Basic properties of scalarizmg functionals for multiobjective optimization
- 1 January 1977
- journal article
- research article
- Published by Taylor & Francis in Mathematische Operationsforschung und Statistik. Series Optimization
- Vol. 8 (1), 55-60
- https://doi.org/10.1080/02331937708842405
Abstract
If a partial ordering or preordering induced by a cone D defines a multi objective optimization problem, then scalarizing functionals for this problem shall posses two basic properties. D – monotonicity and D e approximation. Several ways of constructing functionals with these properties are discussed in the paper.Keywords
This publication has 2 references indexed in Scilit:
- Compromise solutions, domination structures, and Salukvadze's solutionJournal of Optimization Theory and Applications, 1974
- Constrained minimization under vector-valued criteria in finite dimensional spacesJournal of Mathematical Analysis and Applications, 1967