Determining Significance of Attributes in the Unified Rough Set Approach

Authors:
Alicja Mieszkowicz-Rolka;Leszek Rolka
Affiliations:
Department of Avionics and Control, Rzeszów University of Technology, ul. W. Pola 2, 35-959 Rzeszów, Poland;Department of Avionics and Control, Rzeszów University of Technology, ul. W. Pola 2, 35-959 Rzeszów, Poland
Venue:
RSFDGrC '07 Proceedings of the 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Year:
2009

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Abstract

This paper discusses the problems arising in applications of the unified rough and fuzzy rough set approach to analysis of inconsistent information systems. The unified approach constitutes a parameterized generalization of the variable precision rough set model. It bases on a single notion of parameterized ï戮驴-approximation. As a necessary extension, a method suitable for a correct determination of attributes' significance is proposed. In particular, the notions of positive ï戮驴-classification region and ï戮驴-approximation quality are considered. A criterion for reduction of condition attributes is given. Furthermore, a generalized definition of the fuzzy extension ï戮驴is proposed.