Watanabe, Toshikazu; Yamada, Syuji; Tanaka, Tamaki Note on the regularity of nonadditive measures. (English) Zbl 1397.28008 J. Appl. Math. 2013, Article ID 234681, 4 p. (2013). Summary: We consider the regularity for nonadditive measures. We prove that the non-additive measures which satisfy Egoroff’s theorem and have pseudometric generating property possess Radon property (strong regularity) on a complete or a locally compact, separable metric space. MSC: 28E10 Fuzzy measure theory 28C15 Set functions and measures on topological spaces (regularity of measures, etc.) 28A33 Spaces of measures, convergence of measures PDF BibTeX XML Cite \textit{T. Watanabe} et al., J. Appl. Math. 2013, Article ID 234681, 4 p. (2013; Zbl 1397.28008) Full Text: DOI OpenURL