The Effect of Unknown and Uncertain Information on the Entropy for Vague Set

According to the different proportion of unknown and uncertain information to the entropy, the present measurements for vague set were divided into three groups. Tow new measurements were proposed according to the proportion as well. Finally A weighted measure of entropy for vague set was introduced. Several data and examples were used to test the measurements above, which demonstrates the different proportion of unknown and uncertain information leads to different effect on the entropy.