A new criterion of choice between generalized triangular fuzzy numbers

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• 作者：Franco Molinari ^{franco.molinari@unitn.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Weighting functions ; Fuzzy numbers ranking
• 刊名：Fuzzy Sets and Systems
• 出版年：2016
• 出版时间：1 August 2016
• 年：2016
• 卷：296
• 期：Complete
• 页码：51-69
• 全文大小：466 K

文摘

In this paper we consider a new criterion of choice between generalized (or rounded) triangular fuzzy numbers based on the concept of the weighted possibilistic mean introduced by Fullér and Majlender. First we introduce a preference relation which establishes a partial order on the family of generalized triangular fuzzy numbers. Second, we present a weak preference relation which leads to a total order on this family. Then we consider the special case of triangular fuzzy numbers and rephrase the preceding results in terms of selected parameters characterizing a triangular fuzzy number. Finally we compare our results with a number of new approaches recently discussed in the literature.