Tradeoff directions and dominance sets. (English) Zbl 1140.90313

Weidner, Petra

Tanino, Tetsuzo (ed.) et al., Multi-objective programming and goal-programming. Theory and applications. Proceeedings of the conference MOPGP’02, Nara, Japan, June 4–7, 2002. Berlin: Springer (ISBN 3-540-00653-2/pbk). Advances in Soft Computing, 275-280 (2003).

From the introduction: We provide a short survey of tradeoff concepts and present a scalarization the parameters of which allow one to calculate the tradeoffs as efficient points of the contingent cone in its optimal solution, if certain differentiability assumptions are fulfilled at this efficient point. The scalarization is based on the idea to look for vectors being efficient w.r.t. some widened dominance cone.
For the entire collection see [Zbl 1051.90003].

MSC:

90-06	Proceedings, conferences, collections, etc. pertaining to operations research and mathematical programming
90B50	Management decision making, including multiple objectives
90C29	Multi-objective and goal programming

Keywords:

multicriteria optimization problem