Abstract
After a short survey on classical dual LVOPs and their respective Vector Lagrangians, relations between dual LEXOPT-problems and their Lagrangian are developed. A discussion of parameters and variables in all duality concepts shows that the free choice of the objectives’ dimensions is partly ficticious. If a group of decisionmakers accepts equality of all primal and dual objectives as common sense, their decisions with respect to objectives and supply of ressources are no longer arbitrary. A rudimentary decision support system is given.
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© 1987 Springer-Verlag Berlin Heidelberg
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Rödder, W. (1987). Duality and Decision Support for LVOPs. In: Sawaragi, Y., Inoue, K., Nakayama, H. (eds) Toward Interactive and Intelligent Decision Support Systems. Lecture Notes in Economics and Mathematical Systems, vol 285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46607-6_41
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DOI: https://doi.org/10.1007/978-3-642-46607-6_41
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-17718-0
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