Generalized Plithogenic Whole Hypersoft Set Pfhss Matrix Operators And Applications As Covid 19 Data Structures

Author : Shazia Rana,Muhammad Saeed,Madiha Qayyum,Florentin Smarandache
Publisher : Infinite Study
Page : 24 pages
File Size : 51,5 Mb
Release : 2023-01-01
Category : Mathematics
ISBN : 8210379456XXX

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Generalized plithogenic whole hypersoft set, PFHSS-Matrix, operators and applications as COVID-19 data structures by Shazia Rana,Muhammad Saeed,Madiha Qayyum,Florentin Smarandache Pdf

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.

Author : Shazia Rana ,Madiha Qayyum,Muhammad Saeed,Florentin Smarandache,Bakhtawar Ali Khan
Publisher : Infinite Study
Page : 17 pages
File Size : 54,9 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Plithogenic Fuzzy Whole Hypersoft Set, Construction of Operators and their Application in Frequency Matrix Multi Attribute Decision Making Technique by Shazia Rana ,Madiha Qayyum,Muhammad Saeed,Florentin Smarandache,Bakhtawar Ali Khan Pdf

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).

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 143 pages
File Size : 50,5 Mb
Release : 2017-10-01
Category : Mathematics
ISBN : 8210379456XXX

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Plithogeny, Plithogenic Set, Logic, Probability, and Statistics by Florentin Smarandache Pdf

We introduce for the first time the concept of plithogeny in philosophy and, as a derivative, the concepts of plithogenic set / logic / probability / statistics in mathematics and engineering – and the degrees of contradiction (dissimilarity) between the attributes’ values that contribute to a more accurate construction of plithogenic aggregation operators and to the plithogenic relationship of inclusion (partial ordering).

Author : Harish Garg
Publisher : Springer Nature
Page : 443 pages
File Size : 50,7 Mb
Release : 2021-07-22
Category : Mathematics
ISBN : 9789811619892

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Pythagorean Fuzzy Sets by Harish Garg Pdf

This book presents a collection of recent research on topics related to Pythagorean fuzzy set, dealing with dynamic and complex decision-making problems. It discusses a wide range of theoretical and practical information to the latest research on Pythagorean fuzzy sets, allowing readers to gain an extensive understanding of both fundamentals and applications. It aims at solving various decision-making problems such as medical diagnosis, pattern recognition, construction problems, technology selection, and more, under the Pythagorean fuzzy environment, making it of much value to students, researchers, and professionals associated with the field.

Author : Nivetha Martin ,Florentin Smarandache
Publisher : Infinite Study
Page : 13 pages
File Size : 46,5 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Plithogenic Cognitive Maps in Decision Making by Nivetha Martin ,Florentin Smarandache Pdf

Plithogenic sets introduced by Smarandache (2018) have disclosed new research vistas and this paper introduces the novel concept of plithogenic cognitive maps (PCM) and its applications in decision making. The new approach of defining instantaneous state neutrosophic vector with the confinement of indeterminacy to (0,1] is proposed to quantify the degree of indeterminacy.

Author : Rana Muhammad Zulqarnain,Imran Siddique,Rifaqat Ali,Fahd Jarad,Abdul Samad,T. Abdeljawad
Publisher : Infinite Study
Page : 18 pages
File Size : 48,6 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Hypersoft Matrices with Application to Solve Multiattributive Decision-Making Problems by Rana Muhammad Zulqarnain,Imran Siddique,Rifaqat Ali,Fahd Jarad,Abdul Samad,T. Abdeljawad Pdf

The concept of the neutrosophic hypersoft set (NHSS) is a parameterized family that deals with the subattributes of the parameters and is a proper extension of the neutrosophic soft set to accurately assess the deficiencies, anxiety, and uncertainty in decision-making. Compared with existing research, NHSS can accommodate more uncertainty, which is the most significant technique for describing fuzzy information in the decision-making process.

Author : S. Gomathy,D. Nagarajan,S. Broumi,M. Lathamaheswari
Publisher : Infinite Study
Page : 17 pages
File Size : 50,6 Mb
Release : 2020-12-01
Category : Mathematics
ISBN : 8210379456XXX

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Plithogenic sets and their application in decision making by S. Gomathy,D. Nagarajan,S. Broumi,M. Lathamaheswari Pdf

This paper aims to test whether Plithogenic aggregation operation is more effective than other sets in its accuracy, while decision making. In order to obtain a better accuracy, the Plithogenic aggregation operation such as Fuzzy set [FS], Intuitionistic fuzzy set [IFS] and Neutrosophic set [NS] used tnorm and tconorm. An illustration is examined in this paper to prove the result of better accuracy using plithogenic aggregation operators in decision making.

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 10 pages
File Size : 45,5 Mb
Release : 2010-08-23
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Set - A Generalization of The Intuitionistic Fuzzy Set by Florentin Smarandache Pdf

In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.

