| 不完全偏好下的稳定婚配问题 |
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| 引用本文： | 吴威让,陈金阳,姜囡. 不完全偏好下的稳定婚配问题[J]. 数学杂志, 2016, 36(3): 566-572 |
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| 作者姓名： | 吴威让 陈金阳 姜囡 |
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| 作者单位： | 湖北师范学院数学与统计学院, 湖北 黄石 435002,湖北师范学院数学与统计学院, 湖北 黄石 435002,湖北师范学院数学与统计学院, 湖北 黄石 435002 |
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| 基金项目： | 国家自然科学基金资助(61304057);湖北省教育厅重点项目资助(D20122204);湖北省教育厅青年项目资助(Q20102508). |
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| 摘 要： | 本文研究了不完全偏好下的稳定婚配的匹配率,满意度问题.利用构造满意度函数的方法,获得了在不完全偏好下的婚配市场的人均满意度不低于全偏好下的人均满意度的结果,更好地阐释了当今社会的剩女(男)现象.
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| 关 键 词： | 稳定婚配 GS 算法 匹配率 满意度 |
| 收稿时间： | 2013-12-14 |
| 修稿时间： | 2014-01-09 |
STABLE MARRIAGE PROBLEM UNDER PARTIAL PREFERENCES |
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| WU Wei-rang,CHEN Jin-yang and JIANG Nan. STABLE MARRIAGE PROBLEM UNDER PARTIAL PREFERENCES[J]. Journal of Mathematics, 2016, 36(3): 566-572 |
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| Authors: | WU Wei-rang CHEN Jin-yang JIANG Nan |
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| Affiliation: | School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China,School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China and School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China |
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| Abstract: | In this paper, the matching-rate and the matching satisfaction of stable-matching with partial preference have been considered. Based on the research of the satisfaction function, it was theoretically explained that the satisfaction of stable-matching with partial preference was no less than the satisfaction of stable-matching with all preference. It is better to interpret the 3S lady (man) phenomenon in today''s society. |
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| Keywords: | stable marriage-matching GS-algorithm matching-rate matching satisfaction |
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