The Use of Reference Objectives in Multiobjective Optimization
- Andrzej P. WierzbickiAffiliated withInternational Institute for Applied Systems Analysis
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 (value) functions.
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.
- The Use of Reference Objectives in Multiobjective Optimization
- Book Title
- Multiple Criteria Decision Making Theory and Application
- Book Subtitle
- Proceedings of the Third Conference Hagen/Königswinter, West Germany, August 20–24, 1979
- pp 468-486
- Print ISBN
- Online ISBN
- Series Title
- Lecture Notes in Economics and Mathematical Systems
- Series Volume
- Series ISSN
- Springer Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- Additional Links
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