L-fuzzy pre-proximities, L-fuzzy filters and L-fuzzy grills
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Abstract This article gives results on fixed complete lattice L-fuzzy pre-proximities, L-fuzzy grills and L-fuzzy filters. Moreover, we investigate the relations among the L-fuzzy pre-proximities , L-fuzzy grills and L-fuzzy filters. We show that there is a Galois correspondence between the category of separated L-fuzzy grill spaces and that of separated L-fuzzy pre-proximity spaces. We introduced the local function associated with L-fuzzy grill and L-fuzzy topology and studied some of its properties. Finally, we build an L-fuzzy topology for the corresponding L-fuzzy grill by using local function.
2004 ◽
Vol 2004
(49)
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pp. 2617-2628
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2011 ◽
Vol 07
(03)
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pp. 499-513
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1997 ◽
Vol 87
(1)
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pp. 117-123
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2018 ◽
Vol 8
(1)
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pp. 35
2021 ◽
Vol 5
(1)
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pp. 1-20
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