Correspondence: Note on the lack of equality between fuzzy weighted average and fuzzy convex sum

Authors:
Ondej Pavlaka
Affiliations:
Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University Olomouc, 17. listopadu 12, 771 46 Olomouc, Czech Republic
Venue:
Fuzzy Sets and Systems
Year:
2013

Citing 4
Cited 0

Fuzzy weighted averages and implementation of the extension principle

Fuzzy Sets and Systems
Fuzzy weighted average: The linear programming approach via charnes and cooper's rule

Fuzzy Sets and Systems
Modeling uncertain variables of the weighted average operation by fuzzy vectors

Information Sciences: an International Journal
The role of fuzzy sets in decision sciences: Old techniques and new directions

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.20

Visualization

Abstract

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 in Dubois [The role of fuzzy sets in decision sciences: old techniques and new directions, Fuzzy Sets Syst. 184 (2011) 3-28] is generally false for n=3 and discusses its consequences.