| 基于优势关系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,吴顺祥.基于优势关系的多属性决策对象排序研究[J].控制与决策,2012,27(4):632-635. |
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| 作者姓名： | 刘健 刘思峰 吴顺祥 |
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| 作者单位： | 南京航空航天大学经济与管理学院;宾夕法尼亚州立大学信息科学与技术学院;厦门大学信息科学与技术学院 |
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| 基金项目： | 国家自然科学基金重大研究计划培育项目(90924022);国家社科重点项目(08AJY024) |
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| 摘 要： | 多属性决策问题的实质是利用已有的决策信息,通过一定方式对备选方案进行分析、排序、择优和评价,以找到一种简捷方便的排序方法.鉴于此,针对属性值为区间数的多属性决策问题,首先提出区间数向联系数的转化及联系数可能度;然后根据可能度大小提出区间数及决策对象优势关系,并根据优势关系及联系数可能度大小提出几种新的排序算法;最后以实际投票决策问题为例验证了上述排序算法.
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| 关 键 词： | 多属性决策 区间数 联系数 优势关系 优势矩阵 |
| 收稿时间： | 2010/9/19 0:00:00 |
| 修稿时间： | 2010/12/13 0:00:00 |
Ranking research based on dominant relation for multiple-attribute decision making object |
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| LIU Jian LIU Si-feng WU Shun-xiang.Ranking research based on dominant relation for multiple-attribute decision making object[J].Control and Decision,2012,27(4):632-635. |
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| Authors: | LIU Jian LIU Si-feng WU Shun-xiang |
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| Affiliation: | 1.College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;2.College of Information Sciences and Technology,The Pennsylvania State University,State College 16802,USA;3.College of Information Science and Technology,Xiamen University,Xiamen 361005,China.) |
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| Abstract: | The essence of multiple attribute decision making is to use the present decision-making information to sort analyze,rank and evaluate the alternatives,so as to find out the easiest and correct way to rank.For the multiple attribute decision making problem of attribute value within interval number,transformation methods for interval number into connection number is proposed.Then,the connection number is used as possibility degree formula for those numbers between two interval numbers.And the magnitude of interval number is tested for decision making advantage matrix according to its possibility degree.Finally,examples of voting problem show that this ranking method is logical and feasible. |
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| Keywords: | multiple attribute decision making interval number connection number dominance relation advantage matrix |
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