Improved ε-Constraint Method for Multiobjective Programming
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DOI: 10.1007/s10957-008-9394-2
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- JosÉ Figueira & Salvatore Greco & Matthias Ehrogott, 2005. "Multiple Criteria Decision Analysis: State of the Art Surveys," International Series in Operations Research and Management Science, Springer, number 978-0-387-23081-8, April.
- P. H. Sach, 2003. "Nearly Subconvexlike Set-Valued Maps and Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 119(2), pages 335-356, November.
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Keywords
Multiobjective programming; Scalarization; ε-Constraint method; Properly efficient solutions;All these keywords.
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