On $L$-double fuzzy rough sets

Document Type: Research Paper

Authors

1 Department of Mathematics, Faculty of Science and Arts at Belqarn, P. O. Box 60, Sabt Al-Alaya 61985, Bisha University, Saudi Arabia

2 Department of Mathematics, Beni-suef University, Beni-suef, Egypt

Abstract

ur aim of this  paper  is  to introduce the concept of $L$-double fuzzy rough sets in which
both constructive and axiomatic approaches are used. In constructive approach, a pair
of $L$-double fuzzy lower (resp. upper) approximation operators is defined  and the basic properties of them  are studied.
From the viewpoint of the axiomatic approach, a set of axioms is constructed to characterize the $L$-double fuzzy upper (resp. lower) approximation of $L$-double fuzzy rough sets. Finally, from $L$-double fuzzy  approximation operators, we generated Alexandrov $L$-double fuzzy topology.

Keywords


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