Introduction To Symbolic 2 Plithogenic Probability Theory
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Introduction to Symbolic 2-Plithogenic Probability Theory
Author: Mohamed Bisher Zeina
language: en
Publisher: Infinite Study
Release Date: 2023-01-01
In this paper we present for the first time the concept of symbolic plithogenic random variables and study its properties including expected value and variance. We build the plithogenic formal form of two important distributions that are exponential and uniform distributions. We find its probability density function and cumulative distribution function in its plithogenic form. We also derived its expected values and variance and the formulas of its random numbers generating. We finally present the fundamental form of plithogenic probability density and cumulative distribution functions. All the theorems were proved depending on algebraic approach using isomorphisms. This paper can be considered the base of symbolic plithogenic probability theory.
Introduction to Symbolic 2-Plithogenic Probability Theory
Author: Mohamed Bisher Zeina
language: en
Publisher: Infinite Study
Release Date: 2023-01-01
In this paper we present for the first time the concept of symbolic plithogenic random variables and study its properties including expected value and variance. We build the plithogenic formal form of two important distributions that are exponential and uniform distributions. We find its probability density function and cumulative distribution function in its plithogenic form. We also derived its expected values and variance and the formulas of its random numbers generating. We finally present the fundamental form of plithogenic probability density and cumulative distribution functions. All the theorems were proved depending on algebraic approach using isomorphisms. This paper can be considered the base of symbolic plithogenic probability theory.
Neutrosophic Sets and Systems, vol. 59/2023 {Special Issue on Symbolic Plithogenic Algebraic Structures}
Author: Florentin Smarandache
language: en
Publisher: Infinite Study
Release Date: 2023-09-01
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation