Extension Of Soft Set To Hypersoft Set And Then To Plithogenic Hypersoft Set
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Extension Of Soft Set To Hypersoft Set And Then To Plithogenic Hypersoft Set
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Extension Of Soft Set To Hypersoft Set And Then To Plithogenic Hypersoft Set written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.
Introduction To Combined Plithogenic Hypersoft Sets
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Author : Nivetha Martin
language : en
Publisher: Infinite Study
Release Date : 2020-07-08
Introduction To Combined Plithogenic Hypersoft Sets written by Nivetha Martin and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-08 with Mathematics categories.
Plithogenic Hypersoft sets was introduced by Florentin Smarandache, who has extended crisp sets, fuzzy sets, intuitionistic sets, neutrosophic sets to plithogenic sets. The plithogenic sets considers the degree of appurtenance of the elements with respect to the attribute system. Smarandache has presented the classification of the plithogenic hypersoft sets and the applications of plithogenic fuzzy whole hypersoft sets in multi attribute decision making. Inspired by these research works, the concept of combined plithogenic hypersoft sets is introduced in this article. The representations of the degree of appurtenance of the elements determines the type of plithogenic hypersoft set, if it takes a combination of values then the new archetype of plithogenic hypersoft sets gets emerged into decision making scenario. This research work is put forth to project the realistic perception of the experts in the construction process of optimal conclusions.
Near Plithogenic Hypersoft Sets
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Author : Dhivya E.
language : en
Publisher: Infinite Study
Release Date : 2024-01-01
Near Plithogenic Hypersoft Sets written by Dhivya E. and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-01 with Mathematics categories.
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.
A Novel Mcdm Method Based On Plithogenic Hypersoft Sets Under Fuzzy Neutrosophic Environment
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Author : Muhammad Rayees Ahmad
language : en
Publisher: Infinite Study
Release Date :
A Novel Mcdm Method Based On Plithogenic Hypersoft Sets Under Fuzzy Neutrosophic Environment written by Muhammad Rayees Ahmad and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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.
Development Of Hybrids Of Hypersoft Set With Complex Fuzzy Set Complex Intuitionistic Fuzzy Set And Complex Neutrosophic Set
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Author : Atiqe Ur Rahman
language : en
Publisher: Infinite Study
Release Date : 2020-11-05
Development Of Hybrids Of Hypersoft Set With Complex Fuzzy Set Complex Intuitionistic Fuzzy Set And Complex Neutrosophic Set written by Atiqe Ur Rahman and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-05 with Mathematics categories.
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.
Theory And Application Of Hypersoft Set
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2021-02-01
Theory And Application Of Hypersoft Set written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-01 with Mathematics categories.
Florentin Smarandache generalize the soft set to the hypersoft set by transforming the function 𝐹 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 “Theory and Application of Hypersoft Set” 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.
A Novel Mcdm Method Based On Plithogenic Hypersoft Sets Under Fuzzy Neutrosophic Environment
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Author : Muhammad Rayees Ahmad
language : en
Publisher: Infinite Study
Release Date :
A Novel Mcdm Method Based On Plithogenic Hypersoft Sets Under Fuzzy Neutrosophic Environment written by Muhammad Rayees Ahmad and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
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).
Basic Operations On Hypersoft Sets And Hypersoft Point
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Author : Mujahid Abbas
language : en
Publisher: Infinite Study
Release Date : 2020-05-01
Basic Operations On Hypersoft Sets And Hypersoft Point written by Mujahid Abbas and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-01 with Mathematics categories.
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.
Neutrosophic Sets And Systems Vol 43 2021
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Sets And Systems Vol 43 2021 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
“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. In this issue: On Neutrosophic Crisp Sets and Neutrosophic Crisp Mathematical Morphology, New Results on Pythagorean Neutrosophic Open Sets in Pythagorean Neutrosophic Topological Spaces, Comparative Mathematical Model for Predicting of Financial Loans Default using Altman Z-Score and Neutrosophic AHP Methods.
Neutrosophic Sets And Systems Vol 35 2020
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Sets And Systems Vol 35 2020 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
“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. Some articles in this issue: Neutrosophic Soft Fixed Points, Selection of Alternative under the Framework of Single-Valued Neutrosophic Sets, Application of Single Valued Trapezoidal Neutrosophic Numbers in Transportation Problem.