| 广义Sugeno模糊积分的次线性性 |
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| 引用本文： | 李艳红. 广义Sugeno模糊积分的次线性性[J]. 辽东学院学报(自然科学版), 2010, 17(1): 80-82,92 |
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| 作者姓名： | 李艳红 |
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| 作者单位： | 辽东学院,师范学院数学系,辽宁,丹东,118003 |
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| 摘 要： | 在给定的K-拟可加模糊测度空间上,借助于引进新拟乘法算子""给出了广义Sugeno模糊积分定义,依据拟加法和拟乘法定义及运算性质,研究了这种广义Sugeno模糊积分的次可加性乃至次线性性,从而进一步丰富了模糊积分的理论。
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| 关 键 词： | 模糊积发 广义Sugeno模糊积分 诱导算子 拟加法 拟乘法 K-拟可加模糊测度 |
Sublinearity of Generalized Sugeno Fuzzy Integrals |
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| LI Yan-hong. Sublinearity of Generalized Sugeno Fuzzy Integrals[J]. Journal of Liaodong University(Natural Sciences), 2010, 17(1): 80-82,92 |
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| Authors: | LI Yan-hong |
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| Abstract: | In K-quasi-additive fuzzy measure spaces,the definition of generalized Sugeno fuzzy integrals was given by introducing the new quasi-multiplication operator "".By applying the definitions and operating properties of quasi-addition and quasi-multiplication,the subadditivity and sublinearity of the integral are studied,by which the fuzzy integral theory can be further enriched. |
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| Keywords: | fuzzy integrals inductive operator quasi-addition quasi-multiplication K-quasi-additive fuzzy measure generalized Sugeno fuzzy integrals |
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