Categories isomorphic to (L , M ) -DFTOP | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 24, Issue 4, 2016, Page 499-507 PDF (485.46 K) | ||||
DOI: 10.1016/j.joems.2015.02.004 | ||||
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Authors | ||||
A. A. Ramadan1; A. A. Abd El-latif2 | ||||
1Department of Mathematics, Faculty of Science, Beni-suef University, Egypt | ||||
2Department of Mathematics, Faculty of Science and Arts at Balgarn, P.O. Box 60, Sabt Al-Alaya 61985, Bisha University, Saudi Arabia | ||||
Abstract | ||||
The aim of this paper is to introduce the notion of (L , M) -double fuzzy quasicoincident neighborhood system, and investigate the relationships between (L , M) -double fuzzy quasi-coincident neighborhood spaces and (L , M) -double fuzzy topological spaces in the category aspect. Also, we give a characterization of (L , M) -DFTOP, which is called compatible antichain L - double topologies and consider the categorical connections between them. Finally, to better under- stand (L , M) - DFTOP , several categories were introduced. | ||||
Keywords | ||||
(L , M) -double fuzzy topology; (L , M) -double fuzzy quasi-coincident neighborhood space; Isomorphic category | ||||
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