A Fuzzy Distance Measure for Fuzzy Numbers

Document Type : بنیادی - نظری


Department of Statistics‎, ‎Payame Noor University, ‎Tehran‎, ‎Iran‎



A fuzzy distance measure is introduced in this paper to evaluate the fuzzy distance between two fuzzy numbers‎. ‎For this purpose‎, ‎alpha-values of fuzzy numbers are used to develop an integral-based fuzzy distance measure‎. ‎The properties of the proposed fuzzy distance measure are verified‎. ‎The proposed fuzzy distance measure is also compared with other fuzzy distance measures.


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