A saddle point characterization of efficient solutions for interval optimization problems |
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| Authors: | Debdulal Ghosh Debdas Ghosh Sushil Kumar Bhuiya Lakshmi Kanta Patra |
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| Institution: | 1.Department of Mathematics,Indian Institute of Technology Kharagpur,Kharagpur,India;2.Department of Mathematical Sciences,Indian Institute of Technology (BHU),Varanasi,India |
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| 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. |
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