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On $L$-double fuzzy rough sets | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 10، دوره 13، شماره 3، شهریور 2016، صفحه 125-142 اصل مقاله (392.05 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2434 | ||
نویسندگان | ||
A. A. Abd El-latif* 1؛ A. A. Ramadan2 | ||
1Department of Mathematics, Faculty of Science and Arts at Belqarn, P. O. Box 60, Sabt Al-Alaya 61985, Bisha University, Saudi Arabia | ||
2Department of Mathematics, Beni-suef University, Beni-suef, Egypt | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
$L$-fuzzy sets؛ $L$-double fuzzy relations؛ $L$-double fuzzy rough sets؛ $L$-double fuzzy approximation operators؛ $L$-double fuzzy topology | ||
مراجع | ||
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