Similarity and nearness of the fuzzy set

被引：0

作者：

Tong, XJ ^{[1
]}

Zhang, SM ^{[1
]}

Zhou, L ^{[1
]}

Huang, QM ^{[1
]}

机构：

[1] Wuhan Polytech Univ, Dept Math & Phys, Wuhan 430074, Peoples R China

来源：

Proceedings of 2005 International Conference on Machine Learning and Cybernetics, Vols 1-9 | 2005年

关键词：

optimum factor of proportionality; similarity measure; nearness;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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.

引用

页码：2668 / 2670

页数：3

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