| 多维函数在广义三角范数下的收敛定理 |
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| 引用本文： | 雷国梁,岳田.多维函数在广义三角范数下的收敛定理[J].湖北汽车工业学院学报,2014(4):53-57. |
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| 作者姓名： | 雷国梁 岳田 |
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| 作者单位： | 湖北汽车工业学院理学院,湖北十堰,442002 |
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| 基金项目： | 国家自然科学基金(51374199)；中央高校基本科研业务费专项资金 |
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| 摘 要： | 给出了广义T模糊测度和多维函数(T)模糊积分的定义,采用类比方法证明了多维可测函数在一维测度下对应的Eropo B定理和Riesz定理,得到了多维(T)可积函数在广义三角范数下的2个收敛定理。
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| 关 键 词： | 广义T测度 多维(T)模糊积分 依模糊测度收敛 收敛定理 |
Convergence Theorem of Multi-dimensional Function Based on Generalized Triangular Norm |
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| Lei Guoliang,Yue Tian.Convergence Theorem of Multi-dimensional Function Based on Generalized Triangular Norm[J].Journal of Hubei Automotive Industries Institute,2014(4):53-57. |
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| Authors: | Lei Guoliang Yue Tian |
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| Abstract: | The concept of generalized(T) fuzzy measure and generalized(T) fuzzy integral of multidimensional function were introduced. Eropo B theorem and Riesz theorem based on one dimensionalfuzzy measure were given by comparison and inference. The two convergence theorems of multi-dimen-sional function(T) fuzzy integral were obtained. |
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| Keywords: | generalized (T ) measure multi-dimensional (T ) fuzzy integral convergence in fuzzy measure convergence theorem |
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