| 拟可加测度空间上广义Sugeno积分的收敛性 |
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| 引用本文： | 王贵君,李晓萍.拟可加测度空间上广义Sugeno积分的收敛性[J].系统科学与数学,2011,31(7). |
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| 作者姓名： | 王贵君 李晓萍 |
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| 作者单位： | 1. 天津师范大学数学科学学院,天津,300387
2. 天津师范大学管理学院,天津,300387 |
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| 基金项目： | 国家自然科学基金(60974144) |
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| 摘 要： | 在拟可加测度空间上通过引入拟乘算子重新定义广义Sugeno积分,针对依拟可加测度收敛的函数列,应用诱导算子和拟乘算子的运算性质讨论和分析广义Sugeno积分的收敛性,进而获得了这种广义Sugeno积分的单调增收敛定理.
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| 关 键 词： | 诱导算子 拟乘算子 拟可加测度 广义Sugeno积分 |
CONVERGENCE OF GENERALIZED SUGENO INTEGRALS ON QUASI-ADDITIVE MEASURE SPACE |
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| WANG Guijun,LI Xiaoping.CONVERGENCE OF GENERALIZED SUGENO INTEGRALS ON QUASI-ADDITIVE MEASURE SPACE[J].Journal of Systems Science and Mathematical Sciences,2011,31(7). |
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| Authors: | WANG Guijun LI Xiaoping |
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| Institution: | WANG Guijun (School of Mathematics Science,Tianjin Normal University,Tianjin 300387) LI Xiaoping (School of Management,Tianjin 300387) |
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| Abstract: | On quasi-additive measure space,the generalized Sugeno integral is defined again by introducing the induced operator and the quasi-multiplication operator.For the sequence of measurable functions which converges in quasi-additive measure,the convergence of generalized Sugeno integrals is obtained by means of the operation of the quasi-additive and quasi-multiplication operator.Finally,the monotone increasing convergence theorem of this kind of integrals is given. |
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| Keywords: | Induced operator quasi-multiplication operator quasi-additive measure generalized Sugeno integrals |
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