a fuzzy programming approach for solving a p-center problem under uncertainty

Facility location problems have often vagueness and uncertain properties. in p-center problems, this uncertainty can be in the parameters of demand nods. firstly, in this paper, a vertex-center problem with uncertain demand nodes is considered in which the demand nodes are fuzzy and fuzzy random variables. then, new solving methods are proposed based on possibility and necessity measures, using fuzzy and fuzzy random programming, respectively. finally, a real case study in the city of tabriz in iran is presented to clarify the methods discussed in this paper. the computational results of the study indicate that these methods can be implemented for center problem with uncertain framework.