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Fuzzy number-valued fuzzy measure and fuzzy number-valued fuzzy integral on the fuzzy set. (English) Zbl 0782.28017
Summary: Some new concepts – the fuzzy number-valued fuzzy measure, autocontinuity and null-additivity of fuzzy number-valued fuzzy measures on the fuzzy \(\sigma\)-algebra, and the fuzzy number-valued fuzzy integral on the fuzzy set – are introduced. Some properties of fuzzy number- valued fuzzy integrals and some convergence theorems for sequences of fuzzy number-valued fuzzy integrals on a fuzzy set are discussed.

28E10 Fuzzy measure theory
Full Text: DOI
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