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工程设计学报
Chinese Journal of Engineering Design  2005, Vol. 12 Issue (6): 325-328    DOI:
    
Similarity measurement between vague sets and their application in scheme decision
 LOU  Jian-Guo
Department of Mechatronic Engineering, Shaoxing College of Arts and Sciences, Shaoxing 312000, China
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Abstract  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. 

Key words： fuzzy sets      Vague sets      similarity measures      euclidean distance      decision of schemes     
Published: 28 December 2005
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Cite this article:

LOU Jian-Guo. Similarity measurement between vague sets and their application in scheme decision. Chinese Journal of Engineering Design, 2005, 12(6): 325-328.

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https://www.zjujournals.com/gcsjxb/     OR     https://www.zjujournals.com/gcsjxb/Y2005/V12/I6/325


Vague集之间的相似度量及其在方案决策中的应用

针对模糊集的推广形式——Vague集，描述了Vague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Vague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，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。最后通过实例阐明Vague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。

关键词： 模糊集,  Vague集,  相似度量,  欧氏距离,  方案决策 
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