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

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• 作者：Chi-Tsuen Yeh ^{ctyeh@mail.nutn.edu.tw}
• 关键词：Fuzzy numbers ; Trapezoidal approximations ; Triangular approximations ; Linear operators ; Expected interval ; Value ; Ambiguity
• 刊名：Fuzzy Sets and Systems
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：310
• 期：Complete
• 页码：1-13
• 全文大小：331 K
• 卷排序：310

文摘

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.