Properties of Strong Regularity of Fuzzy Measure on Metric Space
2015
The purpose of this paper is to discuss the properties of regularity and strong regularity of fuzzy measure on metric spaces following the previous results. Some properties are defined with the help of null- additivity such as inner\outer regularity and the regularity of fuzzy measure. We define the strong regularity of fuzzy measures and show our result that the null-additive fuzzy measures possess a strong regularity on complete separable metric spaces.
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