Title :
The universal calculate formula of σ-similarity measure of fuzzy sets
Author :
Xiao-Jun Tong ; She-Ming Zhang ; Jin Xu
Author_Institution :
Dept. of Mathematics & Phys., Wuhan Polytech Univ., China
Abstract :
The universal calculate formula of σ-similarity measure of fuzzy sets is deduced by depending upon the σ-additivity, and the proposition of σ-similarity measure is discussed by this universal calculate formula. According this formula, we can find that the similarity measure ties to lp-distance has σ-additivity only if p equals 1.
Keywords :
fuzzy set theory; σ-additivity; σ-similarity measure; fuzzy sets; universal calculate formula;
Conference_Titel :
Machine Learning and Cybernetics, 2004. Proceedings of 2004 International Conference on
Print_ISBN :
0-7803-8403-2
DOI :
10.1109/ICMLC.2004.1382105
