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J. Math. Comput. Sci. 4 (2014), 558–573

Relationships between Alexandrov (fuzzy) topologies and upper approximation operators

Yong Chan Kim

Abstract

In this paper, we investigate the properties of Alexandrov (fuzzy) topologies, fuzzy preorders and upper approximation operators in complete residuated lattices. Moreover, we investigate the relations among Alexandrov (fuzzy) topologies, fuzzy preorders and upper approximation operators. We give their examples.

Published
15 July 2014
Volume
4 (2014)
License
CC BY 3.0

Copyright © 2014 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

Y. C. Kim, Relationships between Alexandrov (fuzzy) topologies and upper approximation operators, J. Math. Comput. Sci. 4 (2014), 558–573.

BibTeX
@article{Kim2014,
  author  = {Kim, Yong Chan},
  title   = {Relationships between Alexandrov (fuzzy) topologies and upper approximation operators},
  journal = {J. Math. Comput. Sci.},
  volume  = {4},
  year    = {2014},
  pages   = {558--573},
  doi     = {}
}