Abstract: Generalized scalarizing problems, called GENS and GENSLex, for obtaining Pareto optimal solutions of multicriteria optimization problems are presented in the paper. The basic properties of these scalarizing problems are described. The existence of single-criterion problems with differentiable objective functions and constraints, which are equivalent to GENS and GENSLex scalarizing problems, are pointed out.

Keywords: Multicriteria optimization, Interactive methods, Multicriteria decision support systems.

ACM Classification Keywords: H.4.2 Information Systems Applications: Types of Systems: Decision Support.

Link:

GENERALIZED SCALARIZING PROBLEMS GENS AND GENSLEX OF MULTICRITERIA OPTIMIZATION1

Mariyana Vassileva

http://www.foibg.com/ijita/vol13/ijita13-2-p02.pdf