$LM$-fuzzy metric spaces and convergence

Authors

  • G. Jäger School of Mechanical Engineering, University of Applied Sciences Stralsund, 18435 Stralsund, Germany Author
  • F.-G. Shi Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China Author

Keywords:

$LM$-fuzzy metric space, $L$-convergence tower space, $M$-valued distance distribution function

Subjects:

54A20, 54A40, 54E35, 54E70

Abstract

We study a category of lattice-valued metric spaces that contains many categories of lattice-valued metric spaces studied before. Furthermore, introducing suitable convergence structures, we are able to show that the category of these lattice-valued metric spaces is a coreflective subcategory of the category of lattice-valued convergence spaces and we even characterize lattice-valued metric spaces by convergence.

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Published

2019-04-15

Issue

Vol. 71 No. 1-2 (2019): Vol. 71, Issue 1-2

Section

Articles

License

Copyright (c) 2019 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.