| 广义Fuzzy 测度的穷竭性、
序连续性和Jordan 分解 |
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| 引用本文： | 张强,蒲云,杜文.广义Fuzzy 测度的穷竭性、
序连续性和Jordan 分解[J].西南交通大学学报,1998,11(3):240-246. |
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| 作者姓名： | 张强 蒲云 杜文 |
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| 作者单位： | 西南交通大学运输工程系 |
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| 摘 要： | 证明了广义Fuzzy 测度的穷竭性和序连续性是等价的。并在零零可加条件下证明了广
义Fuzzy 测度Jo rdan 分解的存在性, 又在零可加条件下证明了Jo rdan 分解的唯一性。
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| 关 键 词： | 模糊测度 连续性 穷竭性 零零可加性 Jo rdan 分解 |
On Exhaustibility,Order Continuity and Jordan Decomposition of Signed Fuzzy Measures |
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| Zhang,Qiang,Pu,Yun,Du,Wen.On Exhaustibility,Order Continuity and Jordan Decomposition of Signed Fuzzy Measures[J].Journal of Southwest Jiaotong University,1998,11(3):240-246. |
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| Authors: | Zhang Qiang Pu Yun Du Wen |
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| Abstract: | The equivalence of exhaustibility and order continuity of signed fuzzy measure is proved.The existence of Jordan decomposition of signed measures is proved under the null null additive condition,and the uniqueness of decomposition is also proved under the null additive condition. |
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| Keywords: | fuzzy measure continuity exhaustivity null null additivity Jordan decomposition |
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