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广义可加Fuzzy测度的Radon—Nikodym定理
引用本文:纪爱兵,陈学周.广义可加Fuzzy测度的Radon—Nikodym定理[J].数学季刊,2001,16(4):25-29.
作者姓名:纪爱兵  陈学周
作者单位:[1]河北职工医学院管理系,河北保定071000 [2]华北石油管理局外事办,河北任壬740372
摘    要:本文在1,2]的基础上证明了广义可加fuzzy测度的Radon-Nikodym定理和Lebes-gue分解定理,从而完善了可加fuzzy测度的理论。

关 键 词:广义可加fuzzy测度  哈恩分解定理  约当分解定理  模糊测度

Radon-Nikodym Theorem of Signed Additive Fuzzy Measure
JI Ai_bing ,CHEN Xue_zhou.Radon-Nikodym Theorem of Signed Additive Fuzzy Measure[J].Chinese Quarterly Journal of Mathematics,2001,16(4):25-29.
Authors:JI Ai_bing  CHEN Xue_zhou
Institution:JI Ai_bing 1,CHEN Xue_zhou 2
Abstract:This is subsequent of , by using the theory of additive fuzzy measure and signed additive fuzzy measure , we prove the Radon_Nikodym Theorem and Lebesgue decomposition Theorem of signed additive fuzzy measure.
Keywords:signed additive fuzzy measure  Radon_Nikodym Theorem  Lebesgue decomposition  Theorem
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