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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
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2022.08|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제24권 제1호|pp. 31-54|DOI 10.30948/afmi.2022.24.1.31

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키워드

Type-1 / type-2 fuzzy numberType-1 / type-2 fuzzy-number-valued functionType-1 / type-2 H-derivativeType-1 / type-2 fuzzy differential equationType-1 / type-2 fuzzy initial value problem

초록

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.

Abstract

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.

참고문헌 (25)

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