the relationship between l-fuzzy proximities and l-fuzzy quasi-uniformities

نویسندگان

eun-seok kim

seung-ho ahn

dae heui park

چکیده

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.

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عنوان ژورنال:
iranian journal of fuzzy systems

ناشر: university of sistan and baluchestan

ISSN 1735-0654

دوره 9

شماره 6 2012

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