DocumentCode
441906
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
Volume
5
fYear
2005
fDate
18-21 Aug. 2005
Firstpage
2668
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
Conference_Location
Guangzhou, China
Print_ISBN
0-7803-9091-1
Type
conf
DOI
10.1109/ICMLC.2005.1527395
Filename
1527395
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