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http://dx.doi.org/10.5391/JKIIS.2008.18.1.145

Similarity Measure Construction for Non-Convex Fuzzy Membership Function  

Park, Hyun-Jeong (Dept. of Mathematics Education, Ewha Womans University)
Kim, Sung-Shin (Dept. of Electrical Engineering, Pusan National University)
Lee, Sang-H. (School of Mechatronics, Changwon National University)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.18, no.1, 2008 , pp. 145-149 More about this Journal
Abstract
The similarity measure is constructed for non-convex fuzzy membership function using well known Hamming distance measure. Comparison with convex fuzzy membership function is carried out, furthermore characteristic analysis for non-convex function are also illustrated. Proposed similarity measure is proved and the usefulness is verified through example. In example, usefulness of proposed similarity is pointed out.
Keywords
Fuzzy entropy; Similarity measure; Distance measure; Non-convex fuzzy set;
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