Abstract.
Trade-off information related to Pareto optimal solutions is important in multiobjective optimization problems with conflicting objectives. Recently, the concept of trade-off directions has been introduced for convex problems. These trade-offs are characterized with the help of tangent cones. Generalized trade-off directions for nonconvex problems can be defined by replacing convex tangent cones with nonconvex contingent cones. Here we study how the convex concepts and results can be generalized into a nonconvex case. Giving up convexity naturally means that we need local instead of global analysis.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: December 2000 / Accepted: October 2001¶Published online February 14, 2002
Rights and permissions
About this article
Cite this article
Miettinen, K., Mäkelä, M. On generalized trade-off directions in nonconvex multiobjective optimization. Math. Program. 92, 141–151 (2002). https://doi.org/10.1007/s101070100282
Issue Date:
DOI: https://doi.org/10.1007/s101070100282