Geodesic
On the hyperspace of bounded closed sets under a generalized Hausdorff stationary fuzzy metric
Kybernetika, Tome 50 (2014) no. 5, pp. 758-773

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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.
DOI : 10.14736/kyb-2014-5-0758
Classification : 03E72, 46S40, 54A40, 54B20
Keywords: Hausdorff metric; hyperspace; triangular norms; stationary fuzzy metric 
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     title = {On the hyperspace of bounded closed sets under a generalized {Hausdorff} stationary fuzzy metric},
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Qiu, Dong; Lu, Chongxia; Deng, Shuai; Wang, Liang. On the hyperspace of bounded closed sets under a generalized Hausdorff stationary fuzzy metric. Kybernetika, Tome 50 (2014) no. 5, pp. 758-773. doi: 10.14736/kyb-2014-5-0758

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