Knowledge Reduction in Incomplete and Fuzzy Objective Information Systems

This paper proposes the model of incomplete and fuzzy objective information systems based on incomplete approximation space and fuzzy objective information system, and gives the rough set model of incomplete and fuzzy objective information system by the tolerance relation. The model is the generalization of the rough set model of fuzzy objective information system in complete space and of the rough set model of incomplete information system. The related concepts of knowledge reduction are presented.