Abstract
We shall discuss further regularity properties of null-additive fuzzy measure on metric spaces following the previous results. Under the null-additivity condition, some properties of the inner/outer regularity and the regularity of fuzzy measure are shown. Also the strong regularity of fuzzy measure is discussed on complete separable metric spaces. As an application of strong regularity, we present a characterization of atom of null-additive fuzzy measure. © Springer-Verlag Berlin Heidelberg 2005.
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Li, J., Yasuda, M., & Song, J. (2005). Regularity properties of null-additive fuzzy measure on metric spaces. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3558 LNAI, pp. 59–66). Springer Verlag. https://doi.org/10.1007/11526018_7
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