Weakly and properly nonessential objectives in multiobjective optimization problems

Weakly and properly nonessential objectives in multiobjective optimization problems

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Article ID: iaor20102866
Volume: 36
Issue: 5
Start Page Number: 647
End Page Number: 650
Publication Date: Sep 2008
Journal: Operations Research Letters
Authors:
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.

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