A generalized similarity measure for fuzzy numbers

Article type: Research Article

Authors: Chou, Chien-Chang^*

Affiliations: Department of Shipping Technology, National Kaohsiung Marine University & Chou’s Science Research Center, Chi-Chin, Kaohsiung City, Taiwan

Correspondence: [*] Corresponding author. Chien-Chang Chou, Department of Shipping Technology, National Kaohsiung Marine University & Chou’s Science Research Center 482, Chung-Chou 3rd Rd., Chi-Chin 805, Kaohsiung City, Taiwan. Tel.: +886 7 8100888/Ext. 5101; Fax: +886 7 5714350; E-mail: chiench1@ms58.hinet.net.

Abstract: Similarity measure is one of essential concepts in fuzzy systems. This study presents a generalized similarity measure for fuzzy numbers. The generalized similarity measure for fuzzy numbers takes account of the membership degree of fuzzy number. Finally, the generalized similarity measure for fuzzy numbers is compared with nine existing methods for similarity measure of fuzzy numbers by using some sets of fuzzy numbers. The comparison result shows that the generalized similarity measure proposed in this paper seems to be generalized and promising.

Keywords: Fuzzymathematics, membership degree, generalized similaritymeasure, fuzzy decision-making, similarity relationship

DOI: 10.3233/IFS-151838

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1147-1155, 2016