Bi-criteria multi facility location problem in fuzzy environment

This paper presents a fuzzy goal programming model for locating multiple new facilities on a plane bounded by a convex polygon under the criteria: (1) minimize the sum of all the transportation costs and (2) minimize the maximum distances from the facilities to the demand points. It has also been proved that the methodology given will always give a nondominated solution. Recti-linear distances have been taken as the scenario may be thought of in an urban setting. A numerical example has been given to illustrate the solution methodology.