数学季刊 ›› 2001, Vol. 16 ›› Issue (4): 25-29.

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广义可加Fuzzy测度的Radon-Nikodym定理

  

  1. 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
  • 收稿日期:1999-04-19 出版日期:2001-12-30 发布日期:2024-05-24
  • 作者简介:JI Ai-bing(1965-),male,native of Hengshui,Hebei,an associate professor of Hebei Medical College for Continuing Education,M.S.D.,engages in the theory of fuzzy measure.

Radon-Nikodym Theorem of Signed Additive Fuzzy Measure 

  1. 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
  • Received:1999-04-19 Online:2001-12-30 Published:2024-05-24
  • About author:JI Ai-bing(1965-),male,native of Hengshui,Hebei,an associate professor of Hebei Medical College for Continuing Education,M.S.D.,engages in the theory of fuzzy measure.

摘要: 本文在 [1 ,2 ]的基础上证明了广义可加fuzzy测度的RadonNikodym定理和Lebesgue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,  ,

Abstract: 本文在 [1 ,2 ]的基础上证明了广义可加fuzzy测度的RadonNikodym定理和Lebesgue分解定理 ,从而完善了可加fuzzy测度的理论. 

Key words:  , 广义可加fuzzy测度, 哈恩分解定理, 约当分解定理,  ,

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