| 双枝模糊集表现定理对偶形式 |
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| 引用本文： | 刘纪芹,郝秀梅.双枝模糊集表现定理对偶形式[J].山东大学学报(理学版),2007,42(5):9-13. |
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| 作者姓名： | 刘纪芹 郝秀梅 |
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| 作者单位： | 山东财政学院,统计与数理学院,山东,济南,250014 |
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| 摘 要： | 利用双枝模糊集的概念，提出了双枝模糊集表现定理的对偶形式，即交-表现定理．利用交-表现定理分析了双枝模糊集的运算性质，讨论了双枝模糊集并-表现定理与交-表现定理的关系．通过分析得到：双枝模糊集交-表现定理是单枝模糊集交-表现定理的一般形式，单枝模糊集交-表现定理是双枝模糊集交-表现定理的特例．
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| 关 键 词： | 数并积 集合套 双枝模糊集 双枝模糊集交-表现定理 |
| 文章编号： | 1671-9352（2007）05-0009-05 |
| 收稿时间： | 2006-09-15 |
| 修稿时间： | 2006-09-15 |
The dual form of the representation theorem of the both-branch fuzzy set |
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| LIU Ji-qin,HAO Xiu-mei.The dual form of the representation theorem of the both-branch fuzzy set[J].Journal of Shandong University,2007,42(5):9-13. |
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| Authors: | LIU Ji-qin HAO Xiu-mei |
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| Institution: | Deparanent of Statistics and Mathematics, Shandong Finance Institute, Jinan 250014, Shandong, China |
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| Abstract: | Based on the concept of the both-branch fuzzy set,the intersection-representation theorem of the both-branch fuzzy set is put forward.Based on intersection-representation theorems,the relationships between the intersection-representation theorem and the union-representation theorem of the both-branch fuzzy set are analyzed,and its operational property is discussed.The results indicate that the intersection-representation theorem of the both-branch fuzzy set is the general form of the intersection-representation theorem of the Zadeh fuzzy set,and the intersection-representation theorem of the Zadeh fuzzy set is the special form of the intersection-representation theorem of the both-branch fuzzy set. |
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| Keywords: | union-product of number nest of sets bothbranch fuzzy set intersection-representation theorem of both-branch fuzzy set |
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