基于灰色关联度和理想解法的决策方法研究

中国管理科学 ›› 2005, Vol. ›› Issue (4): 63-68.

基于灰色关联度和理想解法的决策方法研究

孙晓东, 焦玥, 胡劲松

青岛大学管理科学与工程系, 山东, 青岛, 266071

收稿日期:2004-11-22 修回日期:2005-07-08 出版日期:2005-08-28 发布日期:2012-03-07
基金资助:
国家自然科学基金(70371024);山东省自然科学基金(Y2003H01)

Research on Decision-Making Method Based on Gray Correlation Degree and TOPSIS

SUN Xiao-dong, JIAO Yue, HU Jin-song

Department of Management Science and Engineering, Qingdao University, Qingdao 266071, China

Received:2004-11-22 Revised:2005-07-08 Online:2005-08-28 Published:2012-03-07

摘要/Abstract

摘要： 引入灰色系统理论对传统理想解法(TOPSIS)进行了拓展,提出了一种基于灰色关联度和理想解法(TOP-SIS)的决策方法。该方法将欧氏距离和灰色关联度有机结合,构造了一种新的相对贴近度以实现对方案的评价。新贴近度同时反映了方案与理想方案和负理想方案之间的位置关系和数据曲线的相似性差异,物理含义更加明确。最后通过一个供应商选择的示例进一步说明了方法的应用步骤。

关键词: 理想解法, 欧氏距离, 灰色关联度, 相对贴近度

Abstract: In this paper,we analyzed the disadvantage of traditional TOPSIS, and presented a new decision-making method based on grey correlation degree and TOPSIS.This method established a new kind of relative similarity degree by combining the Euclidean distance with grey correlation degree.The new similarity degree reflects the distance and the different shape among a selected scheme, the ideal solution and negative ideal solution.Its implication is clearer.At the end,this method is explained by an example.

Key words: TOPSIS, Euclidean distance, gray correlation degree, relative similarity degree

中图分类号:

孙晓东, 焦玥, 胡劲松. 基于灰色关联度和理想解法的决策方法研究[J]. 中国管理科学, 2005, (4): 63-68.

SUN Xiao-dong, JIAO Yue, HU Jin-song. Research on Decision-Making Method Based on Gray Correlation Degree and TOPSIS[J]. Chinese Journal of Management Science, 2005, (4): 63-68.

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