Comment on “Duality theory in fuzzy linear programming problems with fuzzy coefficients”

Hong Mai, Bing-Yuan Cao (), Xue-Gang Zhou and Mei-Chun Liu
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Hong Mai: Guangzhou University
Bing-Yuan Cao: Guangzhou University
Xue-Gang Zhou: Guangzhou University
Mei-Chun Liu: Guangdong University of Finance

Fuzzy Optimization and Decision Making, 2016, vol. 15, issue 3, No 6, 367-370

Abstract: Abstract This note provides a counterexample to illustrate the incorrectness of the proof of Proposition 3.3 that was presented by Wu (Fuzzy Optim Decis Mak 2:61–73, 2003). The original proof of Proposition 3.3 by Wu can only be correct when the extra assumption $$\mu _{\widetilde{y}_i}(0)= 1$$ μ y ~ i ( 0 ) = 1 is added. The correct proof of Proposition 3.3 is also presented in this note.

Keywords: Fuzzy numbers; Nonnegative or nonpositive fuzzy number; Membership function (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10700-015-9224-6

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