Regularity Properties of Null-Additive Fuzzy Measure on Metric Spaces

Jun Li,Jinjie Song,Masami Yasuda

doi:10.1007/11526018_7

Regularity Properties of Null-Additive Fuzzy Measure on Metric Spaces

Jun Li, Jinjie Song + Show 1 more

https://doi.org/10.1007/11526018_7

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Publication Date: Jan 1, 2005

Citations: 17

Affiliation: Communication University of China, Tianjin University of Technology, Chiba University

#Fuzzy Measure #Strong Regularity + Show 4 more

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Abstract

AbstractWe 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.KeywordsFuzzy measurenull-additivityregularity

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