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On the regularity of the fuzzy measure on metric fuzzy measure spaces. (English) Zbl 0844.28009
Summary: In this paper, the concept of regular fuzzy measure on metric spaces is introduced, some of its properties are discussed and Lusin’s theorem is shown. In addition, a condition for which a uniformly autocontinuous set function is a fuzzy measure is given.

MSC:
28E10Fuzzy measure theory