On entropy of fuzzy sets

被引：28

作者：

Hwang, Chao-Ming ^{[1
]}

Yang, Miin-Shen ^{[2
]}

机构：

[1] Chinese Culture Univ, Dept Appl Math, Taipei, Taiwan

[2] Chung Yuan Christian Univ, Dept Appl Math, Chungli 32023, Taiwan

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2008年 / 16卷 / 04期

关键词：

fuzzy sets; uncertainty; fuzziness; entropy;

D O I：

10.1142/S021848850800539X

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper we deal with the entropy of fuzzy sets. We first review several defined entropies of fuzzy sets and then propose a new one. Some comparisons are made with some existing entropies to show the effectiveness of the proposed one.

引用

页码：519 / 527

页数：9

共 19 条

[1]

[Anonymous], 1991, FUZZY SET THEORY ITS

[2] DEFINITION OF NONPROBABILISTIC ENTROPY IN SETTING OF FUZZY SETS THEORY [J].

DELUCA, A ;

TERMINI, S .

INFORMATION AND CONTROL, 1972, 20 (04) :301-&

[3] ON MEASURES OF FUZZINESS AND THEIR REPRESENTATIONS [J].

EBANKS, BR .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 94 (01) :24-37

[4] Distance measure and induced fuzzy entropy [J].

Fan, JL ;

Xie, WX .

FUZZY SETS AND SYSTEMS, 1999, 104 (02) :305-314

[5] Some new fuzzy entropy formulas [J].

Fan, JL ;

Ma, YL .

FUZZY SETS AND SYSTEMS, 2002, 128 (02) :277-284

[6] ON MEASURES OF FUZZINESS AND FUZZY COMPLEMENTS [J].

HIGASHI, M ;

KLIR, GJ .

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1982, 8 (03) :169-180

[7] FUZZY ENTROPY AND CONDITIONING [J].

KOSKO, B .

INFORMATION SCIENCES, 1986, 40 (02) :165-174

[8]

LI P, 2007, IEEE T FUZZ IN PRESS

[9] Maximum entropy principle for fuzzy variables [J].

Li, Xiang ;

Liu, Baoding .

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2007, 15 (02) :43-52

[10]

Liu B., 2007, J Uncertain Syst, V1, P4

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