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关于模糊集值随机积分的相关性质

Stochastic integrals of fuzzy set-valued processes and its properties
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摘要 本文利用模糊集值随机积分的定义,运用集值随随机积分的相关性质,研究了模糊集值随机积分的可加性,鞅性及最大值不等式性质. In this paper, using definitions of fuzzy set-valued processes stochastic integrals and properties of set-valued processes stochastic integrals, we study martingale property, addition property and the maximal inequality of stochastic integrals of fuzzy set-valued processes.
作者 任爱红
出处 《西南民族大学学报(自然科学版)》 CAS 2009年第1期41-44,共4页 Journal of Southwest Minzu University(Natural Science Edition)
基金 宝鸡文理学院科研计划项目(ZK0687)
关键词 模糊集 模糊集值鞅 模糊集值随机积分 fuzzy set fuzzy set-valued martingale stochastic integrals of fuzzy set-valued process
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参考文献5

  • 1LI S, OGURA Y, KREINOVICH V. Limit Theorems and Applications of Set-Valued and Fuzzy Sets-Valued Random Variables[M]. Kluwer Academic Publishers, 2002: 162-166.
  • 2JUNG E J AND KIM J H. On set-valued stochastic integrals, Stoch[J]. Anal Appl, 2003, 21(2): 401-418.
  • 3LI S, REN A. Representation theorem, set-valued and fuzzy set-valued Ito integral with theirmartingale properties[J]. Fuzzy Sets and Syst, 2007, 158: 949-962.
  • 4LI S, OGURA Y. A convergence theorem of fuzzy valued martingale in the extended Hausdorff Metric H∞[J]. Fuzzy Sets and Syst, 2003, 135: 391-399.
  • 5LI S, OGURA Y, PROSKE F N, PURI M L. Central Limit Theorems for Generalized Set-Valued Random Variables[J]. J Math Anal Appl, 2003, 285: 250-263.

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