J4 ›› 2010, Vol. 45 ›› Issue (9): 43-48.
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LIU Hua-li
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Abstract:
The notions of L-filter and L-fuzzy filter space are given, and lattice properties of the set of all L-filter on a fixed set X are disscussed. Then categorical properties of L-fuzzy filter space category LFIL are studied. The constructs of equivalizer and product in LFIL are given, and LFIL is proved to be a topological category. It is proved that there is an adjunction between category LFIL and category LCFIL.
Key words: L-fuzzy filter spaces; equalizer; product; left adjoint; topological category
LIU Hua-li. The category of L-fuzzy filter spaces[J].J4, 2010, 45(9): 43-48.
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http://lxbwk.njournal.sdu.edu.cn/EN/Y2010/V45/I9/43
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