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Optimization Methods and Software Volume 30, 2015 - Issue 3
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Original Articles

Characterizing ϵ-properly efficient solutions

K. KhaledianFaculty of Mathematics and Computer Sciences, Amirkabir University of Technology, 424, Hafez Avenue, 15914Tehran, Iran
,
E. KhorramFaculty of Mathematics and Computer Sciences, Amirkabir University of Technology, 424, Hafez Avenue, 15914Tehran, IranCorrespondence[email protected]
&
B. KarimiFaculty of Industrial Engineering Department, Amirkabir University of Technology, 424, Hafez Avenue, 15914Tehran, Iran
Pages 583-593 | Received 23 Feb 2014, Accepted 09 Jul 2014, Published online: 04 Sep 2014
 
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Abstract

In this paper, new necessary and sufficient conditions for characterizing ϵ-properly efficient solutions and new necessary conditions for characterizing ϵ-(weakly) efficient solutions of multiple objective optimization problems are presented. Note that all of the provided results are established without any convexity and boundedness assumptions on the problem under consideration.

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