Convergence in graph for fuzzy valued martingales and smartingales

  • Shoumei Li
  • Yukio Ogura
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 87)


In this paper, we introduce the concept of convergence in graph for fuzzy-valued random variables, give an equivalent definition and then obtain convergence theorems for fuzzy-valued martingales, submartingales and supermartingales based on the results of our previous papers (Li and Ogura, 1996, 1998, 1999).


Banach Space Conditional Expectation Strong Topology Fuzzy Random Variable Hausdorff Convergence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Shoumei Li
    • 1
  • Yukio Ogura
    • 2
  1. 1.Department of Applied MathematicsBeijing Polytechnic UniversityChao Yang District, BeijingP. R. China
  2. 2.Department of MathematicsSaga UniversitySagaJapan

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