| 模糊Choquet-可积函数空间的凸锥结构 |
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| 引用本文： | 李艳红.模糊Choquet-可积函数空间的凸锥结构[J].模糊系统与数学,2008,22(6). |
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| 作者姓名： | 李艳红 |
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| 作者单位： | 辽东学院,师范学院数学系,辽宁,丹东,118000 |
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| 摘 要： | 在一般有限模糊测度空间上研究了非负模糊Choquet-可积函数的模糊测度表示, 进而获得了非负模糊Choquet-可积函数空间和一般模糊Choquet-可积函数空间构成凸锥的充要条件.
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| 关 键 词： | 模糊Choquet积分 凸锥 双零可加 |
Convex Cone Structure of Fuzzy Choquet-integrable Functions Spaces |
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| LI Yan-hong.Convex Cone Structure of Fuzzy Choquet-integrable Functions Spaces[J].Fuzzy Systems and Mathematics,2008,22(6). |
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| Authors: | LI Yan-hong |
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| Institution: | LI Yan-hong (Department of Mathematics,Teacher\'s College,Easten Liaoning University,D,ong 118000,China) |
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| Abstract: | On general finite fuzzy measure spaces,the expression of the fuzzy measure for non-negative fuzzy Choquet-integrable functions is studied,and a necessary and sufficient condition of non-negative fuzzy Choquet-integrable function spaces and general fuzzy Choquet-integrable functions space to constitute the convex cones is further obtained. |
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| Keywords: | Fuzzy Choquet Integrals Convex Cone Double-null Additivity |
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