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Note on the lack of equality between fuzzy weighted average and fuzzy convex sum. (English) Zbl 1291.91052

Summary: The paper shows that the equality of the interval-valued weighted average based on interval weights and the convex sum based on normalized interval weights presented by D. Dubois [Fuzzy Sets Syst. 184, No. 1, 3–28 (2011; Zbl 1242.91043)] is generally false for \(n\geq 3\) and discusses its consequences.

MSC:

91B06 Decision theory
90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
03E72 Theory of fuzzy sets, etc.

Citations:

Zbl 1242.91043
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