Vague(值)集间的相似度量及其应用

Similarity measure between Vague sets(Values) and its applications

鉴于已知的一些Vague集间的相似度量和距离公式有缺陷,提出用分段函数表达的Vague(值)集间的接近度的定义,应用此定义重新给出用分段函数表达的Vague(值)集相似度量的定义。给出了三个加权接近度公式和三个加权相似度量新公式。给出在Vague环境下用Vague集间的接近度和相似度量进行模式识别的方法。应用实例表明所给公式皆是有效的。

In this paper,some faults in some known similarity measures and distance formulas between Vague sets are pointed out,and a definition of approach measures between Vague sets （Values） by piecewise function is presented.Using the definition, definition of similarity measures between Vague sets （Values） is a new proposed by piecewise function.Three weighed approach measure formulas and three new similarity measure formulas are given.A method of pattern recognition by approach measure and similarity measure between Vague sets is presented in Vague set environment condition.An example shows that all formulas are effective.