| K-拟可加模糊积分的一致自连续性 |
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| 引用本文： | 赵建红,王贵君.K-拟可加模糊积分的一致自连续性[J].松辽学刊,2005,26(3):68-71. |
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| 作者姓名： | 赵建红 王贵君 |
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| 作者单位： | [1]通化师范学院数学系,吉林通化134002 [2]天津师范大学数学科学学院,天津300074 |
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| 基金项目： | 天津市高校科技发展基金项目资助（20031410） |
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| 摘 要： | K-拟可加模糊积分定义和其积分转换定理的基础上,针对某一确定的非负实值可测函数,将这种积分整体看成可测空间上的集函数,进而讨论这种积分的一致自连续性和一致逆自连续性.
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| 关 键 词： | 诱导算子 K-拟可加模糊积分 积分转换定理 一致自连续 一致伪自连续 |
| 文章编号： | 1000-1840-（2005）03-0068-04 |
| 收稿时间： | 2005-04-14 |
| 修稿时间： | 2005年4月14日 |
The Uniformly Autocontinuity of K-quasi-additive Fuzzy Integrals |
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| ZHAO Jian-hong, WANG Gui-jun.The Uniformly Autocontinuity of K-quasi-additive Fuzzy Integrals[J].Songliao Journal (Natural Science Edition),2005,26(3):68-71. |
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| Authors: | ZHAO Jian-hong WANG Gui-jun |
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| Institution: | 1. Department of Mathematics, Tonghua Teachers' College, Tonghua 164002, China; 2. Institute of Mathematics Science, Tianjin Normal University, Tianjin 300074, China |
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| Abstract: | On the basis of the K- quasi- additive fuzzy measure spaces and the being established integrals transformation theorem,aim at a certainintegrable nonnegative measurable real function, and look all of this kind of integrals as set functions on the measureable spaces, discuss their uniformly autocontinuity and uniformly converse- autocontinuity etc.. |
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| Keywords: | Induced operators K - quasi - additive fuzzy integrals integrals transformation theorem uniformly autocontinuity uniformly converse - autocontinuity |
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