The fuzzy metric space based on fuzzy measure
Copyright policy )The fuzzy metric space based on fuzzy measure
Abstract In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space. In particular, we show that the nonatom of fuzzy measure space can be characterized in the constructed fuzzy metric space.
- Hunan Women'S University China (People's Republic of)
- Jimei University China (People's Republic of)
Probability measures on topological spaces, Fuzzy topology, 54e70, 54a40, convex, t-norm, nonatom, fuzzy measure, QA1-939, Probabilistic metric spaces, fuzzy metric space, 60b05, \(t\)-norm, nonatom, Mathematics
Probability measures on topological spaces, Fuzzy topology, 54e70, 54a40, convex, t-norm, nonatom, fuzzy measure, QA1-939, Probabilistic metric spaces, fuzzy metric space, 60b05, \(t\)-norm, nonatom, Mathematics
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