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Optimality and duality in non-differentiable interval valued multiobjective programming

Author

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  • Izhar Ahmad
  • Deepak Singh
  • Bilal Ahmad Dar

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.

Suggested Citation

  • Izhar Ahmad & Deepak Singh & Bilal Ahmad Dar, 2017. "Optimality and duality in non-differentiable interval valued multiobjective programming," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 11(3), pages 332-356.
    • Handle: RePEc:