Multi-Objective Bi-Level Programming Under Fuzzy Random Environment for Stone Industry Parks Location

This paper presents an optimization method for a stone industry park location planning problem considering hierarchical structure of local government and stone enterprises under fuzzy random environment. A multi-objective bi-level decision making model is established in which the unit production cost and unit transportation cost are considered as fuzzy random variables. The local government, as the leader in the hierarchy, aims to minimize both total pollution emissions and development and operating costs. The stone enterprises, as the followers in the hierarchy, regard the target only to minimize total costs. To deal with the uncertainties, the expected value operator and chance constraint method are used to transform the uncertain model into a calculable one. Finally, a case study was conducted as a practical example to demonstrate the practicality and efficiency of the proposed model.