关键词: 灰色系统, 集中有序, 优势关系, 知识约简, 标准值

Abstract: Attribute reduction is very important to knowledge acquisition in rough set theory. Considering the reality that many attributes values are uncertain in real information system, ordered concentration relation combined with gray system theory is expanded. A kind of preference relation that attribute values tend to the standard values  is established in gray information system. The significance of attribute is defined and the degree of dominance is used  as  heuristic information. On this basis, the algorithm of attributes reduction is proposed to make it suitable for the information system which attributes valued continuous gray number. A practical operation method for computing reduction is given and the feasibility of algorithm is verified via case.

Key words: gray system, ordered concentration, dominance relation, knowledge reduction, standard value