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Radon-Nikodym Theorem of Signed Additive Fuzzy Measure
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作者 纪爱兵 陈学周 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第4期25-29,共5页
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.
关键词 signed additive fuzzy measure Radon_Nikodym Theorem Lebesgue decomposition Theorem
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Decompositions of Revised Monotone Signed Fuzzy Measures
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作者 张强 刘克 《Tsinghua Science and Technology》 SCIE EI CAS 2003年第1期60-64,共5页
The concept of fuzzy measure was introduced by Sugeno in 1974. A notion of signed fuzzy measure is introduced in this paper, and its elementary properties are briefly discussed. An analogue of Hahn decomposition theo... The concept of fuzzy measure was introduced by Sugeno in 1974. A notion of signed fuzzy measure is introduced in this paper, and its elementary properties are briefly discussed. An analogue of Hahn decomposition theorem is established under the null-null-additive condition. A version of the Jordan decomposition theorem is proved under the null-additive condition. 展开更多
关键词 signed fuzzy measure null-additivity null-null-additivity Hahn decomposition Jordan decomposition
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Signed Additive Fuzzy Measure
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作者 纪爱兵 《Chinese Quarterly Journal of Mathematics》 CSCD 2000年第4期43-48,共6页
In this paper, we introduce the concept of signed additive fuzzy measure on a class of fuzzy sets, then, on certain condition, a series of decomposition theorems of signed additive fuzzy measure are proved.
关键词 generated fuzzy σ-algebra signed additive fuzzy measure Hahn decomposition theorem Jordan decomposition theo
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