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Iranian Journal of Fuzzy Systems، جلد ۹، شماره ۶، صفحات ۱۰۱-۱۱۱
عنوان فارسی THE RELATIONSHIP BETWEEN L-FUZZY PROXIMITIES AND L-FUZZY QUASI-UNIFORMITIES
چکیده فارسی مقاله 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.
 
کلیدواژه‌های فارسی مقاله L-Fuzzy topology، L-fuzzy proximity، L-fuzzy uniformity، L-fuzzy topogenous order، Fuzzy remote neighborhood systems،
عنوان انگلیسی THE RELATIONSHIP BETWEEN L-FUZZY PROXIMITIES AND L-FUZZY QUASI-UNIFORMITIES
چکیده انگلیسی مقاله 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.
 
کلیدواژه‌های انگلیسی مقاله L-Fuzzy topology, L-fuzzy proximity, L-fuzzy uniformity, L-fuzzy topogenous order, Fuzzy remote neighborhood systems
نویسندگان مقاله Eun-Seok Kim |
Department of Mathematics, Chonnam National University, 300 Yongbong- dong, Bukgu, 500-757, Gwangju, Korea

Seung-Ho Ahn |
Department of Mathematics, Chonnam National University, 300 Yongbong- dong, Bukgu, 500-757, GwangJu, Korea

Dae Heui Park |
Department of Mathematics, Chonnam National University, 300 Yongbong- dong, Bukgu, 500-757, GwangJu, Korea

نشانی اینترنتی http://ijfs.usb.ac.ir/article_120_e9a1f2dafb8bbda298f95ab61533e4c2.pdf
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