A new approach for ranking fuzzy numbers based on possibility theory

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• 作者：Qiupeng Gu^a ; ^b ; ^{qiupeng5233@163.com" class="auth_mail" title="E-mail the corresponding author} ; Zuxing Xuan^c ; ^{zuxingxuan@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Generalized fuzzy numbers ; Ranking ; Triangular fuzzy numbers ; Trapezoidal fuzzy numbers
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：309
• 期：Complete
• 页码：674-682
• 全文大小：468 K

文摘

Most of the ranking methods discuss only triangular fuzzy numbers or trapezoidal fuzzy numbers. In this paper, we will introduce a new method of ranking generalized L−R$L-R$ fuzzy numbers based on possibility theory and the implication of possibilistic mean and possibilistic standard deviation. Normal fuzzy numbers are the exceptional cases. The calculation of the proposed method is simpler and easier. Some comparative examples are used to illustrate the advantages of the proposed method.