On $L$-double fuzzy rough sets
نویسندگان
1 Department of Mathematics, Beni-suef University, Beni-suef, Egypt
2 Department of Mathematics, Faculty of Science and Arts at Belqarn, P. O. Box 60, Sabt Al-Alaya 61985, Bisha University, Saudi Arabia
doi
10.22111/ijfs.2016.2434چکیده
ur aim of this paper is to introduce the concept of $L$-double fuzzy rough sets in whichboth constructive and axiomatic approaches are used. In constructive approach, a pairof $L$-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.
