文献类型：期刊文献

中文题名：Vague集之间的相似度量及其在方案决策中的应用

英文题名：Similarity measurement between vague sets and their application in scheme decision

作者：娄建国[1]

机构：[1]绍兴文理学院机电系

年份：2005

卷号：12

期号：6

起止页码：325

中文期刊名：工程设计学报

外文期刊名：Journal of Engineering Design

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(M603070)

语种：中文

中文关键词：模糊集;Vague集;相似度量;欧氏距离;方案决策

外文关键词：fuzzy sets; Vague sets; similarity measures; euclidean distance; decision of schemes

中文摘要：针对模糊集的推广形式——V ague集,描述了V ague集中隶属度的三维含义、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,提出V ague集的相似度量与工程方案决策方法.在工程设计方案决策中,V ague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.最后通过实例阐明V ague集之间的相似度量在工程设计方案决策中的可行性和合理性.

外文摘要：Taking the aim at a new generation of Zadeh＇s fuzzy sets——Vague sets, 3-D meaning of membership degree, influence of uncertain membership degree upon certain membership degree and negative membership degree, and expression of Euclidean Distance were described. Furthermore, a similarity measurement between Vague sets and a decision method of engineering design schemes were presented. In engineering design scheme decision, similarity between Vague sets is a measurement to evaluate how the design scheme is close to the ideal one. The bigger the similarity measurement value is, the better the design scheme is. Finally, feasibility and reasonability of similarity measurement of Vague sets in engineering design scheme decision are demonstrated through illustrations.