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 $$\mu _{\widetilde{y}_i}(0)= 1$$μy~i(0)=1 is added. The correct proof of Proposition 3.3 is also presented in this note.
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