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Fuzzy regular measures on topological spaces. (English) Zbl 0983.28009
Summary: The concepts of the inner regularity, outer regularity and regularity of a fuzzy measure are introduced on a topological space, their properties are studied in detail and Egoroff’s theorem and Lusin’s theorem are proved. Finally, the conditions for a fuzzy measure to be tight and perfect are given, respectively.

##### MSC:
 28E10 Fuzzy measure theory 54A40 Fuzzy topology
Full Text:
##### References:
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