vol. 30, 2019

Neutrosophic Sets and Systems Book Series, Vol. 30, 2019 PDF Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 293

Book Description
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

Neutrosophic Triplet m-Banach Spaces

Neutrosophic Triplet m-Banach Spaces PDF Author: Abdullah Kargın
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 16

Book Description
Neutrosophic triplet theory has an important place in neutrosophic theory. Since the neutrosophic triplet set (Nts), which have the feature of having multiple unit elements, have different units than the classical unit, they have more features than the classical set. Also, Banach spaces are complete normed vector space defined by real and complex numbers that are studied historically in functional analysis. Thus, normed space and Banach space have an important place in functional analysis. In this article, neutrosophic triplet m-Banach spaces (NtmBs) are firstly obtained. Then, some definitions and examples are given for NtmBs. Based on these definitions, new theorems are given and proved. In addition, it is shown that NtmBs is different from neutrosophic triplet Banach space (NtBs). Furthermore, it is shown that relationship between NtmBs and NtBs. So, we added a new structure to functional analysis and neutrosophic triplet theory.

Neutrosophic Algebraic Structures and Their Applications

Neutrosophic Algebraic Structures and Their Applications PDF Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 269

Book Description
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.

Quadruple Neutrosophic Theory And Applications, Volume I

Quadruple Neutrosophic Theory And Applications, Volume I PDF Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 306

Book Description


NeutroAlgebra Theory Volume I

NeutroAlgebra Theory Volume I PDF Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Architecture
Languages : en
Pages : 219

Book Description
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.

Neutrosophic Extended Triplet Group Based on Neutrosophic Quadruple Numbers

Neutrosophic Extended Triplet Group Based on Neutrosophic Quadruple Numbers PDF Author: Qiaoyan Li
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 15

Book Description
In this paper, we explore the algebra structure based on neutrosophic quadruple numbers. Moreover, two kinds of degradation algebra systems of neutrosophic quadruple numbers are introduced. In particular, the following results are strictly proved: (1) the set of neutrosophic quadruple numbers with a multiplication operation is a neutrosophic extended triplet group; (2) the neutral element of each neutrosophic quadruple number is unique and there are only sixteen different neutral elements in all of neutrosophic quadruple numbers; (3) the set which has same neutral element is closed with respect to the multiplication operator; (4) the union of the set which has same neutral element is a partition of four-dimensional space.

Neutrosophic Modeling of Talcott Parsons’s Action and Decision-Making Applications for It

Neutrosophic Modeling of Talcott Parsons’s Action and Decision-Making Applications for It PDF Author: Cahit Aslan
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 19

Book Description
The grand theory of action of Parsons has an important place in social theories. Furthermore, there are many uncertainties in the theory of Parsons. Classical math logic is often insufficient to explain these uncertainties. In this study, we explain the grand theory of action of Parsons in neutrosociology for the first time.

Neutrosophic Sets and Systems, Vol. 40, 2021

Neutrosophic Sets and Systems, Vol. 40, 2021 PDF Author: Florentin Smarandache
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 279

Book Description
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.