| Fuuzy集合上广义Fuzzy数值测度的哈恩分解 |
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| 引用本文： | 赵芬霞,王莉琴.Fuuzy集合上广义Fuzzy数值测度的哈恩分解[J].辽宁工程技术大学学报(自然科学版),2001,20(5):623-626. |
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| 作者姓名： | 赵芬霞 王莉琴 |
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| 作者单位： | 天津商学院基础科学部 |
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| 摘 要： | 在Dan.butnriu构造的可知Fuzzy测度和张广先生建立的Fuzzy极限和Fuzzy距离理论基础，提出了一类Fuzzy集合上广义Fuzzy数值则度，广义了定义Fuzzy数值测度的正、负集，探讨了二者的关系和性质，进而得到了广义Fuzzy数值测度关于Fuzzy集合的哈恩分解存在的充要条件。
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| 关 键 词： | Fuzzy集合 广义Fuzzy数值测度 正集 负集 哈恩分解 |
| 文章编号： | 1008-0562(2001)05-0623-04 |
| 修稿时间： | 2001年3月26日 |
Hahn Decomposition of Signed Fuzzy Number-valued Measures on the Fuzzy Set |
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| ZHAO Fen-xia,WANG Li-qin.Hahn Decomposition of Signed Fuzzy Number-valued Measures on the Fuzzy Set[J].Journal of Liaoning Technical University (Natural Science Edition),2001,20(5):623-626. |
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| Authors: | ZHAO Fen-xia WANG Li-qin |
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| Abstract: | In this paper, we define a kind of signed fuzzy number-valued measures on the fuzzy set, which is based on an additive fuzzy measure introduced by Dan Butnariu and the theories of fuzzy limit and fuzzy distance of fuzzy numbers discussed by Zhang Guang-quan. Meanwhile, the positive set and the negative set of signed fuzzy number-valued measures are given, some properties of them are proved. And this makes necessary and sufficient condition being found, which is about the existence of Hahn decomposition with respect to signed fuzzy number-valued measures. |
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| Keywords: | fuzzy sets signed fuzzy number-valued measures positive set negative set hahn decomposition |
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