| 双枝模糊集并-表现定理 |
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| 引用本文： | 刘纪芹.双枝模糊集并-表现定理[J].山东大学学报(理学版),2006,41(2):7-13. |
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| 作者姓名： | 刘纪芹 |
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| 作者单位： | 山东大学,数学与系统科学学院,山东,济南,250100;山东财政学院,统计与数理学院,山东,济南,250014 |
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| 摘 要： | 建立了双枝模糊集并-表现定理，讨论了双枝模糊集的运算性质.结果表明：双枝模糊集表现定理是单枝模糊集表现定理的一般形式，单枝模糊集表现定理是双枝模糊集表现定理的特例.
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| 关 键 词： | 模糊集合 集合套 双枝模糊集 双枝模糊集并-表现定理 |
| 文章编号： | 1671-9352（2006）02-0007-07 |
| 收稿时间： | 2005-07-20 |
| 修稿时间： | 2005-07-20 |
Union-representation theorem of both-branch fuzzy set |
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| LIU Ji-qin.Union-representation theorem of both-branch fuzzy set[J].Journal of Shandong University,2006,41(2):7-13. |
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| Authors: | LIU Ji-qin |
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| Institution: | 1. School of Math. and System Sei., Shandong Univ., Jinan 250100, Shandong, China; 2. Department of Statistics and Mathematics, Shandong Finance Institute, Jinan 250014, Shandong, China |
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| Abstract: | The union-representation theorem of both-branch fuzzy set is given, and some operational properties of both-branch fuzzy set are discussed. The results indicate that the union-representation theorem of both-branch fuzzy set is the general form of representation theorem of Zadeh fuzzy set, and the representation theorem of Zadeh fuzzy set is the special form of union-represenration theorem of both-branch fuzzy set. |
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| Keywords: | fuzzy set nest of sets both-branch fuzzy set union-representation theorem of both-branch fuzzy set |
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