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Multi-scenario Multi-objective Optimization with Applications in Engineering Design

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Multiobjective Programming and Goal Programming

Abstract

The notion of multi-scenario multi-objective optimization is proposed as a methodological framework for handling engineering design and other decision problems represented as a collection of multi-criteria optimization problems. Three specific research issues are discussed in this context, namely, the modelling of decision maker's preferences, the development of a concept of optimality, and the development of solution approaches to finding a preferred feasible solution for the overall problem. Two models of preferences that generalize the classical Pareto preference and two solution approaches to a class of multi-scenario multi-objective optimization problems are presented. Illustrative examples are included.

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© 2009 Springer-Verlag Berlin Heidelberg

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Wiecek, M.M., Blouin, V.Y., Fadel, G.M., Engau, A., Hunt, B.J., Singh, V. (2009). Multi-scenario Multi-objective Optimization with Applications in Engineering Design. In: Barichard, V., Ehrgott, M., Gandibleux, X., T'Kindt, V. (eds) Multiobjective Programming and Goal Programming. Lecture Notes in Economics and Mathematical Systems, vol 618. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85646-7_26

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