关键词: Fuzzy集, Vague集, 相似度量, 模式识别

Abstract: Similarity measures are important tools for studying and applying Vague sets.In this paper，we introduce the concept of Vague sets.By using examples，we show that some existing similarity measures are not always suitable for some cases，and the reasons are analyzed as well.Based on the axiom definition of similarity measure between Vague sets，we propose a new similarity measure.Finally，the similarity measure between Vague is applied to pattern recognition.

Key words: Fuzzy set, Vague set, similarity measure, pattern recognition