Entropy variation in extension principle

Chih Hui Chiu; Wen June Wang

Entropy variation in extension principle

電機工程學系

研究成果: 雜誌貢獻 › 會議論文 › 同行評審

摘要

Two types of fuzzy sets are considered in this paper. One is 'Hill shaped' and the other type is 'Bell shaped'. The formulas are proposed by which the entropy relationship between the original fuzzy set and the mapped image fuzzy set based on the extension principle can be obtained easily and directly. With those formulas, the derivation of the membership function of the mapped image fuzzy set is not needed anymore.

原文	???core.languages.en_GB???
頁（從 - 到）	I-349 - I-353
期刊	Proceedings of the IEEE International Conference on Systems, Man and Cybernetics
卷	1
出版狀態	已出版 - 1999
事件	1999 IEEE International Conference on Systems, Man, and Cybernetics 'Human Communication and Cybernetics' - Tokyo, Jpn 持續時間: 12 10月 1999 → 15 10月 1999

引用此

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abstract = "Two types of fuzzy sets are considered in this paper. One is 'Hill shaped' and the other type is 'Bell shaped'. The formulas are proposed by which the entropy relationship between the original fuzzy set and the mapped image fuzzy set based on the extension principle can be obtained easily and directly. With those formulas, the derivation of the membership function of the mapped image fuzzy set is not needed anymore.",

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TY - JOUR

T1 - Entropy variation in extension principle

AU - Chiu, Chih Hui

AU - Wang, Wen June

PY - 1999

Y1 - 1999

N2 - Two types of fuzzy sets are considered in this paper. One is 'Hill shaped' and the other type is 'Bell shaped'. The formulas are proposed by which the entropy relationship between the original fuzzy set and the mapped image fuzzy set based on the extension principle can be obtained easily and directly. With those formulas, the derivation of the membership function of the mapped image fuzzy set is not needed anymore.

AB - Two types of fuzzy sets are considered in this paper. One is 'Hill shaped' and the other type is 'Bell shaped'. The formulas are proposed by which the entropy relationship between the original fuzzy set and the mapped image fuzzy set based on the extension principle can be obtained easily and directly. With those formulas, the derivation of the membership function of the mapped image fuzzy set is not needed anymore.

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M3 - 會議論文

AN - SCOPUS:0033348179

SN - 0884-3627

VL - 1

SP - I-349 - I-353

JO - Proceedings of the IEEE International Conference on Systems, Man and Cybernetics

JF - Proceedings of the IEEE International Conference on Systems, Man and Cybernetics

T2 - 1999 IEEE International Conference on Systems, Man, and Cybernetics 'Human Communication and Cybernetics'

Y2 - 12 October 1999 through 15 October 1999

ER -

Entropy variation in extension principle

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