Extension of HyperGraph to n-SuperHyperGraph and to Plithogenic n-SuperHyperGraph, and Extension of HyperAlgebra to n-ary (Classical-/Neutro-/Anti-)HyperAlgebra [PDF]
Neutrosophic Sets and Systems, 2020 We recall and improve our 2019 concepts of n-Power Set of a Set, n-SuperHyperGraph, Plithogenic n-SuperHyperGraph, and n-ary HyperAlgebra, n-ary NeutroHyperAlgebra, n-ary AntiHyperAlgebra respectively, and we present several properties and examples ...
Florentin Smarandache
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On Symbolic n-Plithogenic Random Variables Using a Generalized Isomorphism [PDF]
Neutrosophic Sets and Systems, 2023 In this work, we present a generalized isomorphism between field of symbolic n plithogenic set and 𝑅 𝑛+1 , use it to study the most general form of symbolic plithogenic random variables and study its probabilistic properties including expectation ...
Mohamed Bisher Zeina +3 more
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Introduction to the n-SuperHyperGraph - the most general form of graph today [PDF]
Neutrosophic Sets and Systems, 2022 We recall and improve our 2019 and 2020 concepts of n-SuperHyperGraph, Plithogenic nSuperHyperGraph, n-Power Set of a Set, and we present some application from the real world. The nSuperHyperGraph is the most general form of graph today and it is able to
Florentin Smarandache
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On The Symbolic 3-Plithogenic Rings and Their Algebraic Properties [PDF]
Neutrosophic Sets and Systems, 2023 The aim of this paper is to define and study the concept of symbolic 3-plithogenic rings as a novel extension of classical rings and symbolic 2-plithogenic rings respectively. Also, many related substructures will be presented such as idempotent elements,
Othman Al-Basheer +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
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A short history of fuzzy, intuitionistic fuzzy, neutrosophic and plithogenic sets
International Journal of Neutrosophic Science, 2022 Recently, research on uncertainty modeling is progressing rapidly and many essential and breakthrough studies have already been done. There are various ways such as fuzzy, intuitionistic and neutrosophic sets to handle these uncertainties. Although these concepts can handle incomplete information in various real-world issues, they cannot address all ...
Rezaei A. +4 more
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Multi-trait decision support in industry using plithogenic Rhotrix [PDF]
International Journal of Research in Industrial EngineeringThis study proposes a novel extension of the traditional Rhotrix structure by incorporating Plithogenic set theory to support complex decision-making scenarios.
Pratheeban Sathya, Nivetha Martin
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A new decision-making model based on plithogenic set for supplier selection [PDF]
, 2021 Supplier selection is a common and relevant phase to initialize the supply chain processes and ensure its sustainability. The choice of supplier is a multicriteria decision making (MCDM) to obtain the optimal decision based on a group of criteria.
Mohamed, Rehab +3 more
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A Novel Plithogenic MCDM Framework for Evaluating the Performance of IoT Based Supply Chain [PDF]
Neutrosophic Sets and Systems, 2020 The Internet of Things (IoT) is used in the Supply chain management (SCM) systems to respond to the globalization of complex and dynamic markets and competitiveness in various supply chain scopes.
Mohamed Grida +2 more
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Plithogenic Sets-Based Academic Quality Appraisal Under Uncertainty in Vocational College Art Courses [PDF]
Neutrosophic Sets and SystemsThis paper presents a rigorous application of plithogenic sets, as introduced by Smarandache (2018), to evaluate teaching quality in vocational college art courses.
Jia Li
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