| K-拟可加模糊数值积分的自连续性 |
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| 引用本文： | 王贵君,李晓萍.K-拟可加模糊数值积分的自连续性[J].数学杂志,2006,26(6):635-641. |
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| 作者姓名： | 王贵君 李晓萍 |
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| 作者单位： | 1. 天津师范大学数学科学学院,天津,300074
2. 天津理工大学理学院,天津,300191 |
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| 基金项目： | 国家自然科学基金项目(70571056)，天津市高校科技发展基金项目(20031410). |
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| 摘 要： | 本文在K-拟可加模糊测度空间上建立了K-拟可加模糊数值积分,利用其积分转换定理和诱导算子的性质,将这种积分整体看成可测空间上取值于模糊值和集函数,从而使得这种模糊积分不仅具有自连续性,而且也满足逆自连续性。这些特性能更好地描述模糊值可测函数列和K-拟可加模糊数值积分序列的收敛性。
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| 关 键 词： | 上(下)自连续 逆下(上)自连续 ^μ-可积 K-拟可加模糊数值积分 积分转换定理 |
| 文章编号： | 0255-7797（2006）06-0635-07 |
| 收稿时间： | 2004-02-24 |
| 修稿时间： | 2004-02-242005-01-24 |
AUTOCONTINUITY OF K-QUASI-ADDITIVE FUZZY NUMBER VALUED INTEGRALS |
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| WANG Gui-jun,LI Xiao-ping.AUTOCONTINUITY OF K-QUASI-ADDITIVE FUZZY NUMBER VALUED INTEGRALS[J].Journal of Mathematics,2006,26(6):635-641. |
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| Authors: | WANG Gui-jun LI Xiao-ping |
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| Institution: | 1. College of Math. Science, Tianjin Normal University, Tianjin 300074,China;2. School of Science, Tianjin University of Science and Technology, Tianjin 300191, China |
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| Abstract: | In this paper, we establish the K-quasi-additive fuzzy number valued integrals on the K-quasi-additive fuzzy measure space, and applying the integral transformation theorem, regard the whole kind of integrals as a set functions taking valued fuzzy numbers on the measurable spaces, which makes this kind of fuzzy integrals possess not only autocontinuity but also converse-autocontinuity. These characteristics can be used well to describe the convergence properties of sequences of fuzzy valued measurable functions and K-quasi-additive fuzzy number valued integrals. |
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| Keywords: | Autocontinuity from above(below) converse autocontinuity from below(above) -integrable K-quasi-additive fuzzy number valued integrals integrals transformation theorem |
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