| 区间数排序方法评述 |
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| 引用本文： | 孙海龙,姚卫星.区间数排序方法评述[J].系统工程学报,2010,25(3). |
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| 作者姓名： | 孙海龙 姚卫星 |
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| 作者单位： | 1. 曲阜师范大学电气信息与自动化学院,山东,日照,276826
2. 南京航空航天大学航空宇航学院,江苏,南京,210016 |
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| 基金项目： | 曲阜师范大学博士科研启动经费资助项目，曲阜师范大学校级资助项目 |
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| 摘 要： | 从确定性角度和基于度的角度两方面分析评述了目前已有的具有代表性的区间数排序方法.分析了任意两个区间数在数轴上可能的位置关系.探讨了确定性排序法的适用性以及层次关系,提出选择确定性排序方法的方案,指出确定性排序法的优缺点;分析了基于度的排序法的特点及其存在的问题.综合区间数排序的确定性法和基于度的方法的优缺点,提出了在形式上直观表达数据均匀性和分散性的区间数排序的可能度公式.分析了引入建立在区间数比较关系划分基础上的排序方法的必要性.
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| 关 键 词： | 区间数 区间分析 确定性排序方法 基于度的排序法 |
Comments on methods for ranking interval numbers |
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| SUN Hai-long,YAO Wei-xing.Comments on methods for ranking interval numbers[J].Journal of Systems Engineering,2010,25(3). |
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| Authors: | SUN Hai-long YAO Wei-xing |
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| Institution: | SUN Hai-long1,YAO Wei-xing2(1.School of Electric Information and Automation,Qufu Normal University,Rizhao 276826,China,2.School of Aerospace Engineering,University of Aeronautics and Astronautics,Nanjing 210016,China) |
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| Abstract: | From viewpoint of certainty and viewpoint of degree,respectively,representative ranking methods of interval numbers are reviewed.All possible position relations of any two interval numbers in real axis are illustrated.The applicability and hierarchy relations of certainty ranking methods are investigated,and a scheme for selection among certainty ranking methods is proposed.The characteristics and problems of ranking methods based on degree also are analyzed.A new possibility degree formula for ranking inte... |
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| Keywords: | interval number interval analysis certain ranking method degree-based ranking method |
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