کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
395704 666003 2006 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Rough approximations on a complete completely distributive lattice with applications to generalized rough sets
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Rough approximations on a complete completely distributive lattice with applications to generalized rough sets
چکیده انگلیسی

The generalizations of rough sets considered with respect to similarity relation, covers and fuzzy relations, are main research topics of rough set theory. However, these generalizations have shown less connection among each other and have not been brought into a unified framework, which has limited the in-depth research and application of rough set theory. In this paper the complete completely distributive (CCD) lattice is selected as the mathematical foundation on which definitions of lower and upper approximations that form the basic concepts of rough set theory are proposed. These definitions result from the concept of cover introduced on a CCD lattice and improve the approximations of the existing crisp generalizations of rough sets with respect to similarity relation and covers. When T-similarity relation is considered, the existing fuzzy rough sets are the special cases of our proposed approximations on a CCD lattice. Thus these generalizations of rough sets are brought into a unified framework, and a wider mathematical foundation for rough set theory is established.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Sciences - Volume 176, Issue 13, 3 July 2006, Pages 1829–1848
نویسندگان
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