| 属性值为区问数的多属性决策OWA算法 |
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| 引用本文： | 焦佳,周庆健.属性值为区问数的多属性决策OWA算法[J].大连民族学院学报,2013(3):276-279. |
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| 作者姓名： | 焦佳 周庆健 |
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| 作者单位： | [1]大连民族学院理学院,辽宁大连116605 [2]大连理工大学系统研究所,辽宁大连116024 |
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| 基金项目： | 国家自然科学基金项目（11226157）;中央高校基本科研业务费专项资金资助项目（DC110325,DC110103,DC120101115）. |
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| 摘 要： | 针对属性值为区间数的多属性决策问题，提出了一种简洁实用的决策分析方法。首先论证决策对象的优势关系与其属性值区间数的两端点数值平均值（区间中值）存在等价关系，然后将区问数的多属性决策问题转化为以区间中值为属性值的决策问题，应用有序加权平均算法（OWA算法）进行方案的排序与择优，最后通过一个实例验证了该方法的可行性和有效性。
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| 关 键 词： | 多属性决策 区间数 区间中值 OWA算法 |
Research on the Ordered Weighted Averaging Algorithm to Multi -attribute Decision- making with Attribute Value within Interval Numbers |
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| Institution: | JIAO jia, ZHOU Qing -jian (1. College of Science, Dalian Nationalities University, Dalian Liaoning 116605, China; 2. Institute of System, Dalian University of Technology, Dalian Liaoning 116024, China) |
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| Abstract: | In view of the multi - attribute decision - making problem with the attribute value within interval numbers, a concise and practical decision analysis approach is proposed in this paper. Firstly, we prove that the advantage relation of the alternatives is equivalent to the mean of the two attribute interval end value （ interval median）. Secondly, we transform the multi - attribute decision -making problem with the attribute value within interval numbers into the problem with the attribute value within interval medians, and use the ordered weighted averaging method to rank all the alternatives as well as select the best. Finally, a numerical example is used to illustrate the feasibility and the validity of the approach proposed in the paper. |
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| Keywords: | multi - attribute decision - making interval number interval median OWA algorithm |
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