THE RELATIONSHIP BETWEEN L-FUZZY PROXIMITIES AND L-FUZZY QUASI-UNIFORMITIES

Document Type : Research Paper

Authors

1 Department of Mathematics, Chonnam National University, 300 Yongbong- dong, Bukgu, 500-757, Gwangju, Korea

2 Department of Mathematics, Chonnam National University, 300 Yongbong- dong, Bukgu, 500-757, GwangJu, Korea

Abstract

In this paper, we investigate the L-fuzzy proximities and the relationships betweenL-fuzzy topologies, L-fuzzy topogenous order and L-fuzzy uniformity. First, we show that the category of-fuzzy topological spaces can be embedded in the category of L-fuzzy quasi-proximity spaces as a coreective full subcategory. Second, we show that the category of L -fuzzy proximity spaces is isomorphic to the category of L-fuzzy topogenous order spaces. Finally,we obtain that the category of L-fuzzy proximity spaces can be embeddedin the category of L-fuzzy uniform spaces as a bireective full subcategory.
 

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 9, Issue 6 - Serial Number 6
November and December 2012
Pages 101-111

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