Aximatics for Rough Set Model Based on Vague Relations
This paper presents a general framework for the study of rough set approximation operators in vague environment in which both constructive and axiomatic approaches are used. In constructive approach, by means of a vague relation defined by us, a new pair of vague rough approximation operators is ﬁrst deﬁned. Also some properties about the approximation operators are then discussed. In axiomatic approach, an operator-oriented characterization of vague rough sets is proposed, that is, vague rough approximation operators are defined by axioms.
Helen Zhang and David Jin
H. D. Zhang and Y. P. He, "Aximatics for Rough Set Model Based on Vague Relations", Advanced Materials Research, Vols. 282-283, pp. 283-286, 2011