On the continuity of fuzzy integral in relation with measure convergence
The aim of this paper is to analyze the continuity of the fuzzy integral in relation to the measure convergence. More precisely, we introduce the concept of autocontinuity of a fuzzy measure with respect to another fuzzy measure and we establish necessary and sufficient conditions such that measure convergence of functions, with respect to a fuzzy measure, implies the convergence of the fuzzy integral with respect to another fuzzy measure.
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