Vague集(值)相似度量的比较和改进

相似度量是研究和应用vague集（值）的重要工具．本文首先介绍了vague集（值）的概念，定义了相似度．接着比较了已有的vague值的相似度量方法．用实例说明这些方法在某些情况下不适用，并分析了造成不适用的原因，进而指出影响vague集（值）相似度量的3个因素．在此基础上改进了vague值和加权vague值的相似度量方法，最后修正了vague集的相似度量方法．由于所提出的方法考虑了影响vague集（值）相似度量的各个因素，因而能避免已有方法在某些数值上的不妥．

Comparision and improvement on similarity measures between vague sets and between elements

Similarity measures are important tools for studying and applying vague sets and vague values. Firstly, the concept of vague sets and vague values are introduced, and also the similarity degree is defined. Then some existing similarity measures are reviewed and compared. It is poimed out that those methods are not always suitable for some cases, and the reasons are analyzed as well. Afterwards, it is shown that three factors influencing vague sets and vague values should be taken into account while calculating the similarity degree. Based on them, the similarity measures between vague values and between weighted elements are improved. Finally, the similarity measures between vague sets are modified. As considering all factors influencing the similarity degree between vague sets and between elements, the proposed methods can avoid inapplicability of the existing methods in some cases.