| 模糊全区间序结构 |
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| 引用本文： | 王绪柱,宋雪丽.模糊全区间序结构[J].数学杂志,2005,25(3):320-326. |
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| 作者姓名： | 王绪柱 宋雪丽 |
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| 作者单位： | 太原理工大学理学院数学系,山西,太原,030024 |
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| 基金项目： | 山西省青年科技研究基金资助项目(20031010). |
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| 摘 要： | 本文试图对模糊偏好结构及模糊全区间序结构的定义进行探讨，并讨论它们的性质．以Fodor等提出的公理为基础，给出了模糊偏好结构的定义，同时对一类重要的模糊偏好结构-模糊全区间序结构的性质进行了讨论，得出了模糊全区间序结构的一些充要条件．
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| 关 键 词： | 模糊关系 模糊偏好结构 模糊全区间序结构 |
| 文章编号： | 0255-7797(2005)03-0320-07 |
FUZZY TOTAL INTERVAL-ORDER STRUCTURES |
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| WANG Xu-zhu,SONG Xue-li.FUZZY TOTAL INTERVAL-ORDER STRUCTURES[J].Journal of Mathematics,2005,25(3):320-326. |
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| Authors: | WANG Xu-zhu SONG Xue-li |
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| Abstract: | In this paper, we attempt to define fuzzy preference structure and fuzzy total interval-order structure and investigate their properties. Based on the axioms proposed by Fodor et al., a general definition of fuzzy preference structure is presented. Meanwhile, the detailed discussion about properties of fuzzy total interval-order structures, a family of important fuzzy structures, is carried out and some sufficient and necessary conditions for fuzzy total interval-order structures are presented. |
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| Keywords: | fuzzy relation fuzzy preference structure fuzzy total interval-order structure |
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