Knowledge Reductions in Inconsistent Information Systems Based on Dominance Relations

Knowledge reduction is one of the most important problems in rough set theory.However,most of informa tion systems are not only inconsistent,but also based on dominance reiations because of various factors.To acquire brief decision rules from inconsistent systems based on dominance relations,knowledge reductions are needed.The main aim of this paper is to study the problem.The assignment reduction and approximation reduction are introduced in inconsis- tent systems based on dominance relations,and relationships between them are examined.The judgment theorem and discernable matrix are obtained,from which we can provide new approach to knowledge reductions in inconsistent sys terns based on dominance relations.