| 属性值为区间数的多属性决策对象排序研究 |
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| 引用本文： | 刘健,刘思峰.属性值为区间数的多属性决策对象排序研究[J].中国管理科学,2010,18(3):90-94. |
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| 作者姓名： | 刘健 刘思峰 |
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| 作者单位： | 南京航空航天大学经济与管理学院, 江苏南京210016 |
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| 基金项目： | 国家自然基金重大研究计划培育项目(90924022);国家社科重点项目(08AJY024);国家自然科学基金(60704042);中国自然科学基金资助项目(60704042) |
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| 摘 要： | 多属性决策问题的实质利用已有决策信息,通过一定方式对备选方案进行排序和择优。针对属性值为区间数的多属性决策对象排序问题,首先,提出决策对象优势关系这一概念,再次,得出决策对象的优势关系与其属性值两端点的实数值之和存在等价关系;最后,利用属性值为区间数的多属性决策实例对该算法进行了实例分析,并利用优势关系对决策对象进行排序并择优。
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| 关 键 词： | 多属性决策 优势关系 优势矩阵 区间数排序 |
| 收稿时间： | 2009-11-26 |
| 修稿时间： | 2010-5-20 |
Research on the Ranking of Multiple Decision Object for Attribute Value within Interval Numbers |
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| LIU Jian,LIU Si-feng.Research on the Ranking of Multiple Decision Object for Attribute Value within Interval Numbers[J].Chinese Journal of Management Science,2010,18(3):90-94. |
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| Authors: | LIU Jian LIU Si-feng |
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| Institution: | College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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| Abstract: | The essence of multi-attribute decision making is the use of existing decision-making information through a certain way and preferred options to sort.In order to solve the multi-attribute decision making problems that use property value for the interval numbers,in this paper,first of all,we put forward the definition of dominance relation for decision making objects.Then,we figure out the equivalence relations which exist between the value of advantage relationship for decision making object and the sum of two attribute values.Finally,we analyze the multi-attribute decision instances by using attribute values as the interval number.We use the probabilistic dominance relation to sort and select the decision-making objects. |
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| Keywords: | multiple attribute decision making dominance relation advantage matrix ranking of interval number |
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