首页|Dynamic programming methodology for multi-criteria group decision-making under ordinal preferences

Dynamic programming methodology for multi-criteria group decision-making under ordinal preferences

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A method of minimizing rankings inconsistency is proposed for a decision-making problem with rankings of alternatives given by multiple decision makers according to multiple criteria.For each criteria, at first, the total inconsistency between the rankings of all alternatives for the group and the ones for every decision maker is defined after the decision maker weights in respect to the criteria are considered. Similarly, the total inconsistency between their final rankings for the group and the ones under every criteria is determined after the criteria weights are taken into account.Then two nonlinear integer programming models minimizing respectively the two total inconsistencies above are developed and then transformed to two dynamic programming models to obtain separately the rankings of all alternatives for the group with respect to each criteria and their final rankings. A supplier selection case illustrated the proposed method, and some discussions on the results verified its effectiveness. This work develops a new measurement of ordinal preferences' inconsistency in multi-criteria group decision-making (MCGDM) and extends the cook-seiford social selection function to MCGDM considering weights of criteria and decision makers and can obtain unique ranking result.

multi-criteria group decision-making (MCGDM)ordinal preferenceminimum deviation methoddynamic programmingCook-Seiford social selection function

Wu Li、Guanqi Guo、Chaoyuan Yue、Yong Zhao

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School of Information and Communication Engineering,Hunan Institute of Science and Technology,Yueyang 414006,P.R.China

Institute of Systems Engineering,Huazhong University of Science and Technology,Wuhan 430074,P.R.China

国家自然科学基金国家自然科学基金Philosophy and Social Science Foundation of Hunan ProvinceNational High Technology Research and Development Program of China (863 Program)

60904059609750492010YBA1042009AA04Z107

2010

10.3969/j.issn.1004-4132.2010.06.008

系统工程与电子技术(英文版)
中国航天科工防御技术研究院 中国宇航学会 中国系统工程学会 中国系统仿真学会

系统工程与电子技术(英文版)

CSCDSCIEI
影响因子：0.64
ISSN：1004-4132
年,卷(期)：2010.21(6)
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