$L$-fuzzy approximation spaces and $L$-fuzzy topological spaces

نویسندگان
Ramadan, A. A. ID 1
Elkordy, E. H. ID 2
El-Dardery, M. ID 3

1 Department of Mathematics, Faculty of Science, Beni-Suef Univer- sity, Beni-Suef, Egypt

2 Department of Mathematics, Faculty of Science, Beni-Suef Univer- sity, Beni-Suef, Egypt

3 Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt

doi
10.22111/ijfs.2016.2292
چکیده

The $L$-fuzzy approximation operator associated with an $L$-fuzzy approximation space $(X,R)$ turns out to be a saturated $L$-fuzzy closure (interior) operator on a set $X$ precisely when the relation $R$ is reflexive and transitive. We investigate the relations between $L$-fuzzy approximation spaces and $L$-(fuzzy) topological spaces.

کلیدواژه‌ها
Complete residuated lattice, $L$-fuzzy approximation spaces, $L$-fuzzy topology, Continuity