Title :
The structure of σ-entropy of fuzzy set
Author :
Xiao-Jun Tong ; Qiu-Ming Huang ; Zhou Kang
Author_Institution :
Dept. of Math. & Phys., Wuhan Polytech. Univ.
Abstract :
Based on special additivity of σ-entropy and proposition of monotone function, we study the structure of σ-entropy of fuzzy set. At first, we describe the structure of σ-entropy. Then, with this structure in place, we derive primary propositions of σ-entropy, and a conclusion of the entropy under lp-distance, that is, this entropy of fuzzy set has σ-additivity only if p equals 1.
Keywords :
entropy; fuzzy set theory; σ-entropy structure; fuzzy set; monotone function; Entropy; Fuzzy sets;
Conference_Titel :
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location :
Dalian, China
Print_ISBN :
1-4244-0061-9
DOI :
10.1109/ICMLC.2006.259054
