A comment on "The quadratic programming problem with fuzzy relation inequality constraints". (May 2016)

• Record Type: Journal Article
• Authors: Zhong, Yubin; Zhou, Xue-Gang; Wu, Miao-yu
• Is Part Of: Computers & industrial engineering. Volume 95(2016)
• Page Start: 10
• Page End: 15
• Publication Date: 2016-05
• Subjects: Fuzzy relation inequality -- Max-product composition -- FRI path; Engineering -- Data processing -- Periodicals; Industrial engineering -- Periodicals; 620.00285
• DOI: 10.1016/j.cie.2016.02.010
• Languages: English
• ISSNs: 0360-8352

Abstract

Highlights: Point out some deficiencies and errors found in the paper which are proposed by Molai. Analysis of the cause of the error. Define a new definition of FRI path of max-product fuzzy relation inequality. Propose some new results. Abstract: 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 1. 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.