Journal
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Volume 32, Issue 3, Pages 271-279Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/0308107031000107775
Keywords
fuzzy measure; null-additivity; regularity; Egoroff's theorem; Lusin's theorem
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In this paper, we investigate the regularity of null-additive fuzzy measures on metric spaces and show that Lusin's theorem on fuzzy measure space remains valid for those fuzzy measures with null-additivity. Egoroff's theorem for fuzzy measures on metric spaces is presented. These are generalizations and improvements of the previous results obtained by others.
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