A Three-Stage Model for Location Problem Under Fuzzy Environments

This study contains a three-level mathematical model with a number of suppliers in fixed locations, candidate distribution centers, and affected areas at certain points. A mixed integer nonlinear mathematical programming model is presented here for the open location problem, while a split delivery of demand is considered. In this study, a fuzzy environment is taken into account for our presented model to be in an uncertain environment. The objective is considered for cost minimization, minimization of the maximum travel time of vehicles, and minimization of demands. Finally, to this end, this study uses a fuzzy Multiple Optimal Linear Programming. To make the proposed model and solution approach applicable, numerical examples are provided.