Improved models of rough set decision-making and cluster analysis

By analyzing the intrinsic relationship between the rough set theory and the cluster analysis, their syncretized mechanism was investigated and the correlative mathematical demonstrations were given. Owing to the fact that it is difficult to build a decision table in rough set decision-making, a new concept, equivalent cluster, was put forward by expanding an information table by using the cluster analysis as a tool. As a result, a rough set decision-making model based on the cluster analysis was proposed. In view of the unreasonable determination of weight in the cluster analysis, thinking of attribute reduction in the rough set theory was used to solve the problem of weight determination and redundancy, and a cluster analysis model based on the rough set theory was built so as to overcome the disadvantages of the current rough set decision-making and cluster analysis models.