Abstract: Aiming at the existing methods of Vague set distance measurement, this paper points out that these methods have some defects through specific vague set data. Therefore, a new distance measurement formula for two Vague values is proposed in this paper, which proves that the distance measurement has good properties, such as non-negative, intermediate and triangle inequality. The application of new Vague set distance measure in pattern recognition is illustrated by an example 

Key words: Vague value, distance measure, property, pattern recognition