New uncertainty measure of rough fuzzy sets and entropy weight method for fuzzy-target decision-making tables

In the rough fuzzy set theory,the rough degree is used to characterize the uncertainty of a fuzzy set,and the rough entropy of a knowledge is used to depict the roughness of a rough classification. both of them are effective,but they are not accurate enough. in this paper,we propose a new rough entropy of a rough fuzzy set combining the rough degree with the rough entropy of a knowledge. theoretical studies and examples show that the new rough entropy of a rough fuzzy set is suitable. as an application,we introduce it into a fuzzy-target decision-making table and establish a new method for evaluating the entropy weight of attributes. © 2014 huani qin and darong luo.