Regularity Properties of Null-Additive Fuzzy Measure on Metric Spaces

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.

• Type: Conference
• Year: 2005
• Where: MDAI
• Authors: Jun Li, Masami Yasuda, Jinjie Song
• Keywords: Fuzzy Measure, MDAI 2005, Null-additive Fuzzy Measure, Strong Regularity