Poisson Process with Fuzzy Time-Dependent Intensity
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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