About a Fuzzy Distance between Two Fuzzy Partitions and Application in Attribute Reduction Problem

Abstract

According to traditional rough set theory approach, attribute reduction methods are performed on the decision tables with the discretized value domain, which are decision tables obtained by discretized data methods. In recent years, researches have proposed methods based on fuzzy rough set approach to solve the problem of attribute reduction in decision tables with numerical value domain. In this paper, we proposeafuzzy distance between two partitions and an attribute reduction method in numerical decision tables based on proposed fuzzy distance. Experiments on data sets show that the classification accuracy of proposed method is more efficient than the ones based fuzzy entropy.

Keywords

• fuzzy rough set
• fuzzy equivalence relation
• fuzzy distance
• decision table
• attribute reduction
• reduct