Generalized distribution reduction in inconsistent decision systems based on dominance relations

Authors:
Yan Li;Jin Zhao;Na-Xin Sun;Sankar Kumar Pal
Affiliations:
Faculty of Mathematics and Computer Science, Hebei University, Baoding, Hebei Province, China;Faculty of Mathematics and Computer Science, Hebei University, Baoding, Hebei Province, China;Faculty of Mathematics and Computer Science, Hebei University, Baoding, Hebei Province, China;Machine Intelligence Unit, Indian Statistical Institute, Kolkata, India
Venue:
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
Year:
2010

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Abstract

By incorporating dominance principle in inconsistent decision systems based on dominance relations, two new types of distribution reductions are proposed, i.e., generalized distribution reduction and generalized maximum distribution reduction, and their properties and relationship are also discussed. The corresponding generalized distribution discernibility matrix is then defined to provide a convenient computation method to obtain the generalized distribution reductions. The validation of this method is showed by both theoretical proofs and illustrative examples.