Affiliations: School of Information Engineering, Shandong Youth University of Political Science, Jinan, China
Correspondence:
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Corresponding author. Xiao Wang, School of Information Engineering, Shandong Youth University of Political Science, Jinan 250103, China. Tel.: +86 0531 58997390; E-mail: wangxiao@sdyu.edu.cn.
Abstract: Uncertain set is a set-valued function on an uncertainty space, and used to model unsharp concepts. In uncertain set theory, the distance between uncertain sets has been proposed. However, the existing distance measure formula is complicated and calculated by supremum and integral. Based on the membership function and inverse membership function, this paper proposes an easier way to calculate the distance between uncertain sets. At the same time, the distance measure formulas of two types of uncertain sets are also derived. Especially, the formula of triangular uncertain sets is expressed by some parameters. At last, the paper discusses the application in classification via the proposed distance measure formulas.
