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Near Plithogenic Hypersoft Sets
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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 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 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 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 ingrediants for topological structures on the collection of hypersoft sets.
Book Synopsis Introduction to Combined Plithogenic Hypersoft Sets by : Nivetha Martin
Download or read book Introduction to Combined Plithogenic Hypersoft Sets written by Nivetha Martin and published by Infinite Study. This book was released on 2020-07-08 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 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.
Book Synopsis Concentric Plithogenic Hypergraph based on Plithogenic Hypersoft sets – A Novel Outlook by : Nivetha Martin
Download or read book Concentric Plithogenic Hypergraph based on Plithogenic Hypersoft sets – A Novel Outlook written by Nivetha Martin and published by Infinite Study. This book was released on 2020-06-01 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plithogenic Hypersoft sets (PHS) introduced by Smarandache are the extensions of soft sets and hypersoft sets and it was further protracted to plithogenic fuzzy whole Hypersoft set to make it more applicable to multi attribute decision making environment.
Book Synopsis On Some Properties of Plithogenic Neutrosophic Hypersoft Almost Topological Group by : Bhimraj Basumatary
Download or read book On Some Properties of Plithogenic Neutrosophic Hypersoft Almost Topological Group written by Bhimraj Basumatary and published by Infinite Study. This book was released on 2021-06-02 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this study is to introduce the notion of plithogenic neutrosophic hypersoft almost topological group. We have defined some new concepts and investigated properties of regularly open set and regularly closed set and then we observed the definitions of plithogenic neutrosophic hypersoft closed mapping, open mapping and finally we have defined the definition of plithogenic neutrosophic hypersoft almost continuous mapping. By observing the definition of plithogenic neutrosophic hypersoft almost continuous mapping we have studied neutrosophic hypersoft topological group and plithogenic neutrosophic hypersoft almost topological group and some of their properties.
Book Synopsis Applications of Extended Plithogenic Sets in Plithogenic Sociogram by : S. Sudha
Download or read book Applications of Extended Plithogenic Sets in Plithogenic Sociogram written by S. Sudha and published by Infinite Study. This book was released on 2023-01-01 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of plithogeny developed by Smarandache is described as a more generalized form of representing sets of different nature such as crisp, fuzzy, intuitionistic and neutrosophic. Plithogenic set comprises degree of appurtenance and contradiction degree with respect only to the dominant attribute. This paper introduces extended plithogenic sets comprising degrees of appurtenance and contradiction with respect to both dominant and recessive attributes. The extension of the 5-tuple Plithogenic sets to a 7- tuple plithogenic sets helps in developing a more comprehensive kind of Plithogenic sociogram. The newly developed plithogenic sets and its implications in Plithogenic sociogram is validated by the decision making problem on food processing industries. The obtained results using extended plithogenic sets are more promising in comparison to the conventional plithogenic sets. The proposed kind of plithogenic sets will benefit the decision makers to make optimal decisions based on both optimistic and pessimistic approaches.
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 Convex and Concave Hypersoft Sets with Some Properties by : Atiqe Ur Rahman
Download or read book Convex and Concave Hypersoft Sets with Some Properties written by Atiqe Ur Rahman and published by Infinite Study. This book was released on 2020-12-01 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convexity plays an imperative role in optimization, pattern classiffication and recognition, image processing and many other relating topics in different fields of mathematical sciences like operation research, numerical analysis etc. The concept of soft sets was first formulated by Molodtsov as a completely new mathematical tool for solving problems dealing with uncertainties. Smarandache conceptualized hypersoft set as a generalization of soft set. Deli introduced the concept of convexity cum concavity on soft sets to cover above topics under uncertain scenario. In this study, a theoretic and analytical approach is employed to develop a conceptual framework of convexity concavity on hypersoft set which is generalized and more effective concept to deal with optimization relating problems.
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 Generalized Aggregate Operators on Neutrosophic Hypersoft Set by : Rana Muhammad Zulqarnain
Download or read book Generalized Aggregate Operators on Neutrosophic Hypersoft Set written by Rana Muhammad Zulqarnain and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-criteria decision making (MCDM) is concerned about coordinating as well as looking after selection as well as planning problems which included multi-criteria. The neutrosophic soft set cannot handle the environment which involved more than one attribute. To overcome those hurdles neutrosophic hypersoft set (NHSS) is defined. In this paper, we proposed the generalized aggregate operators on NHSS such as extended union, extended intersection, OR-operation, ANDoperation, etc. with their properties. Finally, the necessity and possibility operations on NHSS with suitable examples and properties are presented in the following research.
Book Synopsis Plithogenic Soft Set by : Shawkat Alkhazaleh
Download or read book Plithogenic Soft Set written by Shawkat Alkhazaleh and published by Infinite Study. This book was released on 2020-03-03 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1995, Smarandache initiated the theory of neutrosophic set as new mathematical tool for handling problems involving imprecise, indeterminacy, and inconsistent data. Molodtsov initiated the theory of soft set as a new mathematical tool for dealing with uncertainties, which traditional mathematical tools cannot handle. He has showed several applications of this theory for solving many practical problems in economics, engineering, social science, medical science, etc.
Book Synopsis Generalized plithogenic whole hypersoft set, PFHSS-Matrix, operators and applications as COVID-19 data structures by : Shazia Rana
Download or read book Generalized plithogenic whole hypersoft set, PFHSS-Matrix, operators and applications as COVID-19 data structures written by Shazia Rana and published by Infinite Study. This book was released on 2023-01-01 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: This article is a preliminary draft for initiating and commencing a new pioneer dimension of expression. To deal with higher-dimensional data or information flowing in this modern era of information technology and artificial intelligence, some innovative super algebraic structures are essential to be formulated. In this paper, we have introduced such matrices that have multiple layers and clusters of layers to portray multi-dimensional data or massively dispersed information of the plithogenic universe made up of numerous subjects their attributes, and sub-attributes. For grasping that field of parallel information, events, and realities flowing from the micro to the macro level of universes, we have constructed hypersoft and hyper-super-soft matrices in a Plithogenic Fuzzy environment. These Matrices classify the non-physical attributes by accumulating the physical subjects and further sort the physical subjects by accumulating their non-physical attributes. We presented themasPlithogenicAttributiveSubjectivelyWholeHyper-Super-Soft-Matrix(PASWHSS-Matrix)andPlithogenic Subjective Attributively Whole-Hyper-Super-Soft-Matrix (PSAWHSS-Matrix). Several types of views and level-layers of these matrices are described. In addition, some local aggregation operators for Plithogenic Fuzzy Hypersoft Set (PPFHS-Set) are developed. Finally, few applications of these matrices and operators are used as numerical examples of COVID-19 data structures.
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 New Types of Soft Sets “HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set”: An Improved Version by : Florentin Smarandache
Download or read book New Types of Soft Sets “HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set”: An Improved Version written by Florentin Smarandache and published by Infinite Study. This book was released on 2023-01-01 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an improved paper of [10], where we recall the definitions together with practical applications of the Soft Set and its extensions to HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set.
