| 关于拟概率测度的收敛理论 |
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| 引用本文： | 张春琴,张辉.关于拟概率测度的收敛理论[J].数学杂志,2017,37(5):999-1006. |
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| 作者姓名： | 张春琴 张辉 |
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| 作者单位： | 河北大学数学与信息科学学院, 河北保定 071002,河北大学数学与信息科学学院, 河北保定 071002 |
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| 基金项目： | Supported by National Nature Science Foundation of China (61375075); Natural Science Foundation of Hebei Province, China (A2014201166); Natural Science Foundation of Hubei University (799207217073). |
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| 摘 要： | 本文研究了拟概率空间上收敛概念之间的关系这一问题.利用类比的方法，在拟概率空间上提出了一些新的关于拟-随机变量的收敛概念并讨论了这些收敛概念之间的关系，获得了模糊测度下的收敛理论，推广了关于经典测度的收敛概念.
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| 关 键 词： | 拟概率测度 收敛理论 收敛概念 拟-随机变量 |
| 收稿时间： | 2016/9/29 0:00:00 |
| 修稿时间： | 2017/1/20 0:00:00 |
CONVERGENCE THEORY ON QUASI-PROBABILITY MEASURE |
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| ZHANG Chun-qin and ZHANG Hui.CONVERGENCE THEORY ON QUASI-PROBABILITY MEASURE[J].Journal of Mathematics,2017,37(5):999-1006. |
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| Authors: | ZHANG Chun-qin and ZHANG Hui |
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| Institution: | College of Mathematics and Information Science, Hebei University, Baoding 071002, China and College of Mathematics and Information Science, Hebei University, Baoding 071002, China |
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| Abstract: | In this paper, we investigate the relationships among the convergence concepts on quasi-probability space. By using analogy method, some new convergence concepts for quasirandom variables are proposed on quasi-probability space and the relationships among the convergence concepts are discussed. Convergence theory about fuzzy measure is obtained, and all conclusions are natural extensions of the classical convergence concepts to the case where the measure tool is fuzzy. |
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| Keywords: | quasi-probability measure convergence theory convergence concept quasirandom variables |
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