$L$-fuzzy approximation spaces and $L$-fuzzy topological spaces

Authors

  • A. A. Ramadan Department of Mathematics, Faculty of Science, Beni-Suef Univer- sity, Beni-Suef, Egypt
  • E. H. Elkordy Department of Mathematics, Faculty of Science, Beni-Suef Univer- sity, Beni-Suef, Egypt
  • M. El-Dardery Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt
Abstract:

The $L$-fuzzy approximation operator associated with an $L$-fuzzy approximation space $(X,R)$ turns out to be a saturated $L$-fuzzy closure (interior) operator on a set $X$ precisely when the relation $R$ is reflexive and transitive. We investigate the relations between $L$-fuzzy approximation spaces and $L$-(fuzzy) topological spaces.

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Journal title

volume 13  issue 1

pages  115- 129

publication date 2016-02-28

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