| Nonadditive Set Functions Defined by Aumann Fuzzy Integrals |
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| 作者姓名： | 刘彦奎 刘宝碇 |
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| 作者单位： | DepartmentofMathematicalSciences,TsinghuaUniversity,Beijing100084,China |
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| 基金项目： | Supported by the National Natural Science Foundationof China ( No. 6 0 1740 49) and Sino- French JointL aboratory for Research in Com puter Science,Controland Applied Mathem atics ( L IAMA) |
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| 摘 要： | A novel concept, called nonadditive set-valued measure, is first defined as a monotone and continuous set function. Then the interconnections between nonadditive set-valued measure and the additive set-valued measure as well as the fuzzy measure are discussed. Finally, an approach to construct a nonadditive compact set-valued measure is presented via Aumann fuzzy integral.
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| 关 键 词： | 非相加集函数 模糊测度 Aumann模糊积分 集价值测度 |
Nonadditive Set Functions Defined by Aumann Fuzzy Integrals |
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| LIU Yankui,LIU Baoding.Nonadditive Set Functions Defined by Aumann Fuzzy Integrals[J].Tsinghua Science and Technology,2003,8(1):37-42. |
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| Authors: | LIU Yankui LIU Baoding |
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| Institution: | LIU Yankui,LIU Baoding **Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China |
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| Abstract: | A novel concept, called nonadditive set-valued measure, is first defined as a monotone and continuous set function. Then the interconnections between nonadditive set-valued measure and the additive set-valued measure as well as the fuzzy measure are discussed. Finally, an approach to construct a nonadditive compact set-valued measure is presented via Aumann fuzzy integral. |
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| Keywords: | fuzzy measure nonadditive set-valued measure Aumann fuzzy integral |
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