A key to schemes decision of the distance of Vague sets

A distance between Vague sets presented in this paper. While the material choice was being made, the distance between Vague sets was the measure in evaluating whether the material performance was close to the expected performance. The less the value of distance is, the better the chose degree between the material performance and the expected performance is. Theories of Vague sets to new method of the schemes decision was elaborated. It has been expounded through a living example that application of distance analysis between Vague sets to the material choice is feasible.