A new similarity measure of generalized fuzzy numbers and its application to pattern recognition

Authors:
Deng Yong;Shi Wenkang;Du Feng;Liu Qi
Affiliations:
School of Electronics & Information Technology, Shanghai Jiao Tong University, 1954 Huashan Road, Shanghai 200030, People's Republic of China;School of Electronics & Information Technology, Shanghai Jiao Tong University, 1954 Huashan Road, Shanghai 200030, People's Republic of China;School of Electronics & Information Technology, Shanghai Jiao Tong University, 1954 Huashan Road, Shanghai 200030, People's Republic of China;Shanghai Institute for Biological Sciences, Chinese Academy of Sciences, Shanghai 200031, People's Republic of China
Venue:
Pattern Recognition Letters
Year:
2004

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Abstract

In this paper, a new method to measure the degree of similarity between generalized fuzzy numbers is presented. Eighteen sets of generalized fuzzy numbers are used to compare the proposed method with the existing similarity measures. The results show that the new similarity measure can overcome the drawbacks of the existing methods. Finally, the proposed similarity measure is applied to pattern recognition.