THE RELATIONSHIP BETWEEN L-FUZZY PROXIMITIES AND L-FUZZY QUASI-UNIFORMITIES
نوع مدرک
TextResearch Paper
زبان مدرک
Englishچکیده
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.
کلید واژگان
L-Fuzzy topologyL-fuzzy proximity
L-fuzzy uniformity
L-fuzzy topogenous order
Fuzzy remote neighborhood systems
شماره نشریه
6تاریخ نشر
2012-12-011391-09-11
ناشر
University of Sistan and Baluchestanسازمان پدید آورنده
Department of Mathematics, Chonnam National University, 300 Yongbong- dong, Bukgu, 500-757, Gwangju, KoreaDepartment of Mathematics, Chonnam National University, 300 Yongbong- dong, Bukgu, 500-757, GwangJu, Korea
Department of Mathematics, Chonnam National University, 300 Yongbong- dong, Bukgu, 500-757, GwangJu, Korea
شاپا
1735-06542676-4334
