On the hyperspace of bounded closed sets under a generalized Hausdorff stationary fuzzy metric

Abstract

On the hyperspace of bounded closed sets under a generalized Hausdorff stationary fuzzy metric Kybernetika, Vol. 50 (2014) 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.