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广义Sugeno模糊积分的次线性性 被引量:2

Sublinearity of Generalized Sugeno Fuzzy Integrals
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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。 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.
作者 李艳红
出处 《辽东学院学报(自然科学版)》 CAS 2010年第1期80-82,92,共4页 Journal of Eastern Liaoning University:Natural Science Edition
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 fuzzy integrals inductive operator quasi-addition quasi-multiplication K-quasi-additive fuzzy measure generalized Sugeno fuzzy integrals
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