| 基于前景理论的风险型混合模糊多准则群决策 |
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| 引用本文： | 糜万俊,戴跃伟.基于前景理论的风险型混合模糊多准则群决策[J].控制与决策,2017,32(7):1279-1285. |
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| 作者姓名： | 糜万俊 戴跃伟 |
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| 作者单位： | 南京理工大学自动化学院,南京210094,南京理工大学自动化学院,南京210094 |
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| 基金项目： | 国家自然科学基金项目(71271116). |
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| 摘 要： | 针对准则值为模糊数的风险型多准则群决策问题,提出一种基于前景理论的多准则群决策方法.首先运用方差分析原理构建群决策参考点;然后分析区间数、三角模糊数、梯形模糊数等无量纲化方法,给出各类模糊数的价值函数计算方法,并提出群体信息集成决策步骤;最后通过算例表明所提出方法的有效性和可行性.
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| 关 键 词： | 多准则群决策 前景理论 参考点 方差分析 |
Risk mixed multi-criteria fuzzy group decision-making approach based on prospect theory |
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| MI Wan-jun and DAI Yue-wei.Risk mixed multi-criteria fuzzy group decision-making approach based on prospect theory[J].Control and Decision,2017,32(7):1279-1285. |
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| Authors: | MI Wan-jun and DAI Yue-wei |
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| Affiliation: | School of Automation,Nanjing University of Science and Technology,Nanjing210094,China and School of Automation,Nanjing University of Science and Technology,Nanjing210094,China |
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| Abstract: | According to risk multi-criteria group decision-making problems in which the criteria value of decision alternatives may be fuzzy numbers, a multi-criteria group decision-making approach based on the prospect theory is proposed. Firstly, the paper offers the group reference points by analyzing their variances, and the normalization methods of interval number and triangular number and trapezoidal number are analyzed. Then, the value function of the above fuzzy numbers can be calculated. The decision steps of integrating group information are presented. Finally, a numerical example illustrates the feasibility and effectiveness of the proposed method. |
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