| 一种用于模糊判断矩阵排序的χ2方法 |
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| 引用本文： | 姜艳萍,樊治平.一种用于模糊判断矩阵排序的χ2方法[J].东北大学学报(自然科学版),2000,21(5). |
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| 作者姓名： | 姜艳萍 樊治平 |
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| 作者单位： | 东北大学工商管理学院,辽宁,沈阳,110006 |
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| 基金项目： | 辽宁省自然科学基金项目! ( 0 0 10 2 0 0 3)，国家教育部高等学校骨干教师资助计划项目! (教技司 [2 0 0 0 ]65) |
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| 摘 要： | 根据决策者给出关于决策方案的一类模糊判断矩阵 ,提出了一种方案排序的 χ2 方法·首先 ,给出了关于模糊判断矩阵及其完全一致性的概念 ;然后 ,建立了一个关于求解方案排序值的最优化模型 ,并讨论了求解优化模型的理论依据和算法 ,采用该方法可以直接得到每个方案的参考排序值 ,并使方案的排序结果最大程度地反映了决策者的偏好 ;最后给出了一个算例
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| 关 键 词： | 模糊判断矩阵 方案排序 算法 |
Chi-Square Ranking Method for the Fuzzy Judgement Matrix |
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| JIANG Yan-ping,FAN Zhi-ping.Chi-Square Ranking Method for the Fuzzy Judgement Matrix[J].Journal of Northeastern University(Natural Science),2000,21(5). |
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| Authors: | JIANG Yan-ping FAN Zhi-ping |
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| Abstract: | A Chi Square method is presented for ranking alternatives based on a kind of fuzzy judgement matrix about the alternatives provided by the decision maker. Firstly, structure of fuzzy judgement matrix and its consistency are introduced. Then, an optimization model is constructed to obtain ranking values of the alternatives. The theory and the algorithms for solving the model are also discussed. The ranking values of alternatives can be obtained by the model and the rankings of alternatives can reflect the subjective preference of the decision maker accurately. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. |
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| Keywords: | fuzzy judgement matrix alternative ranking algorithm |
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