Existence of interval, triangular, and trapezoidal approximations of fuzzy numbers under a general condition

被引：22

作者：

Yeh, Chi-Tsuen ^{[1
]}

机构：

[1] Natl Univ Tainan, Dept Appl Math, 33 Sec,2 Shu Lin St, Tainan 70005, Taiwan

来源：

FUZZY SETS AND SYSTEMS | 2017年 / 310卷

关键词：

Fuzzy numbers; Trapezoidal approximations; Triangular approximations; Linear operators; Expected interval; Value; Ambiguity; NEAREST PARAMETRIC APPROXIMATION; EXPECTED INTERVAL; QUANTITY; FORM;

D O I：

10.1016/j.fss.2016.03.013

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Recently, many scholars studied approximations of fuzzy numbers by specific fuzzy numbers under preservation of some operators. In fact, these approximations may not exist for some linear operators. The purpose of this paper is to study necessary and sufficient conditions of linear operators which are preserved by interval, triangular, symmetric triangular, trapezoidal, or symmetric trapezoidal approximations of fuzzy numbers. In addition, an effective method for solving such problems is proposed. (C) 2016 Published by Elsevier B.V.

引用

页码：1 / 13

页数：13

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