On the Parametric Decomposition Theorem in Multiobjective Optimization

An example is given to show the inadequacy of a well-known result, concerning the parametric decomposition theorem for multiobjective optimization problems. We also give an accurate decomposition theorem, which generalizes a corrected reformulation of this result.

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Bibliographic Details
Published in:Journal of optimization theory and applications 2017-09, Vol.174 (3), p.945-953
Main Authors: Cuenca Mira, José Antonio, Miguel García, Francisca
Format: Article
Language:English
Subjects:
Applications of Mathematics
Calculus of Variations and Optimal Control
Optimization
Decomposition
Engineering
Forum
Mathematical programming
Mathematics
Mathematics and Statistics
Multiple objective analysis
Operations Research/Decision Theory
Optimization
Theorems
Theory of Computation
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Description
Summary:An example is given to show the inadequacy of a well-known result, concerning the parametric decomposition theorem for multiobjective optimization problems. We also give an accurate decomposition theorem, which generalizes a corrected reformulation of this result.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-017-1118-z