Introduction to Multiobjective Optimization: Interactive Approaches

Authors:
Kaisa Miettinen;Francisco Ruiz;Andrzej P. Wierzbicki
Affiliations:
Department of Mathematical Information Technology, University of Jyväskylä, Finland FI-40014;Department of Applied Economics (Mathematics), University of Málaga, Málaga, Spain E-29071;21st Century COE Program: Technology Creation Based on Knowledge Science, JAIST (Japan Advanced Institute of Science and Technology), Nomi, Ishikawa, Japan 923-1292 and National Institute of Telec ...
Venue:
Multiobjective Optimization
Year:
2008

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Abstract

We give an overview of interactive methods developed for solving nonlinear multiobjective optimization problems. In interactive methods, a decision maker plays an important part and the idea is to support her/him in the search for the most preferred solution. In interactive methods, steps of an iterative solution algorithm are repeated and the decision maker progressively provides preference information so that the most preferred solution can be found. We identify three types of specifying preference information in interactive methods and give some examples of methods representing each type. The types are methods based on trade-off information, reference points and classification of objective functions.