Rough Sets: Some Foundational Issues

Authors:
Mihir K. Chakraborty;Mohua Banerjee
Affiliations:
Center for Soft Computing Research, Indian Statistical Institute, 203, B.T. Road, Kolkata 700108, India, and School of Cognitive Science, Jadavpur University, Raja S.C. Mullick Road, Kolkata 70003 ...;Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208016, India. mohua@iitk.ac.in
Venue:
Fundamenta Informaticae - To Andrzej Skowron on His 70th Birthday
Year:
2013

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Abstract

The article analyses prevalent definitions of rough sets from the foundational and mathematical perspectives. In particular, the issue of language dependency in the definitions, and implications of the definitions on the issue of vagueness are discussed in detail.