High Institute of Computer King Marriott, P.O. Box 3135, Alexandria, Egypt
https://doi.org/10.1186/s42787-020-00105-4
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.
Ramadan, A., Usama, M., & Abd El‑Latif, A. (2020). L‑fuzzy pre‑proximities, L‑fuzzy flters and L‑fuzzy grills. Journal of the Egyptian Mathematical Society, 28(1), 1-20. doi: https://doi.org/10.1186/s42787-020-00105-4
MLA
A. A. Ramadan; M. A. Usama; A. A. Abd El‑Latif. "L‑fuzzy pre‑proximities, L‑fuzzy flters and L‑fuzzy grills". Journal of the Egyptian Mathematical Society, 28, 1, 2020, 1-20. doi: https://doi.org/10.1186/s42787-020-00105-4
HARVARD
Ramadan, A., Usama, M., Abd El‑Latif, A. (2020). 'L‑fuzzy pre‑proximities, L‑fuzzy flters and L‑fuzzy grills', Journal of the Egyptian Mathematical Society, 28(1), pp. 1-20. doi: https://doi.org/10.1186/s42787-020-00105-4
VANCOUVER
Ramadan, A., Usama, M., Abd El‑Latif, A. L‑fuzzy pre‑proximities, L‑fuzzy flters and L‑fuzzy grills. Journal of the Egyptian Mathematical Society, 2020; 28(1): 1-20. doi: https://doi.org/10.1186/s42787-020-00105-4
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