id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_dbv35sagorckbdvaob7uqlwxma	Y. Y. Yao	Probabilistic approaches to rough sets	2003	11	.pdf	application/pdf	8891	1268	75	Both algebraic and probabilistic rough set approximations are studied. a major application of rough set theory, is studied in probabilistic Keywords: rough set approximations, granular computing, decision-theoretic rough set model, rule induction, high rule induction in set-theoretic terms (Yao, 2001b). related issues of granulation, approximation and rule related issues of granulation, approximation and rule definable set containing A is called the upper approximation of A, written aprU=EðAÞ. suggested an accuracy measure of rough set approximation Many authors have studied the approximation of probabilities in the framework of rough sets, By incorporating the overlap, many authors have introduced and studied probabilistic rough set approximations probabilistic rough set approximations. probabilistic rough set approximations. obtain the probabilistic rough set approximation proposed With respect to the three regions of rough set approximations, we can construct three classes of rules. (2001a) Information granulation and rough set functions in the theory of rough sets, Information Sciences, 104,	./cache/work_dbv35sagorckbdvaob7uqlwxma.pdf	./txt/work_dbv35sagorckbdvaob7uqlwxma.txt