New measure method of distance between vague sets

Distance measure between vague sets is one of the most important technologies in various application fields of vague sets. In this paper, according to the definition of Canberra distance, a necessary constrain condition of the distance measure between vague sets is pointed out, and an improved axiom definition of distance measure between vague sets is proposed, then a new measure method of distance between vague sets is introduced, which is proved to satisfy the proposed axiom definition. Thus the present methodical deficiency is remedied.