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MAXIMUM ENTROPY PRINCIPLE FOR FUZZY VARIABLES

XIANG LI

Uncertainty Theory Laboratory, Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

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BAODING LIU

Uncertainty Theory Laboratory, Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

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https://doi.org/10.1142/S0218488507004595Cited by:34 (Source: Crossref)

Abstract

The concept of fuzzy entropy is used to provide a quantitative measure of the uncertainty associated with every fuzzy variable. This paper proposes the maximum entropy principle for fuzzy variables, that is, out of all the membership functions satisfying given constraints, choose the one that has maximum entropy. The problem is what is the specific formulation of the maximum entropy membership function. The purpose of this paper is to solve this problem by Euler–Lagrange equation.

Keywords:

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