| 不确定变量序列依测度收敛研究 |
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| 引用本文： | 郭艳,朱建青,袁野.不确定变量序列依测度收敛研究[J].郑州大学学报(自然科学版),2014(3):28-31. |
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| 作者姓名： | 郭艳 朱建青 袁野 |
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| 作者单位： | 苏州科技学院数理学院,江苏苏州215009 |
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| 基金项目： | 基金项目：江苏省普通高校研究生科研项目,编号CXLX12_0864;苏州科技学院研究生科研项目,编号SKCX12S_041. |
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| 摘 要： | 在不确定理论中,已经给出了不确定变量依测度收敛的定义且探究了与其他收敛的关系.主要研究一些不确定变量依测度收敛的性质,探究了不确定变量序列依测度收敛的充要条件,即不确定变量序列依测度收敛当且仅当不确定变量序列是依测度基本列.
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| 关 键 词： | 不确定测度 不确定变量 依测度收敛 依测度基本列 |
Research of Convergence in Measure for Uncertain Sequences |
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| SUN Ai-hui,FU Jun,LI Chun-xiang,WU Xiu-lan,. College of Mathematics,Jilin Normal University,Siping,China ;,. Jilin Provincial Experimental Middle School,Changchun,China GUO Yan,ZHU Jian-qing,YUAN Ye.Research of Convergence in Measure for Uncertain Sequences[J].Journal of Zhengzhou University (Natural Science),2014(3):28-31. |
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| Authors: | SUN Ai-hui FU Jun LI Chun-xiang WU Xiu-lan College of Mathematics Jilin Normal University Siping China ; Jilin Provincial Experimental Middle School Changchun China GUO Yan ZHU Jian-qing YUAN Ye |
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| Institution: | ( School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, China) |
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| Abstract: | In uncertainty theory, the concept of convergence in measure for uncertain sequences had been built and the relations between convergence in measure and other convergences had been discussed. Some mathematical properties of convergence in measure were proved. A necessary and sufficient condition of convergence in measure for uncertain sequences was presented, namely, an uncertain sequence converged in measure if and only if it was a Cauchy sequence in measure. |
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| Keywords: | uncertain measure uncertain variable convergence in measure Cauchy sequence in measlife |
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