Author : Muhammad Saqlain,Sana Moin,Muhammad Naveed Jafar,Muhammad Saeed,Florentin Smarandache
Publisher : Infinite Study
Page : 13 pages
File Size : 52,7 Mb
Release : 2020-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Aggregate Operators of Neutrosophic Hypersoft Set by Muhammad Saqlain,Sana Moin,Muhammad Naveed Jafar,Muhammad Saeed,Florentin Smarandache Pdf

Multi-criteria decision making (MCDM) is concerned about organizing and taking care of choice and planning issues including multi-criteria. When attributes are more than one, and further bifurcated, neutrosophic softset environment cannot be used to tackle such type of issues.

Author : Nivetha Martin,Florentin Smarandache
Publisher : Infinite Study
Page : 14 pages
File Size : 51,8 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Concentric Plithogenic Hypergraph based on Plithogenic Hypersoft sets – A Novel Outlook by Nivetha Martin,Florentin Smarandache Pdf

This research work lays a platform for presenting the concept of concentric plithogenic hypergraph, a graphical representation of plithogenic hypersoft sets. This paper comprises of the definition, classification of concentric plithogenic hypergraphs, extended hypersoft sets, extended concentric plithogenic hypergraphs and it throws light on its application. Concentric Plithogenic hypergraphs will certainly open the new frontiers of hypergraphs and this will undoubtedly bridge hypersoft sets and hypergraphs.

Author : Said Broumi,Assia Bakali,Ayoub Bahnasse
Publisher : Infinite Study
Page : 32 pages
File Size : 49,6 Mb
Release : 2024-07-03
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Sets: An Overview by Said Broumi,Assia Bakali,Ayoub Bahnasse Pdf

In this study, we give some concepts concerning the neutrosophic sets, single valued neutrosophic sets, interval-valued neutrosophic sets, bipolar neutrosophic sets, neutrosophic hesitant fuzzy sets, inter-valued neutrosophic hesitant fuzzy sets, refined neutrosophic sets, bipolar neutrosophic refined sets, multi-valued neutrosophic sets, simplified neutrosophic linguistic sets, neutrosophic over/off/under sets, rough neutrosophic sets, rough bipolar neutrosophic sets, rough neutrosophic hyper-complex set, and their basic operations.

Author : W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache
Publisher : Infinite Study
Page : 296 pages
File Size : 44,6 Mb
Release : 2024-07-03
Category : Mathematics
ISBN : 8210379456XXX

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Plithogenic Graphs by W. B. Vasantha Kandasamy,Ilanthenral K,Florentin Smarandache Pdf

The plithogenic set is a generalization of crisp, fuzzy, intuitionistic fuzzy, and Neutrosophic sets, it is a set whose elements are characterized by many attributes' values. This book gives some possible applications of plithogenic sets defined by Florentin Smarandache (2018). The authors have defined a new class of special type of graphs which can be applied for plithogenic models.

Author : Florentin Smarandache
Publisher : Unknown
Page : 110 pages
File Size : 48,5 Mb
Release : 1998
Category : Mathematics
ISBN : STANFORD:36105112484626

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Neutrosophy by Florentin Smarandache Pdf

Author : Florentin Smarandache,Muhammad Saeed,Muhammad Saqlain,Mohamed Abdel-Baset
Publisher : Infinite Study
Page : 246 pages
File Size : 50,7 Mb
Release : 2021-02-01
Category : Mathematics
ISBN : 8210379456XXX

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Theory and Application of Hypersoft Set by Florentin Smarandache,Muhammad Saeed,Muhammad Saqlain,Mohamed Abdel-Baset Pdf

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.

Author : Razia Azen,Cindy M. Walker
Publisher : Taylor & Francis
Page : 327 pages
File Size : 53,5 Mb
Release : 2021-05-26
Category : Psychology
ISBN : 9781000383898

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Categorical Data Analysis for the Behavioral and Social Sciences by Razia Azen,Cindy M. Walker Pdf

Featuring a practical approach with numerous examples, the second edition of Categorical Data Analysis for the Behavioral and Social Sciences focuses on helping the reader develop a conceptual understanding of categorical methods, making it a much more accessible text than others on the market. The authors cover common categorical analysis methods and emphasize specific research questions that can be addressed by each analytic procedure, including how to obtain results using SPSS, SAS, and R, so that readers are able to address the research questions they wish to answer. Each chapter begins with a "Look Ahead" section to highlight key content. This is followed by an in-depth focus and explanation of the relationship between the initial research question, the use of software to perform the analyses, and how to interpret the output substantively. Included at the end of each chapter are a range of software examples and questions to test knowledge. New to the second edition: The addition of R syntax for all analyses and an update of SPSS and SAS syntax. The addition of a new chapter on GLMMs. Clarification of concepts and ideas that graduate students found confusing, including revised problems at the end of the chapters. Written for those without an extensive mathematical background, this book is ideal for a graduate course in categorical data analysis taught in departments of psychology, educational psychology, human development and family studies, sociology, public health, and business. Researchers in these disciplines interested in applying these procedures will also appreciate this book’s accessible approach.