Neutrosophic Sets and Systems, Vol. 47, 2021

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 652 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 47, 2021 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 47, 2021 written by Florentin Smarandache and published by Infinite Study. This book was released on 2021-12-30 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on neutrosophic statistics, neutrosophic probability, plithogenic set, paradoxism, neutrosophic set, NeutroAlgebra, etc. and their applications.

Neutrosophic Sets and Systems, vol. 48/2022

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 496 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 48/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 48/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-02-01 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Neutrosophic Sets and Systems, vol. 50/2022

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 674 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 50/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 50/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-06-01 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Neutrosophic Sets and Systems, vol. 51/2022

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 970 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 51/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 51/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-09-01 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Introduction to Symbolic 2-Plithogenic Probability Theory

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis Introduction to Symbolic 2-Plithogenic Probability Theory by : Mohamed Bisher Zeina

Download or read book Introduction to Symbolic 2-Plithogenic Probability Theory written by Mohamed Bisher Zeina and published by Infinite Study. This book was released on 2023-01-01 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we present for the first time the concept of symbolic plithogenic random variables and study its properties including expected value and variance. We build the plithogenic formal form of two important distributions that are exponential and uniform distributions. We find its probability density function and cumulative distribution function in its plithogenic form. We also derived its expected values and variance and the formulas of its random numbers generating. We finally present the fundamental form of plithogenic probability density and cumulative distribution functions. All the theorems were proved depending on algebraic approach using isomorphisms. This paper can be considered the base of symbolic plithogenic probability theory.

Neutrosophic SuperHyperAlgebra and New Types of Topologies

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic SuperHyperAlgebra and New Types of Topologies by : Florentin Smarandache

Download or read book Neutrosophic SuperHyperAlgebra and New Types of Topologies written by Florentin Smarandache and published by Infinite Study. This book was released on 2023-09-01 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: In general, a system S (that may be a company, association, institution, society, country, etc.) is formed by sub-systems Si { or P(S), the powerset of S }, and each sub-system Si is formed by sub-sub-systems Sij { or P(P(S)) = P2(S) } and so on. That’s why the n-th PowerSet of a Set S { defined recursively and denoted by Pn(S) = P(Pn-1(S) } was introduced, to better describes the organization of people, beings, objects etc. in our real world. The n-th PowerSet was used in defining the SuperHyperOperation, SuperHyperAxiom, and their corresponding Neutrosophic SuperHyperOperation, Neutrosophic SuperHyperAxiom in order to build the SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra. In general, in any field of knowledge, one in fact encounters SuperHyperStructures. Also, six new types of topologies have been introduced in the last years (2019-2022), such as: Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, NeutroTopology, AntiTopology, SuperHyperTopology, and Neutrosophic SuperHyperTopology.

An Application of Neutrosophic Sets to Decision Making

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis An Application of Neutrosophic Sets to Decision Making by : Michael Gr. Voskoglou

Download or read book An Application of Neutrosophic Sets to Decision Making written by Michael Gr. Voskoglou and published by Infinite Study. This book was released on 2023-01-01 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frequently in real life situations decision making takes place under fuzzy conditions, because the corresponding goals and/or the existing constraints are not clearly defined. Maji et al. introduced in 2002 a method of parametric decision making using soft sets as tools and representing their tabular form as a binary matrix. As we explain here, however, in cases where some or all of the parameters used for the characterization of the elements of the universal set are of fuzzy texture, their method does not give always the best decision making solution. In order to tackle this problem, we modified in earlier works the method of Maji et al. by replacing the binary elements in the tabular form of the corresponding soft set either by grey numbers or by triangular fuzzy numbers. In this work, in order to tackle more efficiently cases in which the decision maker has doubts even about the correctness of the fuzzy/qualitative characterizations assigned to some or all of the elements of the universal set, we replace the binary elements of the tabular form by neutrosophic triplets. Our new, neutrosophic decision making method is illustrated by an application concerning the choice of a new player by a soccer club.

Neutrosophic Algebraic Structures and Their Applications

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 269 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Algebraic Structures and Their Applications by : Florentin Smarandache

Download or read book Neutrosophic Algebraic Structures and Their Applications written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-08-01 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Type Hyper Groups, New Type SuperHyper Groups and Neutro-New Type SuperHyper Groups

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4./5 ( download)

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Book Synopsis New Type Hyper Groups, New Type SuperHyper Groups and Neutro-New Type SuperHyper Groups by : Abdullah Kargın

Download or read book New Type Hyper Groups, New Type SuperHyper Groups and Neutro-New Type SuperHyper Groups written by Abdullah Kargın and published by Infinite Study. This book was released on 2023-01-01 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this chapter, a new type Hyper groups are defined, corresponding basic properties and examples for new type Hyper groups are given and proved. Moreover, new type Hypergroups groups and are compared to hyper groups and groups. New type Hyper groups are shown to have a more general structure according to Hyper groups and groups. Also, new type SuperHyper groups are defined, corresponding basic properties and examples for new type SuperHyper are given and proved. Furthermore, we defined neutro-new type SuperHyper groups.

