一种Vague集相似度量的方案决策方法

A Decision Method of Schemes Using Similarity Measures between Vague Sets

在现有Vague集相似度量的基础上,提出一种改进的Vague集相似度量方法,并应用于工程方案的决策中。在改进的Vague集相似度量方法中考虑了Vague集的隶属度的三维含义、不确定隶属度对肯定与否定隶属程度的影响以及欧氏距离的表示。在基于Vague集相似度量的工程方案决策中,Vague集之间的相似度量是评价设计方案接近期望方案(理想方案)的度量,相似度量值越大,设计方案接近期望方案越好。这种方案决策的本质是一种模式识别方法。通过实例阐明所提出的相似度量法比现有方法有较强的分辨率,更为合理的工程方案决策,方案评价取得了满意的结果。

An improved method of similarity measures between vague sets is presented based on the existing similarity measures between vague sets and is applied to the decision of engineering schemes. 3 - D meaning of membership degree in vague sets, the influence of uncertain membership degree upon the affirmation membership degree and the negative membership degree, and the expression of Euclidean distance are considered in the improved method of similarity measures between vague sets. The similarity degree between the design scheme and the desired scheme （ideal scheme） is evaluated in the decision of engineering schemes based on the similarity measures between vague sets. The bigger the value of similarity measures is, the better is the similarity degree between the design scheme and the desired scheme. The essentiality of this scheme decision is a method of pattern identifications. Examples explain that the method of similarity measures presented here has stronger discrimination and more reasonable decision of the engineering schemes than the current methods of the similarity measures. The scheme evaluation obtains satisfactory results.