Optimality and duality in non-differentiable interval valued multiobjective programming Online publication date: Wed, 11-Oct-2017
by Izhar Ahmad; Deepak Singh; Bilal Ahmad Dar
International Journal of Mathematics in Operational Research (IJMOR), Vol. 11, No. 3, 2017
Abstract: In this paper, Fritz-John and Kuhn-Tucker type necessary and sufficient conditions for a non-differentiable interval valued multiobjective optimisation model are established. LU-convexity of interval valued functions is utilised to obtain interval efficient solution for the given problem. Moreover, weak, strong and strict converse duality theorems for Wolfe and Mond-Weir type duals are obtained in order to relate the interval efficient solution of primal and dual problems.
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