Galoitica: Journal of Mathematical Structures and Applications
Journal DOI
2834-5568ISSN (Online)
Volume 7 , Issue 2 , PP: 18-30, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Mohamed Bisher Zeina 1 * , Nizar Altounji 2 , Mohammad Abobala 3 , Yasin Karmouta 4
Doi: https://doi.org/10.54216/GJMSA.070202
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.
Plithogenic , Probability Density Function , Cumulative Distribution Function , Random Numbers Generation , Exponential Distribution , Uniform Distribution.
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