Vague集相似度的积分表示

The Integral Representation of Measures of Similarity Between Vague Sets

Chen犤1犦和李凡犤2犦分别研究了Vague集之间的相似度量。笔者也在文献犤3犦中定义了一种新的相似度量。但这些相似度量均定义在有限论域上,对无限论域的情况均未作讨论。该文给出了Vague集之间的相似度的统一概念,基于信息处理的背景,给出了论域X=犤a,b犦上Vague集之间相似度的积分表示,这些结果可以在模式识别、决策科学等领域中得到应用。

Chen have studied the measures of similarity between vague sets.Authors also have defined a kind of new similarity measure.But these measures of similarity are defined on finite universe,the condition for infinite universe is not discussed.This paper gives the concept of measures of similarity between vague sets,based on the background of vague information handling,the integral representation of measures of similarity between vague sets over X=have given,these results can get application in pattern recognition and decision scientific etc.