| 基于模糊值Choquet积分定义集函数的S性与PGP性 |
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| 引用本文： | 李艳红.基于模糊值Choquet积分定义集函数的S性与PGP性[J].数学的实践与认识,2008,38(5):158-162. |
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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： | 针对模糊测度空间上已建立的模糊值Choquet积分,将这种积分整体看成可测空间上取值于模糊数的集函数,当模糊测度满足一般S性和PGP性时,研究了这种模糊值集函数所保持的遗传性质.
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| 关 键 词： | μ-可积 模糊数值Choquet积分 S性 PGP性 |
| 修稿时间： | 2007年9月5日 |
The S Property and PGP Property of the Sets Functions Defined by Fuzzy Valued Choquet Integrals |
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| LI Yan-hong.The S Property and PGP Property of the Sets Functions Defined by Fuzzy Valued Choquet Integrals[J].Mathematics in Practice and Theory,2008,38(5):158-162. |
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| Authors: | LI Yan-hong |
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| Abstract: | Aim at given the fuzzy valued Choquet integrals on the fuzzy measure spaces,we completely regard this kind of integrals as a set function taken fuzzy numbers on the measurable spaces.While fuzzy measure is satisfying to the S property and PGP property,the heredity of the fuzzy valued sets function is researched. |
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| Keywords: | μ-integrable fuzzy valued Choquet integrals S property PGP property |
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