| K-拟可加模糊值积分的双零渐近可加与穷竭性 |
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| 引用本文： | 于姗姗,李艳红,王贵君.K-拟可加模糊值积分的双零渐近可加与穷竭性[J].模糊系统与数学,2007,21(4):114-119. |
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| 作者姓名： | 于姗姗 李艳红 王贵君 |
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| 作者单位： | 1. 天津师范大学,数学科学学院,天津,300384
2. 辽东学院,师范学院,数学系,辽宁,丹东,118000 |
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| 基金项目： | 国家自然科学基金
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天津市教委资助项目 |
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| 摘 要： | 针对已经建立的K-拟可加模糊值积分,将这种积分整体看成可测空间上取值于模糊数值的集函数。应用其转换定理和诱导算子的性质,获得了这种模糊积分不仅具有双零渐近可加性,而且也满足穷竭性。这些特性对于描述模糊值可测函数列和模糊积分序列的收敛性具有重要的意义。
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| 关 键 词： | 诱导算子 K-拟可加模糊测度 K-拟可加模糊值积分 双零渐近可加 穷竭性 |
| 文章编号： | 1001-7402（2007）04-0114-06 |
| 收稿时间： | 2006-03-29 |
| 修稿时间： | 2006-03-29 |
Double-null Asymptotic Additivity and Exhaustivity of K-quasi-additive Fuzzy Valued Integrals |
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| YU Shan-shan,LI Yan-hong,WANG Gui-jun.Double-null Asymptotic Additivity and Exhaustivity of K-quasi-additive Fuzzy Valued Integrals[J].Fuzzy Systems and Mathematics,2007,21(4):114-119. |
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| Authors: | YU Shan-shan LI Yan-hong WANG Gui-jun |
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| Abstract: | Aiming at having established K-quasi-additive fuzzy valued integrals,we regard all of this kind of integrals as set functions being taken valued fuzzy number valued on measurable spaces.Applying the integrals transformation theorem and the properities of inductive operators,we obtain this kind of fuzzy integrals not only having double-null asymptotic additivity but also satisfying exhaustivity.These properities have very important significance for discribing the convergence of sequence of fuzzy valued measurable functions and sequence of fuzzy integral. |
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| Keywords: | Inductive Operators K-quasi-additive Fuzzy Measure K-quasi-additive Fuzzy Number Valued Integrals Double-null Asymptotic Additivity Exhaustivity |
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