| 基于相容性准则的群组决策专家赋权最优模型 |
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| 引用本文： | 陈华友.基于相容性准则的群组决策专家赋权最优模型[J].系统工程与电子技术,2008,30(6). |
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| 作者姓名： | 陈华友 |
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| 作者单位： | 安徽大学数学科学学院,安徽,合肥,230039 |
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| 基金项目： | 国家自然科学基金
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安徽省自然科学基金
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安徽教育厅省级教学研究项目
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安徽省优秀青年科技基金
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安徽大学校科研和教改项目 |
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| 摘 要： | 在群组决策中,针对专家给出的正互反判断矩阵提出一种专家赋权最优模型。在判断矩阵满足完全一致性的条件下,探讨了加权几何平均组合判断矩阵与加权几何平均组合向量所构成的特征矩阵的相容性。同时在相容性概念基础上,建立了基于相容性准则下的专家赋权方法的最优化模型,研究了模型的求解方法。最后进行了实例分析,结果表明提出的模型是合理可行的。
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| 关 键 词： | 群组决策 相容性 专家赋权 组合判断矩阵 一致性 |
Optimal model of weighting experts in group decision-making based on compatibility criterion |
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| CHEN Hua-you.Optimal model of weighting experts in group decision-making based on compatibility criterion[J].System Engineering and Electronics,2008,30(6). |
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| Authors: | CHEN Hua-you |
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| Abstract: | According to the reciprocal judgment matrices provided by experts,the optimal model of weighting experts is proposed in the group decision-making.Under the conditions of judgment matrices satisfying consistency,the compatibility of judgment matrices is discussed between the weighting geometric averaging combination judgment matrix and the characteristic matrix formed by weighting geometric averaging combination vectors.Based on the concept of compatibility,the optimal model of weighting experts is constructed under the criterion of minimizing the compatibility of judgment matrices.The solving method for the model is also discussed.Finally,an example is illustrated and the results show that the model is reasonable and feasible. |
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| Keywords: | group decision-making compatibility weighting experts combination judgment matrix consistency |
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