Entropy variation in extension principle

Chih Hui Chiu, Wen June Wang

Research output: Contribution to journalConference articlepeer-review


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.

Original languageEnglish
Pages (from-to)I-349 - I-353
JournalProceedings of the IEEE International Conference on Systems, Man and Cybernetics
StatePublished - 1999
Event1999 IEEE International Conference on Systems, Man, and Cybernetics 'Human Communication and Cybernetics' - Tokyo, Jpn
Duration: 12 Oct 199915 Oct 1999


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