基于Vague集相似度量的机械设计方案评价方法

Research on an Evaluation Method of Machine Design Schemes Based on Similarity Measures between Vague Sets

针对模糊集的推广形式——Vague集,通过描述Vague集的三维含义、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,在现有相似度量的基础上,提出Vague集之间一种改进的相似度量公式及其在机械设计方案中的评价方法。在机械设计方案评价中,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。通过实例阐明Vague集之间的相似度量在机械设计方案评价中的可行性,方案评价取得了较为满意的结果。

The meaning of 3-D Vague sets, the influence of Vague degree upon the certain membership degree and the negative membership degree, and the expression of Euclidean distance were described in allusion to a generation of Zadeh＇s fuzzy sets Vague sets. An improved formula of similarity measures between Vague sets and an evaluation method for machine design schemes were presented in the existent similarity measures. The similarity measures between Vague sets evaluated the close degree between the machine design scheme and the desired scheme （ideal scheme） in the evaluation of machine design schemes. The bigger the value of similarity measure was, the better close degree between the machine design scheme and the desired scheme was. The method was illustrated that it is feasibility in the evaluation of machine design schemes by using the similarity measures between Vague sets, The scheme evaluation obtained satisfactory results.