Work

Note on fuzzifying probability density function and its properties

Year: 2023

Type: article

Abstract: This paper applies the concepts of fuzzifying functions to the probability density function of a random variable and introduce a fuzzifying probability to better understand the probability arising from the uncertainties of the probability density function. Using the fuzzifying probability, we derive the fuzzifying expected value and the fuzzifying variance of a random variable with the fuzzifying probability density function. Additionally, we provide examples of a fuzzifying probability density function to validate that the proposed fuzzy concepts generalize crisp expected value and variance in probability theory.

Source: AIMS Mathematics

DOI: 10.3934/math.2023790

Authors: Dojin Kim, Lee-Chae Jang, Seongook Heo, Patcharee Wongsason

Institutions: Dongguk University, Konkuk University, Ratchathani University, Ubon Ratchathani University

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W4367155206