On connectedness of the Hausdorff fuzzy metric spaces
Keywords:
fuzzy metric, the Hausdorff fuzzy metric, compact subset, connectedAbstract
Several properties of the Hausdorff fuzzy metric, as completeness, pre-compactness and completion were discussed by Rodr´ıguez-L´opez and Romaguera [The Hausdorff fuzzy metric on compact sets, Fuzzy Sets and Systems 147 (2004) 273–283]. It is necessary to seek other more properties of the Hausdorff fuzzy metric. In the paper, we show that a fuzzy metric space is connected if and only if the corresponding Hausdorff fuzzy metric space on compact (finite) sets is connected.
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Published
2019-07-30
How to Cite
Li, C., & Zhang, Y. (2019). On connectedness of the Hausdorff fuzzy metric spaces. Italian Journal of Pure and Applied Mathematics, 42, 458–466. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7221
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Section
Articoli - Forum Editrice
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Copyright (c) 2019 Changqing Li, Yanlan Zhang
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
