Optimality and duality in non-differentiable interval valued multiobjective programming

Izhar Ahmad, Deepak Singh and Bilal Ahmad Dar

International Journal of Mathematics in Operational Research, 2017, vol. 11, issue 3, 332-356

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.

Keywords: interval valued functions; interval efficient solutions; optimality conditions; duality; LU -convexity. (search for similar items in EconPapers)
Date: 2017
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