L‑fuzzy pre‑proximities, L‑fuzzy flters and L‑fuzzy grills
Ramadan, A., Usama, M., Abd El‑Latif, A. (2020). L‑fuzzy pre‑proximities, L‑fuzzy flters and L‑fuzzy grills. EKB Journal Management System, 28(1), 1-20. doi: 10.1186/s42787-020-00105-4
A. A. Ramadan; M. A. Usama; A. A. Abd El‑Latif. "L‑fuzzy pre‑proximities, L‑fuzzy flters and L‑fuzzy grills". EKB Journal Management System, 28, 1, 2020, 1-20. doi: 10.1186/s42787-020-00105-4
Ramadan, A., Usama, M., Abd El‑Latif, A. (2020). 'L‑fuzzy pre‑proximities, L‑fuzzy flters and L‑fuzzy grills', EKB Journal Management System, 28(1), pp. 1-20. doi: 10.1186/s42787-020-00105-4
Ramadan, A., Usama, M., Abd El‑Latif, A. L‑fuzzy pre‑proximities, L‑fuzzy flters and L‑fuzzy grills. EKB Journal Management System, 2020; 28(1): 1-20. doi: 10.1186/s42787-020-00105-4

L‑fuzzy pre‑proximities, L‑fuzzy flters and L‑fuzzy grills

Journal of the Egyptian Mathematical Society
Volume 28, Issue 1, June 2020, Pages 1-20    PDF (3.96 M)
DOI: 10.1186/s42787-020-00105-4
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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