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http://dx.doi.org/10.14317/jami.2011.29.5_6.1157

THE KARUSH-KUHN-TUCKER OPTIMALITY CONDITIONS IN INTERVAL-VALUED MULTIOBJECTIVE PROGRAMMING PROBLEMS  

Hosseinzade, Elham (Department of Mathematics, University of Birjand)
Hassanpour, Hassan (Department of Mathematics, University of Birjand)
Publication Information
Journal of applied mathematics & informatics / v.29, no.5_6, 2011 , pp. 1157-1165 More about this Journal
Abstract
The Karush-Kuhn-Tucker (KKT) necessary optimality conditions for nonlinear differentiable programming problems are also sufficient under suitable convexity assumptions. The KKT conditions in multiobjective programming problems with interval-valued objective and constraint functions are derived in this paper. The main contribution of this paper is to obtain the Pareto optimal solutions by resorting to the sufficient optimality condition.
Keywords
Interval-valued function; KKT optimality conditions; Pareto optimal solution;
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