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Poisson Process with Fuzzy Time-Dependent Intensity

  • Shunqin Li
  • Wansheng Tang
  • Chao Zhang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4114)

Abstract

By characterizing the number of events occurred in any time as a Poisson distributed random fuzzy variable, and dealing with the intensity function of Poisson process with time-dependent intensity as a fuzzy variable, the concept of a Poisson process with fuzzy time-dependent intensity is defined. And then, related to the process, several theorems on the expected value of the number of events occurred in any time and average chances of random fuzzy events are respectively discussed.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Shunqin Li
    • 1
  • Wansheng Tang
    • 1
  • Chao Zhang
    • 1
  1. 1.Institute of Systems Engineering, Tianjin University, Tianjin 300072China

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