| 一种基于二次规划模型的模糊偏好关系排序法 |
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| 引用本文： | 徐泽水,达庆利,陈琦.一种基于二次规划模型的模糊偏好关系排序法[J].东南大学学报,2005,21(1):108-110. |
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| 作者姓名： | 徐泽水 达庆利 陈琦 |
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| 作者单位： | [1]东南大学经济管理学院，南京210096 [2]解放军理工大学理学院，南京210007 |
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| 摘 要： | 研究了决策信息以模糊偏好关系给出的有限方案决策问题,提出了一种简洁且实用的模糊偏好关系排序方法.该方法首先建立一个二次规划模型,然后基于该模型推导出求解模糊偏好关系排序向量的一个简洁公式.基于获得的排序向量,利用一致性比例对模糊偏好关系进行一致性检验.对于一致性较差的模糊偏好关系,则需反馈给决策者重新进行判断,直至得到一个一致性可接受的模糊偏好关系为止.最后,利用2个算例对该方法进行分析和说明,数值结果表明该方法简洁、有效,且易于在计算机上操作.
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| 关 键 词： | 决策 模糊偏好关系 二次规划 排序 |
Priority approach based on quadratic programming model to fuzzy preference relation |
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| Xu Zeshui,Da Qingli,Chen Qi.Priority approach based on quadratic programming model to fuzzy preference relation[J].Journal of Southeast University(English Edition),2005,21(1):108-110. |
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| Authors: | Xu Zeshui Da Qingli Chen Qi |
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| Abstract: | We investigate the decision-making problem with a finite set of alternatives,in which the decision information takes the form of a fuzzy preference relation.We develop a simple and practical approach to obtaining the priority vector of a fuzzy preference relation.The prominent characteristic of the developed approach is that the priority vector can generally be obtained by a simple formula,which is derived from a quadratic programming model.We utilize the consistency ratio to check the consistency of fuzzy preference relation.If the fuzzy preference relation is of unacceptable consistency,then we can return it to the decision maker to reconsider structuring a new fuzzy preference relation until the fuzzy preference relation with acceptable consistency is obtained.We finally illustrate the priority approach by two numerical examples.The numerical results show that the developed approach is straightforward,effective,and can easily be performed on a computer. |
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| Keywords: | decision making fuzzy preference relation quadratic programming priority |
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