Plithogeny, Plithogenic Set, Logic, Probability, and Statistics [PDF]
CoRR, 2018 In this book we introduce the plithogenic set (as generalization of crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets), plithogenic logic (as generalization of classical, fuzzy, intuitionistic fuzzy, and neutrosophic logics), plithogenic probability (as generalization of classical, imprecise, and neutrosophic probabilities), and plithogenic ...
Florentin Smarandache (555884) +1 more
openaire +3 more sources
Introducing Plithogenic Stochastic Processes with an Application to Poisson Process [PDF]
Neutrosophic Sets and SystemsIn this paper, we study and define the mathematical form of plithogenic stochastic processes PSP based on set of three classic stochastic processes. This new definition is a generalization of neutrosophic stochastic process.
Abdulrahman Astambli +2 more
doaj +3 more sources
New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic & Plithogenic Optimizations [PDF]
, 2022 This Special Issue puts forward for discussion state-of-the-art papers on new topics related to neutrosophic theories, such as neutrosophic algebraic structures, neutrosophic triplet algebraic structures, neutrosophic extended triplet algebraic ...
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Applications of Extended Plithogenic Sets in Plithogenic Sociogram [PDF]
, 2023 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.
Smarandache, Florentin
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Introduction to plithogenic sociogram with preference representations by plithogenic number [PDF]
, 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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, 2020 In this article, using the concepts of cubic set and plithogenic set, the ideas of plithogenic fuzzy cubic set, plithogenic intuitionistic fuzzy cubic set, plithogenic neutrosophic cubic set are introduced and its corresponding internal and external ...
Priyadharshini, S.P. +2 more
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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
doaj
Symbolic Neutrosophic and Plithogenic Marshall-Olkin Type I Class of Distributions [PDF]
Neutrosophic Sets and Systems, 2023 In this paper we present the symbolic neutrosophic and plithogenic Marshall-Olkin type I class of distributions. We derive the formal form of the cumulative distribution function and probability density function of neutrosophic and plithogenic Marshall ...
Danyah Dham +2 more
doaj
Neutrosophic Statistics is an extension of Interval Statistics, while Plithogenic Statistics is the most general form of statistics (second version) [PDF]
, 2022 In this paper, we prove that Neutrosophic Statistics is more general than Interval Statistics, since it may deal with all types of indeterminacies (with respect to the data, inferential procedures, probability distributions, graphical representations ...
Smarandache, Florentin
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An Introduction to Symbolic 2-Plithogenic Modules Over Symbolic 2-Plithogenic Rings [PDF]
, 2023 The symbolic n-plithogenic sets and algebraic structures are a new branch of pure algebra released as new generalizations of classical algebraic structures. The main goal of this paper is to define for the first time the concept of symbolic 2-plithogenic
Othman, Khadija Ben +3 more
core +2 more sources