Article ID Journal Published Year Pages File Type
403636 Knowledge-Based Systems 2014 7 Pages PDF
Abstract

The aim of the paper is to clarify mathematical relationship among three types of rough approximation pairs. We propose subsystem-based definition of generalized rough sets and consider three different types of generalized rough approximation pairs from the viewpoint of three definitions, namely, the element, granule, and subsystem-based definitions. This paper investigates these three types of generalized rough sets with respect to arbitrary binary relations. The topologies induced by granule-based generalized rough sets are introduced. Finally, we give a characterization of granule-based generalized rough sets.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence
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