L-fuzzy pre-proximities, L-fuzzy filters and L-fuzzy grills

Journal of the Egyptian Mathematical Society

A. A. Abd El-Latif¹  M. A. Usama²  A. A. Ramadan² 

[1] Department of Mathematics, Faculty of Science and Arts at Belqarn, University of Bisha, P.O. Box 60, 61985, Sabt Al-Alaya, Kingdom of Saudi Arabia;High Institute of Computer King Marriott, P.O. Box 3135, Alexandria, Egypt;Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt;

关键词: Complete lattice;    Implicator;    L;    L;    L;    Galois correspondence;    L;    03E72;    54A40;    18B30;   

DOI  :  10.1186/s42787-020-00105-4

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY