| K-拟可加模糊数值积分及其收敛性 |
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| 引用本文： | 王贵君,李晓萍.K-拟可加模糊数值积分及其收敛性[J].数学进展,2006,35(1):109-119. |
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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. 天津师范大学管理学院,天津,300074 |
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| 基金项目： | Supported by the National Natural Science Foundation of china(No. 70571056). |
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| 摘 要： | 在K-拟可加模糊测度空间上,针对一类(?)-可积模糊数值函数,建立了所谓的K-拟可加模糊数值积分,并通过引入诱导算子K,获得这种积分的转换定理,进而研究这种K-拟可加模糊数值积分的一些重要性质,同时给出了它的一系列收敛定理,从而丰富了模糊数学的积分理论。
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| 关 键 词： | 诱导算子 K-拟可加模糊测度 μ-可积 K-拟可加模糊数值积分 积分转换定理 |
| 文章编号： | 1000-0917（2006）01-0109-11 |
| 收稿时间： | 2003-03-26 |
| 修稿时间： | 2003年3月26日 |
K-quasi-additive Fuzzy Number Valued Integral and Its Convergence |
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| WANG Gui-jun,LI Xiao-ping.K-quasi-additive Fuzzy Number Valued Integral and Its Convergence[J].Advances in Mathematics,2006,35(1):109-119. |
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| Authors: | WANG Gui-jun LI Xiao-ping |
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| Institution: | i. School of Mathematics Science, Tianjin Normal University, Tianjin, 300074, P. R. China; 2. School of Management, Tianjin Normal University, Tianjin, 300074, P. R. China |
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| Abstract: | On the K-quasi-additive fuzzy measures space, aim at a kind of u-integrable fuzzy number valued functions, we establish the K-quasi-additive fuzzy number valued integral in this paper, and obtain the integral transformation theorem by introducing inductive operator K. Applying this theorem, we study some important basic properties with respect to the K-quasi-additive fuzzy number valued integral. And then, we give a series of convergence theorems etc. about them. Consequently, the theory of the fuzzy integral with respect to fuzzy mathematics are riched. |
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| Keywords: | inductive operators K-quasi-additive fuzzy measures (?)-integrable Kquasi-additive fuzzy number valued integral integral transformation theorem |
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