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Intuitionistic Fuzzy Hypersoft Sets
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Book Synopsis Intuitionistic Fuzzy Hypersoft Sets by : Adem Yolcu
Download or read book Intuitionistic Fuzzy Hypersoft Sets written by Adem Yolcu and published by Infinite Study. This book was released on 2021-01-20 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, a new environment namely, intuitionistic fuzzy hypersoft set (IFHSS) is defined. We introduce some fundamental operators of intuitionistic fuzzy hypersoft sets such as subset, null set, absolute set, complement, union, intersection, equal set etc. Validity and application are presented with appropriate examples. For greater precision and accuracy, in the future, proposed operations in decision making processes such as personal selection, management issues and others will play a vital role.
Book Synopsis Theory and Application of Hypersoft Set by : Florentin Smarandache
Download or read book Theory and Application of Hypersoft Set written by Florentin Smarandache and published by Infinite Study. This book was released on 2021-02-01 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Florentin Smarandache generalize the soft set to the hypersoft set by transforming the function š¹ into a multi-argument function. This extension reveals that the hypersoft set with neutrosophic, intuitionistic, and fuzzy set theory will be very helpful to construct a connection between alternatives and attributes. Also, the hypersoft set will reduce the complexity of the case study. The Book āTheory and Application of Hypersoft Setā focuses on theories, methods, algorithms for decision making and also applications involving neutrosophic, intuitionistic, and fuzzy information. Our goal is to develop a strong relationship with the MCDM solving techniques and to reduce the complexion in the methodologies. It is interesting that the hypersoft theory can be applied on any decision-making problem without the limitations of the selection of the values by the decision-makers. Some topics having applications in the area: Multi-criteria decision making (MCDM), Multi-criteria group decision making (MCGDM), shortest path selection, employee selection, e-learning, graph theory, medical diagnosis, probability theory, topology, and some more.
Book Synopsis Basic operations on hypersoft sets and hypersoft point by : Mujahid Abbas
Download or read book Basic operations on hypersoft sets and hypersoft point written by Mujahid Abbas and published by Infinite Study. This book was released on 2020-05-01 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is to initiat formal study of hypersoft sets. We first, present basic operations like union, intersection and difference of hypersoft sets; basic ingredients for topological structures on the collection of hypersoft sets.
Book Synopsis Distinctions between Various Types of Fuzzy-Extension HyperSoft Sets by : Florentin Smarandache
Download or read book Distinctions between Various Types of Fuzzy-Extension HyperSoft Sets written by Florentin Smarandache and published by Infinite Study. This book was released on 2024-01-01 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: We define the universes of discourses for all fuzzy and fuzzy-extension sets. Then present many types of Plithogenic Universes of discourse and their connections to HyperSoft Sets. Afterward, we make distinctions between various hybrid forms of HyperSoft Sets.
Book Synopsis Extension of Soft Set to Hypersoft Set, and then to Plithogenic Hypersoft Set by : Florentin Smarandache
Download or read book Extension of Soft Set to Hypersoft Set, and then to Plithogenic Hypersoft Set written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we generalize the soft set to the hypersoft set by transforming the function F into a multi-attribute function. Then we introduce the hybrids of Crisp, Fuzzy, Intuitionistic Fuzzy, Neutrosophic, and Plithogenic Hypersoft Set.
Book Synopsis Intuitionistic fuzzy hypersoft topology and ıts applications to multi-criteria decision-making by : Adem Yolcu
Download or read book Intuitionistic fuzzy hypersoft topology and ıts applications to multi-criteria decision-making written by Adem Yolcu 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: The aim of this paper is to introduce the concept of intuitionistic fuzzy hypersoft topology. Certain properties of intuitionistic fuzzy hypersoft (IFH) topology like IFH b asis, IFH subspace, IFH interior and IFH cloure are investigated. Furthermore, the multicriteria decision making (MCDM) algorithms with aggregation operators based on IFH topology are developed. In Algorithm 1 and Algorithm 2, MCDM problem is applied for IFH sets and IFH topology, respectively. Any real-life implementations of the proposed MCDM algorithms are demonstrated by numerical illustrations.
