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Keywords:
Hausdorff metric; hyperspace; triangular norms; stationary fuzzy metric
Hausdorff metric; hyperspace; triangular norms; stationary fuzzy metric
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.
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