Multi-Objective Decision Making Problems with Variable Domination Structure

In this study, we investigate multi-objective decision making problems with respect to a variable domination structure. In order to solve such problems, we introduce two types of solutions from vector optimization problems with respect to a variable domination structure; afterward, we characterize them. These solution concepts are helpful in multi-objective decision making problems where different preferences or restrictions of objective functions for different alternatives are at hand; or where different preferences of objective functions with respect to different objective functions are assumed. These solution concepts are proposed for multi-objective location problems where there are different preferences of objective functions at each location; our results are applied for selecting a location to establish an outlet store.