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Triangular shaped type-2 fuzzy numbers: Application to type-2 fuzzy differential equations
Norihiro Someyama,Hiroaki Uesu,Kimiaki Shinkai,Shuya Kanagawa 원광대학교 기초자연과학연구소 2022 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.24 No.1
It is generally difficult to compute the level cut sets of type-2 fuzzy sets, so type-2 fuzzy sets that are more naturally represented and whose level cut sets can be computed relatively easily are desired. Then, we introduce a new type-2 fuzzy number called Triangular Shaped Type-2 Fuzzy Number in this paper. Moreover, we study calculus for type-2 fuzzy-number-valued functions and solve the problem of a fuzzy differential equation whose initial value is this type-2 fuzzy number.