一种基于TOPSIS的混合型多属性群决策方法

中国管理科学 ›› 2012, Vol. ›› Issue (4): 109-117.

一种基于TOPSIS的混合型多属性群决策方法

梁昌勇^1,2, 戚筱雯^1,2, 丁勇^1,2, 冷亚军^1,2

1. 合肥工业大学管理学院, 安徽合肥 230009;
2. 过程优化与智能决策教育部重点实验室, 安徽合肥 230009

收稿日期:2011-07-23 修回日期:2012-02-08 出版日期:2012-08-29 发布日期:2012-08-29
基金资助:
国家自然科学基金重点资助课题(70631003);高校博士点基金项目(20110111110006);教育部人文社会科学研究青年基金项目(09YJC630055);教育部人文社会科学研究一般项目基金资(11YJC630283)

A Hybrid Multi-Criteria Group Decision Making with TOPSIS Method

LIANG Chang-yong^1,2, QI Xiao-wen^1,2, DING Yong^1,2, LENG Ya-jun^1,2

1. School of Management, Hefei University of Technology, Hefei 230009, China;
2. Key Laboratory of Process Optimization and Intelligent Decision-making, Ministry of Education, Hefei 230009, China

Received:2011-07-23 Revised:2012-02-08 Online:2012-08-29 Published:2012-08-29

摘要/Abstract

摘要： 本文针对具有语言型和直觉模糊数两种评价信息的混合型多属性群决策问题,提出了一种基于TOPSIS的决策方法。首先,定义了新的函数,可将不同粒度的语言评价信息转换成直觉模糊数。其次,在直觉模糊数熵值的基础上,提出了一种新的专家权重确定模型。再次,利用IFWA算子在把个体决策矩阵集结为群体决策矩阵后,基于TOPSIS分别计算群体评价值到正理想解和负理想解的距离,从而得到方案集的排序。最后,在ERP选优问题中的应用,验证了方法的有效性。

关键词: 群决策, 语言评价, 直觉模糊数, 熵, TOPSIS

Abstract: A new TOPSIS decision making approach is proposed for hybrid multi-attribute group decision making problem with linguistic information and intuitionistic fuzzy values. Firstly, A new conversion function is defined to transfer multi-granularity linguistic information into intuitionistic fuzzy numbers. Then, based on the theory of intuitionistic fuzzy value entropy, a model is established to judge the expert’s weight. Next, Intuitionistic fuzzy weighted averaging (IFWA) operator is utilized to aggregate individual opinions of decision makers, and TOPSIS is used to rank alternatives. Finally, an example for ERP selection is given to illustrate the effectiveness of intuitionistic fuzzy TOPSIS method.

Key words: group decision-making, linguistic evaluation, intuitionistic fuzzy value, entropy, TOPSIS

中图分类号:

C934

梁昌勇, 戚筱雯, 丁勇, 冷亚军. 一种基于TOPSIS的混合型多属性群决策方法[J]. 中国管理科学, 2012, (4): 109-117.

LIANG Chang-yong, QI Xiao-wen, DING Yong, LENG Ya-jun. A Hybrid Multi-Criteria Group Decision Making with TOPSIS Method[J]. Chinese Journal of Management Science, 2012, (4): 109-117.

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