| 基于优性指标的灰色风险型多指标决策方法 |
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| 引用本文： | 秦玉慧,罗党.基于优性指标的灰色风险型多指标决策方法[J].河南教育学院学报(自然科学版),2007,16(3):4-6. |
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| 作者姓名： | 秦玉慧 罗党 |
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| 作者单位： | 1. 华北水利水电学院,数学与信息科学学院,河南,郑州,450011
2. 华北水利水电学院,管理与经济学院,河南,郑州,450011 |
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| 摘 要： | 针对指标权重完全未知且指标值为区间灰数的风险型多指标决策问题进行了研究,提出了基于优性指标的灰色风险型多指标决策方法;利用区间灰数大小比较的可能度、优性指标矩阵和分析技巧,将原问题转化为指标值为实数的无风险多指标决策问题;利用信息熵确定出指标权重,给出了两种相应的算法,进而得到方案集的排序并进行择优;应用实例说明了所提出的两种算法的合理性和有效性.
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| 关 键 词： | 多指标风险型决策 优性指标 信息熵 波达选择函数 |
| 文章编号： | 1007-0834(2007)03-0004-03 |
| 修稿时间： | 2007年4月26日 |
Grey Multiple Criteria Decision Making Method Under Risk Based on Priority Index |
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| QIN Yuhui,LUO Dang.Grey Multiple Criteria Decision Making Method Under Risk Based on Priority Index[J].Journal of Henan Education Institute(Natural Science Edition),2007,16(3):4-6. |
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| Authors: | QIN Yuhui LUO Dang |
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| Abstract: | The problem of grey multiple criteria decision making method under risk,in which attribute weights are completely unknown and attribute values are interval grey numbers,is discussed.A method of grey multiple criteria decision making method under risk based on priority index is proposed.By using possibility degree for comparison between interval grey numbers,priority index matrix and analytical technique,original problems are converted to non-risky multiple criteria decision making problems with attribute values of real numbers.Attribute weights are attained by entropy weight analytical method,then two corresponding algorithms are given for ranking of alternatives and choosing the best.At last,an example illustrates the validity and efficiency of two algorithms given. |
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| Keywords: | multiple criteria decision making under risk priority index information entropy Borda choice function |
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