A NOTE ON COMPLETENESS OF THE HAUSDORFF FUZZY METRIC SPACES

Authors

  • Changqing Li Minnan Normal University - School of Mathematics and Statistics
  • Yanlan Zhang Minnan Normal University - College of Computer
  • Kexiu Zhang Minnan Normal University - School of Mathematics and Statistics

Keywords:

fuzzy metric, Hausdorff fuzzy metric, complete, completable

Abstract

In this paper, completeness and completableness of the Hausdorff fuzzy metric spaces on the family of nonempty finite sets are explored.  Also, necessary and sufficient conditions for the Hausdorff fuzzy metric spaces on the family of nonempty compact sets to be complete are found.

Cover of n°37 Italian Journal of Pure and Applied Mathematics

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Published

2017-01-31

How to Cite

Li, C., Zhang, Y., & Zhang, K. (2017). A NOTE ON COMPLETENESS OF THE HAUSDORFF FUZZY METRIC SPACES. Italian Journal of Pure and Applied Mathematics, 37, 49–58. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6746

Issue

N°37 - January 2017

Section

Articoli - Forum Editrice

License

Copyright (c) 2017 Changqing Li, Yanlan Zhang, Kexiu Zhang

Creative Commons License

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)