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This paper points out the same limitations of some main distance measures between vague sets at present. According to the basic rules of distance measures, a new distance formula is constructed based on the concept of which the influence of hesitancy/uncertain degree of vague values should be superimposed instead of being counteracted. This thesis also discussed the TOPSIS based on the distance measure, and its effectiveness in application fields which is illustrated by an example of scheme evaluation of mechanical design. It provides a new approach to solving decision making problems of scheme evaluation.