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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/1130 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/1130 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/1130 archive 351 disk0/00/00/11/17 2016-01-15 01:46:19 2021-08-27 17:09:21 2016-01-15 01:46:19 monograph show 2 Wierzbicki A.P. 7380 pub iis_met iis_sys prog_sds The paper presents a survey of known results and some new developments in the use of reference objectives -- that is, any reasonable or desirable point in the objective space -- instead of weighting coefficients in multiobjective optimization. The main conclusions are as follows: (1) Any point in the objective space -- no matter whether it is attainable or not, ideal or not -- can be used instead of weighting coefficients to derive scalarizing functions which have minima at Pareto points only. Moreover, entire basic theory of multiobjective optimization -- necessary and sufficient conditions of optimality and existence of Pareto-optimal solutions, etc. -- can be developed with the help of reference objectives instead of weighting coefficients or utility functions. (2) Reference objectives are very practical means for solving a number of problems such as Pareto-optimality testing, scanning the set of Pareto-optimal solutions, computer-man interactive solving of multiobjective problems, group assessment of solutions of multiobjective optimization or cooperative game problems, or solving dynamic multiobjective optimization problems. 1979-08 published WP-79-066 WP-79-066 1663 public working_paper IIASA, Laxenburg, Austria 32 FALSE info:eu-repo/semantics/book