| Fuzzy测度的绝对连续性及扩张 |
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| 引用本文： | 王震源.Fuzzy测度的绝对连续性及扩张[J].河北大学学报(自然科学版),1989(1). |
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| 作者姓名： | 王震源 |
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| 作者单位： | 河北大学数学系 |
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| 摘 要： | 要建立定义在环上的Fuzzy测度(或更广泛一些的非可加测度)的一般扩张理论是困难的。迄今为止,有关的讨论都局限于某些特殊类型的Fuzzy测度(非可加测度)。在本文中,我们也仅研究一类特殊的Fuzzy测度的扩张,给出它们能从一个代数扩张到包含这个代数的σ-代数上去的条件。
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| 关 键 词： | 测度 Fuzzy测度 集函数的扩张 |
Absolute Continuity and Extension of Fuzzy Measures |
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| Wang Zhcnyuan.Absolute Continuity and Extension of Fuzzy Measures[J].Journal of Hebei University (Natural Science Edition),1989(1). |
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| Authors: | Wang Zhcnyuan |
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| Institution: | Department of Mathematics |
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| Abstract: | It is difficult to establish a general extension theory for fuzzy measures defined on a ring. In this paper, we shall discuss the extension problem for a special class of fuzzy measures, and give a condition that they can be extended from an algebra onto a 6-algebra containing it. |
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| Keywords: | Measure Fuzzy measure Extension of set function |
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