关键词: 粗糙集, 区间值, 序信息系统, 分布约简

Abstract: Because of the complexity and uncertainty of information systems, it??s hard to use accurate value to represent the object??s attribute value. The interval-value which blurred is used to deal with the issue. This paper introduces dominance relations to establish inconsistent interval-valued fuzzy ordered decision information system. Then, this paper considers distribution reduction and maximum distribution reduction to simplify the expression of knowledge, at the same time, finds out the relationship between them. Moreover, this paper obtains judgment theorem of distribution reduction and maximum distribution reduction and discernibility matrix in the system. It also provides specific method of distribution reduction and maximum distribution reduction in interval-valued fuzzy ordered decision information system. Furthermore, this paper analyzes a specific case about the venture investment and discusses the significance of study on distribution reduction. Finally, this experiment enriches rough set method for interval-valued fuzzy ordered decision information system.

Key words: rough set, interval-value, ordered information system, distribution reduction