THE RELATIONSHIP BETWEEN L-FUZZY PROXIMITIES AND L-FUZZY QUASI-UNIFORMITIES
نویسندگان
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
3 Department of Mathematics, Chonnam National University, 300 Yongbong- dong, Bukgu, 500-757, GwangJu, Korea
doi
10.22111/ijfs.2012.120چکیده
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.
