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Zbl 1184.68514
Leung, Yee; Ma, Jian-Min; Zhang, Wen-Xiu; Li, Tong-Jun
Dependence-space-based attribute reductions in inconsistent decision information systems. (English)
[J] Int. J. Approx. Reasoning 49, No. 3, 623-630 (2008). ISSN 0888-613X

Summary: In rough set theory, attribute reduction is an important mechanism for knowledge discovery. This paper mainly deals with attribute reductions of an inconsistent decision information system based on a dependence space. Through the concept of inclusion degree, a generalized decision distribution function is first constructed. A decision distribution relation is then defined. On the basis of this decision distribution relation, a dependence space is proposed, and an equivalence congruence based on the indiscernibility attribute sets is also obtained. Applying the congruences on a dependence space, new approaches to find a distribution consistent set are formulated. The judgement theorems for judging distribution consistent sets are also established by using these congruences and the decision distribution relation.

MSC 2000:: *68T37 Reasoning under uncertainty

Keywords: congruence; decision information system; decision distribution relation; dependence space; generalized decision distribution function; judgement theorems; judging distribution

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