The entropy change of fuzzy numbers with arithmetic operations

Wen June Wang; Chih Hui Chiu

doi:10.1016/S0165-0114(97)00406-5

The entropy change of fuzzy numbers with arithmetic operations

Wen June Wang, Chih Hui Chiu

Department of Electrical Engineering

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

10 Scopus citations

Abstract

For the same type of two fuzzy sets with different supports, this paper investigates the entropy relationship between both of them. For the fuzzy numbers with triangular membership function, the entropy change between the resultant fuzzy numbers through some arithmetic operations and the original fuzzy numbers is also studied.

Original language	English
Pages (from-to)	357-366
Number of pages	10
Journal	Fuzzy Sets and Systems
Volume	111
Issue number	3
DOIs	https://doi.org/10.1016/S0165-0114(97)00406-5
State	Published - 1 May 2000

Keywords

Arithmetic operations
Entropy
Fuzzy set
Measure of fuzziness

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10.1016/S0165-0114(97)00406-5

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abstract = "For the same type of two fuzzy sets with different supports, this paper investigates the entropy relationship between both of them. For the fuzzy numbers with triangular membership function, the entropy change between the resultant fuzzy numbers through some arithmetic operations and the original fuzzy numbers is also studied.",

keywords = "Arithmetic operations, Entropy, Fuzzy set, Measure of fuzziness",

author = "Wang, {Wen June} and Chiu, {Chih Hui}",

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AU - Chiu, Chih Hui

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Y1 - 2000/5/1

N2 - For the same type of two fuzzy sets with different supports, this paper investigates the entropy relationship between both of them. For the fuzzy numbers with triangular membership function, the entropy change between the resultant fuzzy numbers through some arithmetic operations and the original fuzzy numbers is also studied.

AB - For the same type of two fuzzy sets with different supports, this paper investigates the entropy relationship between both of them. For the fuzzy numbers with triangular membership function, the entropy change between the resultant fuzzy numbers through some arithmetic operations and the original fuzzy numbers is also studied.

KW - Arithmetic operations

KW - Entropy

KW - Fuzzy set

KW - Measure of fuzziness

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The entropy change of fuzzy numbers with arithmetic operations

Abstract

Keywords

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