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http://dx.doi.org/10.14403/jcms.2017.30.1.31

ROBUST DUALITY FOR NONSMOOTH MULTIOBJECTIVE OPTIMIZATION PROBLEMS  

Lee, Gue Myung (Department of Applied Mathematics Pukyong National University)
Kim, Moon Hee (Department of Refrigeration Engineering Tongmyong University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.30, no.1, 2017 , pp. 31-40 More about this Journal
Abstract
In this paper, we consider a nonsmooth multiobjective robust optimization problem with more than two locally Lipschitz objective functions and locally Lipschitz constraint functions in the face of data uncertainty. We prove a nonsmooth sufficient optimality theorem for a weakly robust efficient solution of the problem. We formulate a Wolfe type dual problem for the problem, and establish duality theorems which hold between the problem and its Wolfe type dual problem.
Keywords
robust multiobjective optimization problem; optimality theorems; duality theorems;
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Times Cited By KSCI : 2  (Citation Analysis)
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