多属性相对变权决策模型及方法

中国管理科学 ›› 2014, Vol. 22 ›› Issue (5): 104-114.

多属性相对变权决策模型及方法

李春好¹, 李孟姣¹, 马慧欣¹, 杜元伟², 李金津¹

1. 吉林大学管理学院, 吉林长春 130022;
2. 昆明理工大学管理与经济学院, 云南昆明 650093

收稿日期:2012-08-01 修回日期:2013-04-14 出版日期:2014-05-20 发布日期:2014-05-14
作者简介:李春好（1967-），男（汉族），辽宁盖州人，吉林大学管理学院，教授，博士生导师，博士/出站博士后（日本京都大学），研究方向：复杂系统管理决策.
基金资助:
国家自然科学基金资助项目（71371083，71261011，70971054）；教育部新世纪优秀人才支持计划（NCET-09-0419）；教育部人文社会科学研究规划基金（09YJA630047）；吉林大学杰出青年基金（2010GL）；教育部人文社会科学研究青年基金（12YJC630090）

Model and Method of Multiple Attribute Decision Making with Relative Variable Weights

LI Chun-hao¹, LI Meng-jiao¹, MA Hui-xin¹, DU Yuan-wei², LI Jin-jin¹

1. School of Management, Jilin University, Changchun 130022, China;
2. Faculty of Management and Economics, Kunming University of Science and Technology, Kunming, 690093, China

Received:2012-08-01 Revised:2013-04-14 Online:2014-05-20 Published:2014-05-14

摘要/Abstract

摘要： 为克服多因素变权决策方法以及多属性决策Choquet积分模型没有科学反映多属性决策过程中决策者点依赖偏好关联行为的技术缺陷，在借鉴摆幅置权方法和网络分析法技术要点的基础上，运用数据包络分析的相对评价思维，提出一种全新的评价与决策方法即多属性相对变权决策方法。相对于多因素变权决策方法，新方法可以直接反映决策者的点依赖偏好结构，从而可以克服前者在反映点依赖偏好关联行为上所存在的源于决策分析者的武断随意性；相对于多属性决策Choquet积分模型，新方法可以反映决策者的点依赖偏好关联行为，并且在多数实际决策场合可以较有效地规避Choquet积分模型在决策参数判断上的指数复杂性难题。案例应用验证表明：新方法可以给出与决策者关于偏好依赖关联定性看法及客观事实非常相符的选择结论，可以更好地反映决策者的具体偏好。

关键词: 多属性决策, 变权决策, 偏好依赖, 摆幅置权, 网络分析法, 数据包络分析

Abstract: Both the multiple factor decision-making method based on variable weights (MFDMM-VW) and the Choquet integral model (CIM) for multiple attribute decision-making (MADM) cannot reflect reasonably the decision-maker's point-dependence preference in MADM. To overcome the mentioned shortcoming, a new MADM approach to evaluation and decision making, i.e., the MADM model with relative variable weights (MADMM-RVW), and its corresponding method are presented based on the swing-weighting, the analytic network process, and the relative evaluation thought embodied in data envelopment analysis. Compared with the MFDMM-VW, the MADMM-RVW is able to reflect directly the decision-maker's point-dependence preference structure, and thus overcome the arbitrariness of the MFDMM-VW in reflecting the decision-maker's point-dependence preference, resulted from decision analysts when the MFDMM-VW is applied. Compared with the CIM, the MADMM-RVW can not only reflect the decision-maker's point-dependence preference but also avoid more efficiently the CIM's large-scale estimation problem of decision parameters in many MADM cases. Applied in a case study, the MADMM-RVW is showed to give decision conclusions well consistent with objective existence and the decision-maker's qualitative opinions on preference dependence, and thus be capable of better reflecting the decision-maker's specific preference behaviors.

Key words: MADM, decision making with variable weights, preference dependence, swing weighting, analytic network process, data envelopment analysis

中图分类号:

C934
N94

李春好, 李孟姣, 马慧欣, 杜元伟, 李金津. 多属性相对变权决策模型及方法[J]. 中国管理科学, 2014, 22(5): 104-114.

LI Chun-hao, LI Meng-jiao, MA Hui-xin, DU Yuan-wei, LI Jin-jin. Model and Method of Multiple Attribute Decision Making with Relative Variable Weights[J]. Chinese Journal of Management Science, 2014, 22(5): 104-114.

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