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.

The relationship among three types of rough approximation pairs

Zhu, Kai
2014

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.
2014
Liu, Guilong; Zhu, Kai
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11565/4051528
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