| 区间值Fuzzy测度的两种扩张与比较 |
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| 引用本文： | 王贵君. 区间值Fuzzy测度的两种扩张与比较[J]. 东北师大学报(自然科学版), 1999, 0(1) |
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| 作者姓名： | 王贵君 |
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| 作者单位： | 通化师范学院数学系 |
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| 基金项目： | 吉林省教委高校科研基金 |
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| 摘 要： | 引进区间值Ｆｕｚｙ测度和区间值泛函的概念，针对Ｓｕｇｅｎｏ的Ｆｕｚｙ积分和区间值泛函，分别把区间值Ｆｕｚｙ测度扩张到可测区间值Ｆｕｚｙ集空间上，并在这两种扩张意义下，研究扩张的区间值Ｆｕｚｙ测度的关系．
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| 关 键 词： | 区间值Fuzzy测度；区间值泛函；可测区间值Fuzzy集；μ－可积；扩张 |
Two Kinds of Extensions and Comparisions with Respect to the Interval Valued Fuzzy Measures |
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| Wang Guijun. Two Kinds of Extensions and Comparisions with Respect to the Interval Valued Fuzzy Measures[J]. Journal of Northeast Normal University (Natural Science Edition), 1999, 0(1) |
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| Authors: | Wang Guijun |
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| Abstract: | In this paper, the concepts of the interval valued Fuzzy measures and the interval valued functionals are introduced, and the interval valued Fuzzy measures are extended to the space of the measurable interval valued Fuzzy sets respectively with respect to Sugeno's Fuzzy integrals and the interval valued functionals. Finally, in the sense of the two kinds of extensons, the relatons between the extended interval valued Fuzzy measures are studied. |
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