## 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.

Zbl 1242.91043
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