Scalarization for characterization of approximate strong/weak/proper efficiency in multi-objective optimization |
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| Authors: | BA Ghaznavi-ghosoni M Soleimani-damaneh |
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| Institution: | 1. Faculty of Mathematics and Computer Science , Amirkabir University of Technology , 424, Hafez Avenue, 15914 Tehran , Iran;2. School of Mathematics, Statistics and Computer Science, College of Science , University of Tehran , Enghelab Avenue, Tehran , Iran |
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| Abstract: | In this article, approximate solutions of multi-objective optimization problems are analysed. The notion of approximate solution suggested by Kutateladze is dealt with, and, utilizing different scalarization approaches, some necessary and sufficient conditions for ?-(strong, weak, proper) efficiency are provided. Almost all of the provided results are established without any convexity assumption. |
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| Keywords: | multi-objective programming ?-(strong weak proper) efficiency approximation methods scalarization techniques |
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