Cybernetics and Information Technologies
Volume 6, No 2. Sofia, 2006, Bulgarian Academy of Sciences

Reference-Neighborhood Scalarizing Problems of Multicriteria Integer Optimization

Krassimira Genova

Institute of Information Technologies, 1113 Sofia

Abstract: The purpose of this paper is to propose reference-neighborhood scalarizing problems for finding (weak) Pareto optimal solutions of multicriteria optimization problems. The decision maker (DM) provides information about his/her preferences for choice of new Pareto optimal solution with respect to the criteria values at the current solution. The current solution and the DMís local preferences set a reference-neighborhood in the Pareto optimal set of the multicriteria problem solution, and the scalarizing problems search for a new (weak) Pareto optimal solution in this area.

Keywords: scalarizing problems, multicriteria integer optimization.