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J. Math. Comput. Sci. 8 (2018), 437–453

Alexandroff L-fuzzy topological spaces and reflexive L-fuzzy relations

A.A. Ramadan, Yong Chan Kim

Abstract

Galois connection in category theory palys an important role in establish the relationships between different spatial structures. In this paper, we prove that there exist many interesting Galois connections between the category of Alexandroff $L$-fuzzy topological spaces and the category of reflexive $L$-fuzzy relations.

Published
8 May 2018
Volume
8 (2018)
License
CC BY 3.0

Copyright © 2018 A.A. Ramadan, Yong Chan Kim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

A. A. Ramadan, Y. C. Kim, Alexandroff L-fuzzy topological spaces and reflexive L-fuzzy relations, J. Math. Comput. Sci. 8 (2018), 437–453. https://doi.org/10.28919/jmcs/3703

BibTeX
@article{Ramadan2018,
  author  = {Ramadan, A.A. and Kim, Yong Chan},
  title   = {Alexandroff L-fuzzy topological spaces  and reflexive L-fuzzy relations},
  journal = {J. Math. Comput. Sci.},
  volume  = {8},
  year    = {2018},
  pages   = {437--453},
  doi     = {10.28919/jmcs/3703}
}