An Introduction to Symbolic 2-Plithogenic Vector Spaces Generated from The Fusion of Symbolic Plithogenic Sets and Vector Spaces [PDF]
Neutrosophic Sets and Systems, 2023 The fusion of symbolic plithogenic sets with algebraic structures generates novel algebraic neutrosophic structures that generalize the classical known structures.
Nader Mahmoud Taffach
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P and R Order of Plithogenic Neutrosophic Cubic sets [PDF]
Neutrosophic Sets and Systems, 2021 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).
S.P. Priyadharshini, F. Nirmala Irudayam
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Fuzzy MultiDirected Sets, Neutrosophic MultiDirected Sets, Plithogenic MultiDirected Sets, Soft MultiDirected Sets, and Hypersoft MultiDirected Sets [PDF]
HyperSoft Set Methods in EngineeringA fuzzy set generalizes classical sets by assigning each element a membership value in the interval [0, 1], thereby capturing partial or uncertain membership. A Neutrosophic Set extends fuzzy sets by introducing three independent membership degrees: truth, indeterminacy, and falsity, each ranging within [0, 1].
Tsunenori Fujita
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Introduction to plithogenic sociogram with preference representations by plithogenic number [PDF]
Journal of Fuzzy Extension and Applications, 2022 The theory of Plithogeny is gaining momentum in recent times as it generalizes the concepts of fuzzy, intuitionistic, neutrosophy and other extended representations of fuzzy sets.
Nivetha Martin +2 more
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Plithogenic set for multi-variable data analysis [PDF]
International Journal of Neutrosophic Science, 2020 The m-polar and multi-dimensional data sets given a platform to deal with multi--valued attributes. In this case, a problem addressed that sometimes the attributes may contain many types of opposites, non--opposites and neutrals values as for example Rainbow. One of the best examples is sports data sets where each time the value of an attribute changes
Prem Kumar Singh
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State of Art of Plithogeny Multi Criteria Decision Making Methods [PDF]
Neutrosophic Sets and Systems, 2023 Plithogenic sets coined by Smarandache in the year 2018 has unveiled new research opportunities in the field of Multi criteria decision making (MCDM).
S. Sudha +2 more
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Neutrosophic Sets and Systems, 2020 In 1995, Smarandache initiated the theory of neutrosophic set as new mathematical tool for handling problems involving imprecise, indeterminacy, and inconsistent data.
Shawkat Alkhazaleh
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Entropy Measures for Plithogenic Sets and Applications in Multi-Attribute Decision Making [PDF]
Mathematics, 2020 Plithogenic set is an extension of the crisp set, fuzzy set, intuitionistic fuzzy set, and neutrosophic sets, whose elements are characterized by one or more attributes, and each attribute can assume many values. Each attribute has a corresponding degree
Shio Gai Quek +6 more
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Mathematical modeling and AI based decision making for COVID-19 suspects backed by novel distance and similarity measures on plithogenic hypersoft sets. [PDF]
Artif Intell Med, 2022 Ahmad MR, Afzal U.
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A Dynamic Survey of Fuzzy, Intuitionistic Fuzzy, Neutrosophic, Plithogenic, and Extensional Sets [PDF]
Real-world phenomena frequently involve vagueness, partial truth, and incomplete information. To capture such uncertainty in a mathematically rigorous manner, numerous generalized set-theoretic frameworks have been introduced, including Fuzzy Sets [1 ...
Takaaki Fujita, Florentin Smarandache
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