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| 基于后悔理论的多目标灰靶决策方法 | |
| 引用本文： | 郭三党,刘思峰,方志耕.基于后悔理论的多目标灰靶决策方法[J].控制与决策,2015,30(9):1635-1640. |
| 作者姓名： | 郭三党 刘思峰 方志耕 |
| 作者单位： | 1. 南京航空航天大学经济与管理学院，南京210016； 2. 河南农业大学信息与管理科学学院，郑州450002. |
| 基金项目： | 国家社科基金重大项目(10zd&014)；江苏省研究生培养创新工程项目；中央高校基本科研业务费专项资金项目(CXLX12-0177). |
| 摘 要： | 针对属性值为区间灰数、权重信息不确定的多目标决策问题, 考虑决策者的心理行为, 提出一种基于后悔理论的多目标灰靶决策方法. 首先构造基于正负理想点的欣喜-后悔值函数, 建立正负靶心, 同时考虑方案与正负理想方案的接近性, 利用正负靶心距的空间投影距离构造一种新的靶心距函数, 并构建非线性优化模型来确定目标权重,最终确定出方案的排序. 最后以城市应急实例验证了所提出方法的有效性和可行性. |
| 关 键 词： | 后悔理论|灰靶决策|区间灰数|正负靶心|综合靶心距 |
| 收稿时间： | 2014/6/23 0:00:00 |
| 修稿时间： | 2014/11/6 0:00:00 |
Multi-objective grey target decision model based on regret theory |
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| GUO San-dang LIU Si-feng FANG Zhi-geng.Multi-objective grey target decision model based on regret theory[J].Control and Decision,2015,30(9):1635-1640. | |
| Authors: | GUO San-dang LIU Si-feng FANG Zhi-geng |
| Abstract: | A multi-objective grey target decision model based on the regret theory is proposed for dealing with the decision problem when considering the psychological behavior of the decision makers, where the attribute values are interval grey numbers and the attribute weights are unknown. Firstly, the rejoice-regret value function based on the positive and negative ideal solution is constructed and the positive and negative ideal bull’s eyes are obtained. A new comprehensive target-eyes distance is proposed by the proximity between the different situations to the positive and negative clouts. A non-linear optimization model is constructed to solve the optimal objective weights. Finally, an example of the city emergency instance is given to illustrate the effectiveness and practicality of the proposed model. |
| Keywords: | regret theory|grey target decision|interval grey number|positive and negative clouts|comprehensive target-eyes distance |
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