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Using fuzzy places and hypertokens to reduce the number of states in stochastic Petri nets.

de Korvin, A.; Kleyle, R.

In: Journal of Intelligent and Fuzzy Systems, Vol. 9, No. 1-2, pages 43-51. 2000.

Abstract: A difficulty often encountered when using the Petri net approach to stochastic modeling is the proliferation in the number of states in the associated Markov chain. This paper presents a solution to this proliferation problem by introducing the concept of a fuzzy stochastic Petri net. The paper then focuses on the problem of finding the stationary probability of reaching some selected output nodes, starting from selected input models when using a fuzzy set approach to modeling with stochastic Petri nets.

Keywords: fuzzy places, fuzzy stochastic Petri nets, hypertokens, stochastic modeling.

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