A note on "Resolution of fuzzy relation equations (I) based on Boolean-type implications"

Authors:
Jinquan Li;Kaibiao Sun;Hongxing Li
Affiliations:
School of Mathematical Sciences, Beijing Normal University, Beijing 100875, PR China;School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, PR China;School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, PR China
Venue:
Computers & Mathematics with Applications
Year:
2009

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Resolution of fuzzy relation equations (I) based on boolean-type implications

Computers & Mathematics with Applications

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Abstract

This paper shows, by examples, that Lemma 2.1, Lemma 3.1, Corollary 3.1, Corollary 3.2, Theorem 3.1, Corollary 3.3, Theorem 3.3 and Lemma 4.1 in [Y. Luo, Resolution of fuzzy relation equation (I) based on Boolean-type implications, Comput. Math. Appl. 52 (2006) 421-428] about resolution of fuzzy relation equations based on Boolean-type implications, are false. We also point out that the solution set of Example 5.1 is not right and we give the right solution set of Example 5.1.