| L-Fuzzy Domain及其相关性质 |
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| 引用本文： | 张奇业,郑崇友.L-Fuzzy Domain及其相关性质[J].模糊系统与数学,2004,18(2):1-7. |
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| 作者姓名： | 张奇业 郑崇友 |
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| 作者单位： | 1. 北京航空航天大学,理学院,应用数学系,北京,100083
2. 首都师范大学,数学系,北京,100037 |
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| 摘 要： | 基于5]提出的L-fuzzy拟序集，引入L-fuzzy集关于L-fuzzy偏序的并，当L是完全分配格时L-fuzzy拟序集上的L-fuzzy定向集等概念，在此基础上定义L-fuzzy domain，证明它是通常Domain的模糊推广，并得到若干相关性质。
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| 关 键 词： | Domain L-fuzzy拟序集 L-fuzzy定向集 L—fuzzy Domain |
| 文章编号： | 1001-7402(2004)02-0001-07 |
| 修稿时间： | 2003年2月25日 |
L-fuzzy Domain and Its Related Properties |
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| ZHANG Qi-ye,ZHENG Chong-you.L-fuzzy Domain and Its Related Properties[J].Fuzzy Systems and Mathematics,2004,18(2):1-7. |
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| Authors: | ZHANG Qi-ye ZHENG Chong-you |
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| Institution: | ZHANG Qi-ye~1,ZHENG Chong-you~2 |
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| Abstract: | In this paper, based on L-fuzzy quasi-ordered sets advanced in 5], the concepts of the (join) of an L-fuzzy set w.r.t the L-fuzzy partial order and an L-fuzzy directed set on an L-fuzzy (quasi-ordered) set when L is a completely distributive lattice are introduced. From them L-fuzzy (domains) are defined, and it is proved that an L-fuzzy domain is a fuzzy generalization of an ordinary domain, and some properties about it are obtained. |
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| Keywords: | Domain L-fuzzy Quasi-ordered Set L-fuzzy Directed Set L-fuzzy Domain |
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