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Weakly and properly nonessential objectives in multiobjective optimization problems |
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| Authors: | Agnieszka B Malinowska |
| Institution: | aFaculty of Computer Science, Technical University of Białystok, 15-351 Białystok, Poland |
| Abstract: | In this work we characterize objective functions which do not change the set of efficient solutions (weakly efficient solutions, properly efficient solutions). Necessary and sufficient conditions for an objective function to be weakly nonessential (properly nonessential) are presented. We establish relations between weakly nonessential, properly nonessential and nonessential functions. |
| Keywords: | Multiobjective optimization problems Efficient (Pareto optimal) solutions Weakly efficient solutions Properly efficient solutions Nonessential objective functions |
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