Maximum entropy principle for fuzzy variables

Xiang Li; Baoding Liu

doi:10.1142/s0218488507004595

Maximum entropy principle for fuzzy variables

Xiang Li^*
, Baoding Liu

^*Corresponding author for this work

Tsinghua University

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

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.

Original language	English
Pages (from-to)	43-52
Number of pages	10
Journal	International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Volume	15
Issue number	SUPPL. 2
DOIs	https://doi.org/10.1142/s0218488507004595
Publication status	Published - Apr 2007
Externally published	Yes

Keywords

Entropy
Fuzzy variable
Maximum entropy principle

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10.1142/s0218488507004595

Cite this

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title = "Maximum entropy principle for fuzzy variables",

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.",

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AU - Li, Xiang

AU - Liu, Baoding

PY - 2007/4

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AB - 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.

KW - Entropy

KW - Fuzzy variable

KW - Maximum entropy principle

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M3 - Article

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SN - 0218-4885

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JF - International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems

IS - SUPPL. 2

ER -

Maximum entropy principle for fuzzy variables

Abstract

Keywords

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