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K-拟可加集值模糊积分的扩展性质
引用本文:李艳红. K-拟可加集值模糊积分的扩展性质[J]. 东北师大学报(自然科学版), 2008, 40(4)
作者姓名:李艳红
作者单位:辽东学院师范学院数学系,辽宁,丹东,118003
摘    要:借助于诱导算子引入了K-拟加法与K-拟乘法运算,针对已经建立的K-拟可加集值模糊积分,应用其积分转换定理进一步研究了这种K-拟可加集值模糊积分的扩展性质,从而丰富了可测集值映射的模糊积分理论.

关 键 词:诱导算子  可积选择  K-拟加法  K-拟乘法  K-拟可加集值模糊积分

Some extended properties of the K-quasi-additive set-valued fuzzy integrals
LI Yan-hong. Some extended properties of the K-quasi-additive set-valued fuzzy integrals[J]. Journal of Northeast Normal University (Natural Science Edition), 2008, 40(4)
Authors:LI Yan-hong
Abstract:In this paper,K-quasi-addition and K-quasi-multiplication operations are introduced by the inductiv operator.aiming at the K-quasi-additive set-valued fuzzy integrals which has been set up,applying the transformation theorem of the integral,further will discuss some extended properties of the K-quasi-additive set-valued fuzzy integrals,thereby,the theory of the fuzzy integrals of the measurable set-value mappings has been enriched.
Keywords:inductive operator  integrable choice  K-quasi-addition  K-quasi-multiplication  K-quasiadditive set-valued fuzzy integrals
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