An Overview of Plithogenic Set and Symbolic Plithogenic Algebraic Structures [PDF]
, 2023 This paper is devoted to Plithogeny, Plithogenic Set, and its extensions. These concepts are branches of uncertainty and indeterminacy instruments of practical and theoretical interest.
Smarandache, Florentin
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Introduction to the Symbolic Plithogenic Algebraic Structures (revisited) [PDF]
, 2023 In this paper, we recall and study the new type of algebraic structures called Symbolic Plithogenic Algebraic Structures.
Smarandache, Florentin
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Solution of System of Symbolic 2-Plithogenic Linear Equations using Cramer's Rule [PDF]
, 2023 In this article, the concept of system of symbolic 2-plithogenic linear equations and its solutions are introduced and studied. The Cramer's rule was applied to solve the system of symbolic 2-plithogenic linear equations.
Prabakaran, P., Smarandache, Florentin
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An Introduction to Symbolic 2-Plithogenic Vector Spaces Generated from The Fusion of Symbolic Plithogenic Sets and Vector Spaces [PDF]
, 2023 The fusion of symbolic plithogenic sets with algebraic structures generates novel algebraic neutrosophic structures that generalize the classical known structures.
Nader Mahmoud Taffach +1 more
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On Some Algorithms for Solving Different Types of Symbolic 2-Plithogenic Algebraic Equations [PDF]
, 2023 The main goal of this paper is to study three different types of algebraic symbolic 2-plithogenic equations. The symbolic 2-plithogenic linear Diophantine equations, symbolic 2-plithogenic quadratic equations, and linear system of symbolic 2-plithgenic ...
Khaldi, Ahmad +8 more
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On The Symbolic 2-Plithogenic Number Theory and Integers [PDF]
, 2023 The objective of this paper is to study for the first time the foundational concepts of number theory in 2-plithogenic rings of integers, where concepts such as symbolic 2-plithogenic congruencies, division, semi primes, and greatest common divisors.
Hamiyet Merkepci, Ammar Rawashdeh
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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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On The Symbolic 3-Plithogenic Rings and Their Algebraic Properties. Neutrosophic Sets and Systems [PDF]
, 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,
Hajjari, Arwa +5 more
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On Symbolic Plithogenic Algebraic Structures and Hyper Structures
, 2023 The objective of this paper is to study symbolic Plithogenic algebraic structures and hyper structures. In particular, we study symbolic Plithogenic group, symbolic Plithogenic ring, symbolic Plithogenic hypergroup and symbolic Plithogenic canonical ...
M.A. Ibrahim, A.A.A. Agboola
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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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