| 关于全区间序结构的一些结论 |
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| 引用本文： | 武彩萍,王绪柱,郝永花. 关于全区间序结构的一些结论[J]. 太原理工大学学报, 2007, 38(5): 455-457 |
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| 作者姓名： | 武彩萍 王绪柱 郝永花 |
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| 作者单位： | 太原理工大学,理学院,山西,太原,030024 |
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| 基金项目： | 山西省留学回国人员科研启动基金 |
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| 摘 要： | 对文献中与全区间序结构有着密切联系的几个条件进行了深入的研究,得出全区间序结构的几个充要条件。通过讨论可以看出:一个偏好结构为全区间序结构当且仅当大偏好关系矩阵的行元素按Tl排列(从高到低),列按Tc排列时,可以表为一种特殊形式的矩阵,从而,通过大偏好关系矩阵的形式,很容易判断一个结构是否为全区间序结构。
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| 关 键 词： | 偏好结构 全区间序结构 Ferrers关系 严格全序 |
| 文章编号： | 1007-9432（2007）05-0455-03 |
| 修稿时间： | 2007-04-06 |
Some Results on Total Interval Order Structures |
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| WU Cai-ping,WANG Xu-zhu,HAO Yong-hua. Some Results on Total Interval Order Structures[J]. Journal of Taiyuan University of Technology, 2007, 38(5): 455-457 |
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| Authors: | WU Cai-ping WANG Xu-zhu HAO Yong-hua |
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| Affiliation: | College of Sciences of TUT , Taiyuan 030024, China |
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| Abstract: | Some conditions associated with total interval order structures in the literature is discussed.Several necessary and sufficient conditions are obtained.It can be seen from investigation that a preference structure is a total interval order structure if the matrix of the large preference relation can be represented in a very special way when the elements of the universe are ranked from higher to lower based on Tl in the row and Tc in the column resp.,and thus it is easy to determine whether a structure is a total interval order structure or not by means of the matrix representation of the large preference relation. |
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| Keywords: | preference structure total interval order structure Ferrers relation strict total order |
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