Poisson process with fuzzy time-dependent intensity

Authors:
Shunqin Li;Wansheng Tang;Chao Zhang
Affiliations:
Institute of Systems Engineering, Tianjin University, Tianjin, China;Institute of Systems Engineering, Tianjin University, Tianjin, China;Institute of Systems Engineering, Tianjin University, Tianjin, China
Venue:
ICIC'06 Proceedings of the 2006 international conference on Intelligent computing: Part II
Year:
2006

Citing 4
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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.