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广义可加Fuzzy测度的Radon-Nikodym定理(英文)

Radon-Nikodym Theorem of Signed Additive Fuzzy Measure

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【Author】 JI Ai_bing 1,CHEN Xue_zhou 2 (1.Department of Management, Hebei Medical College for Continuing Education, Baoding 071000, China; 2.Foreign Affair Office, Huabei Petroleum Management Bureau, Renqiu 740372, China)

【机构】河北职工医学院管理系；华北石油管理局外事办河北保定071000；河北任丘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Lebesgue分解定理 ,从而完善了可加fuzzy测度的理论更多还原

【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.更多还原

【关键词】广义可加fuzzy测度；哈恩分解定理；约当分解定理；
【Key words】 signed additive fuzzy measure； Radon_Nikodym Theorem； Lebesgue decomposition Theorem；

【文献出处】数学季刊 ,Chinese Quarterly Journal of Mathematics , 编辑部邮箱 ,2001年04期

【分类号】O159
【下载频次】37

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