Basic rules and general method on similarity measures between vague sets

This paper firstly analyses some main similarity measures between vague sets and between elements at present and points out the same disadvantage of these measures. Then, some new basic rules are proposed to measure the rationality of similarity measures. According to the basic rules, a new method of similarity measures is introduced in general situations based on the concept of that the hesitancy/uncertain degree of elements should not be counteracted. Some of the necessary conditions of this similarity measure are also pointed out. Finally, the application of the similarity measure and its effectiveness are illustrated by an example in pattern recognition.