Article ID Journal Published Year Pages File Type
397699 International Journal of Approximate Reasoning 2013 10 Pages PDF
Abstract

Axiomatic approaches to study approximation operators are one of the primary directions for the investigation of rough set theory. In this paper, we provide some axiomatic systems of lower and upper approximation operators in rough set theory. We also apply the axiomatic systems of generalized rough sets for definitions of generalized lower and upper approximations with respect to an ideal of a ring and discuss some of their significant properties.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence