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Optimality conditions for interval valued optimization problems
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DOI：10.1016/j.fss.2022.06.020.png)
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Abstract
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This work addresses constrained optimization problems in which the objective function is interval-valued while the inequality constraints functions are real-valued. Both necessary and sufficient optimality conditions are derived. They are given through the gH-gradient and the gH-directional derivative of the interval objective function. The necessary ones are of KKT-type. The sufficient conditions are of generalized convexity type. The developed theory is illustrated by means of some numerical examples. (c) 2022 Elsevier B.V. All rights reserved.
Keywords:
Interval optimization
Necessary optimality conditions
Karush-Kuhn-Tucker-type conditions
Sufficient optimality conditions
Generalized convexity
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