Title :
Entropy variation in extension principle
Author :
Chiu, Chih-Hui ; Wang, Wen-June
Author_Institution :
Dept. of Electr. Eng., Nat. Central Univ., Chung-Li, Taiwan
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 any more
Keywords :
entropy; fuzzy set theory; bell-shaped fuzzy sets; entropy relationship; entropy variation; extension principle; hill-shaped fuzzy sets; mapped image fuzzy set; membership function; Entropy; Fuzzy sets; Probability density function; Shape;
Conference_Titel :
Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on
Conference_Location :
Tokyo
Print_ISBN :
0-7803-5731-0
DOI :
10.1109/ICSMC.1999.814115