Bipolar fuzzy hypersoft set and its application in decision making

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis Bipolar fuzzy hypersoft set and its application in decision making by : Ashraf Al-Quran

Download or read book Bipolar fuzzy hypersoft set and its application in decision making written by Ashraf Al-Quran and published by Infinite Study. This book was released on 2023-01-01 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Smarandache developed the idea of hypersoft set (HSS) theory as an extension of soft set (SS) theory. HSS provides a general mathematical framework for handling data that can be formulated as several trait-valued disjoint sets which blend to various traits. The major goal of this article is to lay the footing for supplying a new model called bipolar fuzzy hypersoft sets (BFHSSs) by linking both fuzzy sets (FSs) and HSSs under bipolarity property. By using positive and negative membership functions and multi-argument functions, these structures work best for testing uncertainty. This makes them better at solving real-world problems, especially ones that have both good and bad sides. This paper also has different operations for BFHSSs, such as absolute BFHSS, null BFHSS, complement, subset, union, intersection, and their related properties. Moreover, operations like OR and AND for BFHSS have been instituted. Some properties are demonstrated, and some numerical examples are given to illustrate the mechanism of using these tools. Finally, these tools are applied in the decision-making process based on an algorithm that is built.

Optimal Supplier Selection Via Decision-Making Algorithmic Technique Based on Single-Valued Neutrosophic Fuzzy Hypersoft Set

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4./5 ( download)

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Book Synopsis Optimal Supplier Selection Via Decision-Making Algorithmic Technique Based on Single-Valued Neutrosophic Fuzzy Hypersoft Set by : Muhammad Saeed

Download or read book Optimal Supplier Selection Via Decision-Making Algorithmic Technique Based on Single-Valued Neutrosophic Fuzzy Hypersoft Set written by Muhammad Saeed and published by Infinite Study. This book was released on 2021-02-01 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hypersoft set, an extension of soft set, is more flexible and useful as it tackles the limitation of soft set for dealing with scenarios where distinct attributes are further classified into disjoint attribute-valued sets. It replaces single-argument approximate function of soft set with multi-argument approximate function. The main goal of this research is to align existing literature on single-valued neutrosophic fuzzy soft sets with the need for such a multi-argument function.

Practical Applications of the Independent Neutrosophic Components and of the Neutrosophic Offset Components

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4./5 ( download)

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Book Synopsis Practical Applications of the Independent Neutrosophic Components and of the Neutrosophic Offset Components by : Florentin Smarandache

Download or read book Practical Applications of the Independent Neutrosophic Components and of the Neutrosophic Offset Components written by Florentin Smarandache and published by Infinite Study. This book was released on 2021-12-20 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The newly introduced theories, proposed as extensions of the fuzzy theory, such as the Neutrosophic, Pythagorean, Spherical, Picture, Cubic theories, and their numerous hybrid forms, are criticized by the authors of [1]. In this paper we respond to their critics with respect to the neutrosophic theories and show that the DST, that they want to replace the A-IFS with, has many flaws. Their misunderstanding, with respect to the partial and total independence of the neutrosophic components, is that in the framework of the neutrosophic theories we deal with a MultiVariate Truth-Value (truth upon many independent random variables) as in our real-life world, not with a UniVariate Truth-Value (truth upon only one random variable) as they believe. About the membership degrees outside of the interval [0, 1], which are now in the arXiv and HAL mainstream, it is normal that somebody who over-works (works overtime) to have an over-membership (i.e., membership degree above 1) to be distinguished from those who do not work overtime (whose membership degree is between 0 and 1). And, similarly, a negative employee (that who does only damages to the company) to have a negative membership (i.e., membership degree below 0) in order to distinguish him from the positive employees (those whose membership degree is above 0). There are elementary practical applications in this paper that allow us to think out of box (in this case the box is the interval [0, 1]).

International Journal of Neutrosophic Science (IJNS) Volume 14, 2021

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Neutrosophic Science (IJNS) Volume 14, 2021 by : Broumi Said

Download or read book International Journal of Neutrosophic Science (IJNS) Volume 14, 2021 written by Broumi Said and published by Infinite Study. This book was released on with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications.

P and R Order of Plithogenic Neutrosophic Cubic sets

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis P and R Order of Plithogenic Neutrosophic Cubic sets by : S.P. Priyadharshini

Download or read book P and R Order of Plithogenic Neutrosophic Cubic sets written by S.P. Priyadharshini and published by Infinite Study. This book was released on 2021-12-01 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper presents a new concept called P-Order (Union and Intersection) and R- Order (Union and Intersection) of the Plithogenic Neutrosophic Cubic Sets (PNCS). We derived some of the primary properties of the internal and external PNCS of P and R- Order. We also proved that P-Union and P- intersection of Truth (T) (resp. falsity (F), indeterminacy(I)) external PNCS may not be T (resp. F, I) external PNCS and R-Union and R-intersection of T (resp. F, I) internal PNCS may not be T (resp. F, I) internal PNCS with the numerical examples. This principle is extremely appropriate for analyzing problems that involve multi-attribute decision making since this PNCS is defined by many values of attribute and the reliability of the data is also so accurate.

Neutrosophic Sets and Systems, vol. 49/2022

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 611 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 49/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 49/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-04-01 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Neutrosophic Sets and Systems, vol. 52/2022

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 52/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 52/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-11-01 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Neutrosophic Linear Space Theory

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Linear Space Theory by : Rozina Ali

Download or read book Neutrosophic Linear Space Theory written by Rozina Ali and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we give a review about neutrosophic linear spaces and their properties.