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基于Vague集相似度量的机械设计方案评价方法     被引量:4

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

文献类型:期刊文献

中文题名:基于Vague集相似度量的机械设计方案评价方法

英文题名:Research on an Evaluation Method of Machine Design Schemes Based on Similarity Measures between Vague Sets

作者:叶军[1]

机构:[1]绍兴文理学院机电系

年份:2006

卷号:37

期号:4

起止页码:125

中文期刊名:农业机械学报

外文期刊名:Transactions of the Chinese Society for Agricultural Machinery

收录:CSTPCD、、北大核心2004、Scopus、CSCD2011_2012、北大核心、CSCD

基金:浙江省自然科学基金资助项目(项目编号:M603070)

语种:中文

中文关键词:模糊集;Vague集;相似度量;欧氏距离;方案评价

外文关键词:Fuzzy sets, Vague sets, Similarity measures, Euclidean distance, Scheme evaluation

中文摘要: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。

外文摘要: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.

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