Comment on “An algorithm for solving optimization problems with fuzzy relational inequality constraints”

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• 作者：Xue-Gang Zhou^a ; Xiao-Peng Yang^b ; Bing-Yuan Cao ; ^c ; ^{caobingy@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Linear programming ; Fuzzy relational inequality
• 刊名：Information Sciences
• 出版年：2016
• 出版时间：20 November 2016
• 年：2016
• 卷：370-371
• 期：Complete
• 页码：123-126
• 全文大小：253 K

文摘

A counterexample is provided to illustrate the incorrectness of I⁰ in Rule 1 presented by Guo et al. [F.F. Guo, L.P. Pang, D. Meng, Z.Q. Xia. An algorithm for solving optimization problems with fuzzy relational inequality constraints, Information Sciences 252 (2013) 20-31]. In other words, (7b) and (7b^*) in the referenced paper above are not equivalent unless index set I⁰ is revised, since the definition of I⁰ in Rule 1 can only be correct when the constraints are fuzzy relational equations. And finally the correct of I⁰ is also presented in this note.