A comment on "The quadratic programming problem with fuzzy relation inequality constraints"

被引:4
作者
Zhong, Yubin [1 ]
Zhou, Xue-Gang [2 ]
Wu, Miao-yu [1 ]
机构
[1] Guangzhou Univ, Higher Educ Inst, Sch Math & Informat Sci, Key Lab Math & Interdisciplinary Sci Guangdong, Guangzhou 510006, Guangdong, Peoples R China
[2] Guangdong Univ Finance, Dept Appl Math, Guangzhou 510521, Guangdong, Peoples R China
基金
中国博士后科学基金;
关键词
Fuzzy relation inequality; Max-product composition; FRI path;
D O I
10.1016/j.cie.2016.02.010
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This note provides counterexamples to illustrate that Definition 1 and Theorem 2 which are proposed by Molai (2012) are incorrect. We first point out some deficiencies and errors found in the above referenced paper. The incorrect of Theorem 2 is due to the inaccuracy of Definition I. Then we present a counterexample to illustrate the incorrect of FRI path. At last, we propose a new definition of FRI path of max-product fuzzy relation inequality. Some examples are presented to illustrate that the new definition of FRI path is correct. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:10 / 15
页数:6
相关论文
共 3 条
[1]  
[Anonymous], 2006, Fuzzy Optim Decis Mak, DOI DOI 10.1007/S10700-005-4914-0
[2]   An algorithm for solving optimization problems with fuzzy relational inequality constraints [J].
Guo, Fang-Fang ;
Pang, Li-Ping ;
Meng, Dan ;
Xia, Zun-Quan .
INFORMATION SCIENCES, 2013, 252 :20-31
[3]   The quadratic programming problem with fuzzy relation inequality constraints [J].
Molai, Ali Abbasi .
COMPUTERS & INDUSTRIAL ENGINEERING, 2012, 62 (01) :256-263