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

Article type: Research Article

Authors: de Korvin, A. | Kleyle, R.^;

Affiliations: Department of Computer and Mathematical Sciences, University of Houston Downtown, Houston, TX 77002, USA | Department of Mathematical Sciences, Indiana University–Purdue University at Indianapolis, Indianapolis, IN 46202, USA

Note: [] Corresponding author. Tel.: +1 317 274 6918; Fax: +1 317 274 3460; E-mail: rkleyle@math.iupui.edu.

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

Journal: Journal of Intelligent and Fuzzy Systems, vol. 9, no. 1-2, pp. 43-51, 2000