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Article

An investigation of ideals in the set of fuzzy measures

Fuzzy Sets and Systems. 2005. Vol. 152. P. 271-288.

This work is devoted to the investigation of sets of fuzzy measures that are closed with respect to convex sum and product of fuzzy measures, which we call ideals. It is shown that the basic convex families of fuzzy measures, which are interpreted as lower probabilities, possess such properties.