Evidence combination approach of multi-attribute group decision making with incomplete information

doi:10.3778/j.issn.1002-8331.2011.02.004

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (2): 12-14.DOI: 10.3778/j.issn.1002-8331.2011.02.004

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Evidence combination approach of multi-attribute group decision making with incomplete information

GONG Bengang¹，GUI Yunmiao¹，ZHANG Tinglong²

1.Department of Management Engineering，Anhui Polytechnic University，Wuhu，Anhui 241000，China
2.Department of Economics and Management，Anhui Normal University，Wuhu，Anhui 241000，China

Received:2010-09-17 Revised:2010-11-29 Online:2011-01-11 Published:2011-01-11
Contact: GONG Bengang

信息不完全下多属性群决策的证据合成方法

龚本刚¹，桂云苗¹，张廷龙²

1.安徽工程大学管理工程学院，安徽芜湖 241000
2.安徽师范大学经济管理学院，安徽芜湖 241000

通讯作者: 龚本刚

Abstract

Abstract: To solve the multi-attribute group decision making problem with incomplete information，a new evidence combination approach based on relative reliability is proposed through analyzing the effect of reliability of judgment information on group decision results.Firstly，the value of qualitative attributes and quantitative attributes may be normalized.Then，by analyzing the relative reliability of judgment information，the basic probability assignment values of all focal elements are computed and integrated by Dempster’s rule of combination.The main steps of evidential reasoning approach are also given.Finally an example is presented to demonstrate the implementation of this method.

Key words: incomplete information, decision matrix, relative reliability, evidence combination, multi-attribute group decision making

摘要： 针对不完全信息下多属性群决策问题，分析决策者判断信息的可靠性对群决策结果的影响，提出一种基于相对可靠度的证据合成方法。首先对定量和定性属性值进行归一化处理；然后分析决策者判断信息的相对可靠度，运用Dempster合成法则对所有焦元的基本概率分配值进行计算与合成，并给出证据推理方法的主要步骤；最后给出了一个算例。

关键词: 不完全信息, 决策矩阵, 相对可靠度, 证据合成, 多属性群决策

CLC Number:

C934

GONG Bengang¹，GUI Yunmiao¹，ZHANG Tinglong². Evidence combination approach of multi-attribute group decision making with incomplete information[J]. Computer Engineering and Applications, 2011, 47(2): 12-14.

龚本刚¹，桂云苗¹，张廷龙². 信息不完全下多属性群决策的证据合成方法[J]. 计算机工程与应用, 2011, 47(2): 12-14.

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Evidence combination approach of multi-attribute group decision making with incomplete information

信息不完全下多属性群决策的证据合成方法

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