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A saddle point characterization of efficient solutions for interval optimization problems

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In this article, we attempt to characterize efficient solutions of constrained interval optimization problems. Towards this aim, at first, we study a scalarization characterization to capture efficient solutions. Then, with… Click to show full abstract

In this article, we attempt to characterize efficient solutions of constrained interval optimization problems. Towards this aim, at first, we study a scalarization characterization to capture efficient solutions. Then, with the help of saddle point of a newly introduced Lagrangian function, we investigate efficient solutions of an interval optimization problem. Several parts of the results are supported with numerical and pictorial illustration.

Keywords: saddle point; efficient solutions; solutions interval; interval optimization; optimization problems

Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2018

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