Discernibility-matrix method based on the hybrid of equivalence and dominance relations

Authors:
Yan Li;Jin Zhao;Na-Xin Sun;Xi-Zhao Wang;Jun-Hai Zhai
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;Faculty of Mathematics and Computer Science, Hebei University, Baoding, Hebei Province, China;-
Venue:
RSFDGrC'11 Proceedings of the 13th international conference on Rough sets, fuzzy sets, data mining and granular computing
Year:
2011

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Abstract

The attribute set of some information systems is composed of both regular attributes and criteria. In order to obtain information reduction of this type of information systems, equivalence relation should be defined on the regular attributes and dominance relation on the criteria. Firstly, suppose condition attributes are criteria and decision attributes are regular attributes, dominance-equivalence relation is introduced,and the Discernibility-Matrix (DM) method of reduct generation is developed and compared with the attribute significance method. Secondly,when condition attributes are the hybrid of regular attributes and criteria, equivalence-dominance relation is then defined and Discernibility-Matrix approach of reduction generation is also provided.The effectiveness of this method is shown by both theoretical proof and illustrative example.