Title :
Similarity and nearness of fuzzy sets
Author :
Tong, Xiao-jun ; Zhang, She-Min ; Zhou, Long ; Huang, Qiu-ming
Author_Institution :
Dept. of Math. & Phys., Wuhan Polytech. Univ., China
Abstract :
Similarity measure of fuzzy sets can boils down to distance nearness and "shape" similarity of two fuzzy sets, and distance nearness of two fuzzy sets can be regarded the question of least value of some function with some norm, and similarity measure can be defined the optimum factor of proportionality. Mutual subsethood theorem proposed by Kosko or Wang is the optimum factor of proportionality with l 1-norm. We construct some new similarity measure by the optimum factor of proportionality with l 2-norm.
Keywords :
fuzzy set theory; distance nearness; fuzzy sets; mutual subsethood theorem; shape similarity measure; Cybernetics; Finance; Fuzzy sets; Machine learning; Mathematics; Pattern recognition; Physics; Proportional control; nearness; optimum factor of proportionality; similarity measure;
Conference_Titel :
Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
Conference_Location :
Guangzhou, China
Print_ISBN :
0-7803-9091-1
DOI :
10.1109/ICMLC.2005.1527395
