| 关于模糊集值随机积分的一种新定义及相关性质 |
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| 引用本文： | 任爱红,;张宇飞,;樊明智.关于模糊集值随机积分的一种新定义及相关性质[J].许昌师专学报,2008(5):9-12. |
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| 作者姓名： | 任爱红 ;张宇飞 ;樊明智 |
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| 作者单位： | [1]宝鸡文理学院数学系,陕西宝鸡721013; [2]郏县成人中等专业学校,河南郏县671232; [3]许昌学院数学科学学院,河南许昌461000 |
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| 基金项目： | 宝鸡文理学院科研计划项目（ZK0687）;河南省教育厅自然科学基金项目（2008A110017） |
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| 摘 要： | 利用集值随机积分定义和水平截集方法，给出了模糊集值随机积分的一种新定义，并研究了模糊集值随机积分的鞅性和可加性．
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| 关 键 词： | 模糊集 模糊集值随机过程 模糊集值随机积分 |
Stochastic Integrals of Fuzzy Set-valued Processes and Its two Properties |
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| Institution: | REN Ai-hong, ZHANG Yu-fei , FAN Ming-zhi( 1. Department of Mathematics, Baoji University of Arts and Sciences, Baoji 721013, China ; 2. Jiaxian County Technical Secondary School, Jiaxian 467123, China ; 3. College of Mathematics and Sciences, Xuchang University, Xuchang 461000, China) |
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| Abstract: | Based on the definition of set-valued processes stochastic integrals, a new definition of stochastic integrals of fuzzy set-valued processes is offered by means of level set. Martingale property and addition property of stochastic integrals of fuzzy set-valued processes are also studied in this paper. |
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| Keywords: | fuzzy set fuzzy set-valued processes stochastic integrals of fuzzy set-valued processes |
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