L‑fuzzy pre‑proximities, L‑fuzzy flters and L‑fuzzy grills | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 28, Issue 1, June 2020, Page 1-20 PDF (3.96 MB) | ||||
| DOI: 10.1186/s42787-020-00105-4 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| A. A. Ramadan; M. A. Usama; A. A. Abd El‑Latif | ||||
| High Institute of Computer King Marriott, P.O. Box 3135, Alexandria, Egypt | ||||
| Abstract | ||||
| This article gives results on fxed complete lattice L-fuzzy pre-proximities, L-fuzzy grills and L-fuzzy flters. Moreover, we investigate the relations among the L-fuzzy pre-prox‑ imities , L-fuzzy grills and L-fuzzy flters. 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 topol‑ ogy for the corresponding L-fuzzy grill by using local function. | ||||
| Keywords | ||||
| Complete lattice; Implicator; L-fuzzy pre-proximity; L-fuzzy grills; L-fuzzy flters; Galois correspondence; L-fuzzy topology | ||||
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