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On the hyperspace of bounded closed sets under a generalized Hausdorff stationary fuzzy metric. (English) Zbl 1309.54005
Summary: In this paper, we generalize the classical Hausdorff metric with t-norms and obtain its basic properties. Furthermore, for a given stationary fuzzy metric space with a t-norm without zero divisors, we propose a method for constructing a generalized Hausdorff fuzzy metric on the set of the nonempty bounded closed subsets. Finally we discuss several important properties as completeness, completion and precompactness.

##### MSC:
 54A40 Fuzzy topology 54B20 Hyperspaces in general topology
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##### References:
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