| L-Fuzzy拟序集的理想完备化 |
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| 引用本文： | 张奇业.L-Fuzzy拟序集的理想完备化[J].模糊系统与数学,2006,20(5):1-5. |
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| 作者姓名： | 张奇业 |
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| 作者单位： | 北京航空航天大学,数学系,北京,100083;信息、数学与行为教育部重点实验室,北京,100083 |
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| 基金项目： | 北京航空航天大学理学院科研创新基金资助项目(0504) |
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| 摘 要： | 建立4]中定义的L-fuzzy拟序集的一种理想完备化,即证明了L-fuzzy拟序集上的所有L-fuzzy理想组成的集合,赋以合适的程度映射构成L-fuzzydomain,任意从L-fuzzy拟序集到L-fuzzydomain的L-fuzzy单调映射都可以扩张成为一个L-fuzzyScott连续映射。
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| 关 键 词： | L-fuzzy拟序集 L-fuzzy理想 L-fuzzy domain 理想完备化 |
| 文章编号： | 1001-7402（2006）05-0001-05 |
| 收稿时间： | 2005-09-13 |
| 修稿时间： | 2005-12-31 |
Ideal Completion of L-Fuzzy Quasi Ordered Set |
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| ZHANG Qi-ye.Ideal Completion of L-Fuzzy Quasi Ordered Set[J].Fuzzy Systems and Mathematics,2006,20(5):1-5. |
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| Authors: | ZHANG Qi-ye |
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| Institution: | 1. Department of Mathematics, Beijing University of Aeronautics and Astronauties,Beijing 100083,China; 2. LIMB of the Ministry of Education, Beijing 100083,China |
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| Abstract: | In this paper, we construct a kind of ideal completion of L-fuzzy quasi ordered set defined in 4], that is, we prove that the set of all L-fuzzy ideals on an L-fuzzy quasi ordered set with proper degree-function is an L-fuzzy domain, and any L-fuzzy monotone mapping from an L-fuzzy quasi ordered set to an L-fuzzy domain can be expanded to an L-fuzzy Scott continuous mapping. |
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| Keywords: | L-fuzzy Quasi Ordered Set L-fuzzy Ideal L-fuzzy Domain Ideal Completion |
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