On L‑fuzzy closure operators and L‑fuzzy pre‑proximities | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 29, Issue 1, 2021, Pages 1-18 PDF (2.93 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/joems.2021.386539 | ||
| Authors | ||
| A. A. Ramadan* ; E. H. Elkordy; M. A. Usama | ||
| Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt. | ||
| Abstract | ||
| The aim of this paper is to investigate the relations among the L-fuzzy pre-proximities, L-fuzzy closure operators and L-fuzzy co-topologies in complete residuated lattices. We show that there is a Galois correspondence between the category of separated L-fuzzy closure spaces and that of separated L-fuzzy pre-proximity spaces and we give their examples. | ||
| Keywords | ||
| Complete residuated lattice; L-fuzzy pre-proximity; L-fuzzy closure operators; L-fuzzy co-topologies; Galois correspondence | ||
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