Topology vs generalized rough sets
نویسندگان
چکیده
منابع مشابه
Generalized fuzzy rough sets
This paper presents a general framework for the study of fuzzy rough sets in which both constructive and axiomatic approaches are used. In constructive approach, a pair of lower and upper generalized approximation operators is defined. The connections between fuzzy relations and fuzzy rough approximation operators are examined. In axiomatic approach, various classes of fuzzy rough approximation...
متن کاملGeneralized rough sets via ideals
The aim of this paper to construct a new rough set structure for a given ideal and to study many of their properties. 2010 AMS Classification: 54A05, 54H99
متن کاملGeneralized Rough Sets and Relations
In this paper, we introduce the notions of generalized upper (lower) approximations, generalized upper (lower) bounded operations and various operations. We investigate their properties. Mathematics Subject Classification: 03B52, 03B70, 03G25
متن کاملRough Entropy Based on Generalized Rough Sets Covering Reduction
In generalized rough set covering reduction theory, it is necessary to find a new measure to knowledge and rough set because the upper and lower approximations of rough sets are determined by their covering reduction. In this paper, information entropy is introduced to discuss the rough entropy of knowledge and the roughness of rough set, based on generalized rough set covering reduction. A new...
متن کاملGeneralized Rough Sets in Contextual Spaces
KEY WORDS Contextual spaces, context relation, contextual rough sets, elements of a contextual rough set, the counterpart of the axiom of extensionality. ABSTRACT This paper originates from the conceptions of rough sets presented by Pawlak (1982, 1992). It also refers to Ziarko's conception (1993) and the conceptions of Blizard's multisets (1989a, 1989b), Zadeh's fuzzy sets (1965), and the auth...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Approximate Reasoning
سال: 2011
ISSN: 0888-613X
DOI: 10.1016/j.ijar.2010.07.010