Introduction To Plithogenic Logic As Generalization Of Multivariate Logic
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Introduction to Plithogenic Logic as generalization of Multi-Variate Logic
Author: Florentin Smarandache
language: en
Publisher: Infinite Study
Release Date: 2021-08-27
A Plithogenic Logical proposition P is a proposition that is characterized by many degrees of truth-values with respect to many corresponding attribute-values (or random variables) that characterize P. Each degree of truth-value may be classical, fuzzy, intuitionistic fuzzy, neutrosophic, or other fuzzy extension type logic. At the end, a cumulative truth of P is computed.
Introduction to Plithogenic Logic as generalization of MultiVariate Logic
Author: Florentin Smarandache
language: en
Publisher: Infinite Study
Release Date: 2021-09-20
A Plithogenic Logical proposition P is a proposition that is characterized by many degrees of truth-values with respect to many corresponding attribute-values (or random variables) that characterize P. Each degree of truth-value may be classical, fuzzy, intuitionistic fuzzy, neutrosophic, or other fuzzy extension type logic. At the end, a cumulative truth of P is computed.
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.