Book Synopsis Development of Hybrids of Hypersoft Set with Complex Fuzzy Set, Complex Intuitionistic Fuzzy set and Complex Neutrosophic Set by : Atiqe Ur Rahman
Download or read book Development of Hybrids of Hypersoft Set with Complex Fuzzy Set, Complex Intuitionistic Fuzzy set and Complex Neutrosophic Set written by Atiqe Ur Rahman and published by Infinite Study. This book was released on 2020-12-01 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complex fuzzy soft set and its generalized hybrids are such effective structures which not only minimize the impediments of all complex fuzzy-like structures for dealing uncertainties but also fulfill all the parametric requirements of soft sets. This feature makes it a completely new mathematical tool for solving problems dealing with uncertainties. Smarandache conceptualized hypersoft set as a generalization of soft set as it transforms the single attribute function into a multi-attribute function. This generalization demands an extension of complex fuzzy soft-like structures to hypersoft structure for more precise results. In this study, hybrids of hypersoft set with complex fuzzy set and its generalized structures i.e. complex intuitionistic fuzzy set and complex neutrosophic set, are developed along with illustrative examples to address the demand of literature. Moreover, some of their fundamentals i.e. subset, equal sets, null set, absolute set etc. and theoretic operations i.e. compliment, union, intersection etc. are discussed.
Book Synopsis Development of Some New Hybrid Structures of Hypersoft Set with Possibility-degree Settings by : Atiqe Ur Rahman
Download or read book Development of Some New Hybrid Structures of Hypersoft Set with Possibility-degree Settings written by Atiqe Ur Rahman and published by Infinite Study. This book was released on 2023-01-01 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of a hypersoft membership function is introduced in the extension of a soft set known as a hypersoft set, permitting it to handle complicated and uncertain information in a more powerful and flexible manner. Many academics have already become fascinated with this new area of study, leading to the development of a number of hybrid structures. This chapter develops some new hybrid hypersoft set structures by taking into account multiple fuzzy set-like settings and possibility degree-based settings collectively. Additionally, numerical examples are included to clarify the concept of these structures. Researchers can utilize this work to better understand and apply a variety of mathematical ideas.
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.
Book Synopsis Plithogenic Fuzzy Whole Hypersoft Set, Construction of Operators and their Application in Frequency Matrix Multi Attribute Decision Making Technique by : Shazia Rana
Download or read book Plithogenic Fuzzy Whole Hypersoft Set, Construction of Operators and their Application in Frequency Matrix Multi Attribute Decision Making Technique written by Shazia Rana and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, initially a matrix representation of Plithogenic Hypersoft Set (PHSS) is introduced and then with the help of this matrix some local operators for Plithogenic Fuzzy Hypersoft set (PFHSS) are developed. These local operators are used to generalize PFHSS to Plithogenic Fuzzy Whole Hypersoft set (PFWHSS).
Book Synopsis Decision-Making Application Based on Aggregations of Complex Fuzzy Hypersoft Set and Development of Interval-Valued Complex Fuzzy Hypersoft Set by : Atiqe Ur Rahman
Download or read book Decision-Making Application Based on Aggregations of Complex Fuzzy Hypersoft Set and Development of Interval-Valued Complex Fuzzy Hypersoft Set written by Atiqe Ur Rahman and published by Infinite Study. This book was released on 2021-08-01 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hypersoft set, an extension of soft set, deals with disjoint attribute-valued sets corresponding to distinct attributes. In this study, the innovation of complex fuzzy hypersoft set (CFH-set) is conferred, which can tackle with uncertainties and vagueness that lie in the data by taking into account the amplitude and phase terms of the complex numbers at the same time.
Book Synopsis Intuitionistic Fuzzy Sets by : Krassimir T. Atanassov
Download or read book Intuitionistic Fuzzy Sets written by Krassimir T. Atanassov and published by Physica. This book was released on 2013-03-20 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the beginning of 1983, I came across A. Kaufmann's book "Introduction to the theory of fuzzy sets" (Academic Press, New York, 1975). This was my first acquaintance with the fuzzy set theory. Then I tried to introduce a new component (which determines the degree of non-membership) in the definition of these sets and to study the properties of the new objects so defined. I defined ordinary operations as "n", "U", "+" and "." over the new sets, but I had began to look more seriously at them since April 1983, when I defined operators analogous to the modal operators of "necessity" and "possibility". The late George Gargov (7 April 1947 - 9 November 1996) is the "god father" of the sets I introduced - in fact, he has invented the name "intu itionistic fuzzy", motivated by the fact that the law of the excluded middle does not hold for them. Presently, intuitionistic fuzzy sets are an object of intensive research by scholars and scientists from over ten countries. This book is the first attempt for a more comprehensive and complete report on the intuitionistic fuzzy set theory and its more relevant applications in a variety of diverse fields. In this sense, it has also a referential character.
Book Synopsis A Novel MCDM Method Based on Plithogenic Hypersoft Sets under Fuzzy Neutrosophic Environment by : Muhammad Rayees Ahmad
Download or read book A Novel MCDM Method Based on Plithogenic Hypersoft Sets under Fuzzy Neutrosophic Environment written by Muhammad Rayees Ahmad and published by Infinite Study. This book was released on with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we advance the study of plithogenic hypersoft set (PHSS).We present four classifications of PHSS that are based on the number of attributes chosen for application and the nature of alternatives or that of attribute value degree of appurtenance. These four PHSS classifications cover most of the fuzzy and neutrosophic cases that can have neutrosophic applications in symmetry. We also make explanations with an illustrative example for demonstrating these four classifications. We then propose a novel multi-criteria decision making (MCDM) method that is based on PHSS, as an extension of the technique for order preference by similarity to an ideal solution (TOPSIS).
Book Synopsis Introduction to Plithogenic Hypersoft Subgroup by : Sudipta Gayen
Download or read book Introduction to Plithogenic Hypersoft Subgroup written by Sudipta Gayen and published by Infinite Study. This book was released on with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, some essential aspects of plithogenic hypersoft algebraic structures have been analyzed. Here the notions of plithogenic hypersoft subgroups i.e. plithogenic fuzzy hypersoft subgroup, plithogenic intuitionistic fuzzy hypersoft subgroup, plithogenic neutrosophic hypersoft subgroup have been introduced and studied. For doing that we have rede ned the notions of plithogenic crisp hypersoft set, plithogenic fuzzy hypersoft set, plithogenic intuitionistic fuzzy hypersoft set, and plithogenic neutrosophic hypersoft set and also given their graphical illustrations. Furthermore, by introducing function in di erent plithogenic hypersoft environments, some homomorphic properties of plithogenic hypersoft subgroups have been analyzed.
Book Synopsis Introduction to the IndetermSoft Set and IndetermHyperSoft Set by : Florentin Smarandache
Download or read book Introduction to the IndetermSoft Set and IndetermHyperSoft Set written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-10-01 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper one introduces for the first time the IndetermSoft Set, as extension of the classical (determinate) Soft Set, that deals with indeterminate data, and similarly the HyperSoft Set extended to IndetermHyperSoft Set, where āIndetermā stands for āIndeterminateā (uncertain, conflicting, not unique outcome). They are built on an IndetermSoft Algebra that is an algebra dealing with IndetermSoft Operators resulted from our real world. Afterwards, the corresponding Fuzzy / Intuitionistic Fuzzy / Neutrosophic / and other fuzzy-extension IndetermSoft Set & IndetermHyperSoft Set are presented together with their applications.
Book Synopsis Near Plithogenic Hypersoft Sets by : Dhivya E.
Download or read book Near Plithogenic Hypersoft Sets written by Dhivya E. and published by Infinite Study. This book was released on 2024-01-01 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: The article focuses on combining the near set theory with plithogenic hypersoft sets. In addition, near plithogenic hypersoft sets on different environments have been discussed.
Book Synopsis Neutrosophic Semiopen Hypersoft Sets with an Application to MAGDM under the COVID-19 Scenario by : D. Ajay
Download or read book Neutrosophic Semiopen Hypersoft Sets with an Application to MAGDM under the COVID-19 Scenario written by D. Ajay and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hypersoft set is a generalization of soft sets, which takes into account a multiargument function. The main objective of this work is to introduce fuzzy semiopen and closed hypersoft sets and study some of their characterizations and also to present neutrosophic semiopen and closed hypersoft sets, an extension of fuzzy hypersoft sets, along with few basic properties. We propose two algorithms based on neutrosophic hypersoft open sets and topology to obtain optimal decisions in MAGDM. The efficiency of the algorithms proposed is demonstrated by applying them to the current COVID-19 scenario.
