AN ALGEBRAIC APPROACH FOR REFINED NEUTROSOPHIC RANDOM VARIABLES

Year 2024, Volume: 25 Issue: 3, 331 - 340, 30.09.2024

Ahmed Hatip

https://doi.org/10.18038/estubtda.1350437

Abstract

In this article, we are going to extend the definition of literal neutrosophic random variables to literal refined neutrosophic random variables and we will study its new properties. We derive and present various concepts including refined neutrosophic probability distribution function in the continuous case, refined neutrosophic cumulative distribution function of continuous refined neutrosophic random variables, refined neutrosophic expected value, refined neutrosophic variance, refined neutrosophic standard deviation, refined neutrosophic mean deviation, refined neutrosophic rth quartiles, refined neutrosophic moments generating function, and refined neutrosophic characteristic function. Additionally, the paper includes many solved examples and applications. This paper opens the road to generalizing many concepts in neutrosophic probability theory specially neutrosophic reliability theory, neutrosophic stochastic processes, and neutrosophic queuing theory.

Keywords

Refined neutrosophic expected value, Refined neutrosophic variance, Refined standard neutrosophic deviation, Refined neutrosophic probability density function, Refined neutrosophic cumulative distribution

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