Abstract: After the concepts of Vague sets and the distance measure are introduced, this paper views a single Vague value as an interval, then makes it into points through the use of the idea of transforming Vague sets to Fuzzy sets. Finally, the distance measure between two Vague values is obtained by means of calculating the Euclidean distance of point values. Then it analyzes the performance of the formula, and discusses the application in pattern recognition.

摘要： 在给出Vague集及其距离测度的概念后，将单个Vague值作为一个区间，运用Vague集向Fuzzy集转化的思想将区间离化为点，通过求点的欧式距离得出两个Vague值之间的距离测度。分析了该公式的性能，并讨论了它在模糊识别中的应用。