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Zbl 0782.28017
Zhang, Guangquan
Fuzzy number-valued fuzzy measure and fuzzy number-valued fuzzy integral on the fuzzy set. (English)
[J] Fuzzy Sets Syst. 49, No.3, 357-376 (1992). ISSN 0165-0114

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.
MSC 2000:
*28E10 Fuzzy measures

Keywords: fuzzy number-valued fuzzy measure; autocontinuity; null-additivity; fuzzy $\sigma$-algebra; fuzzy integral; convergence theorems

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