MULTI-OBJECTIVE LOCATION PROBLEMS WITH VARIABLE DOMINATION STRUCTURE

Abstract

We introduce an inverse variational inequality to investigate the solutions of a multi-objective op- timization problem with respect to variable domination structure. In particular, mild conditions are established to study the relationships between nondominated solutions and the solutions of the inverse variational inequality. Applying these results, we study a mathematical model for location problems in the case that different preferences with respect to different facilities are at hand. Finally, we adjust a new version of PROMETHEE method to obtain solutions for a scalarized multi-objective location problem.