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, 0(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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Affiliation: | 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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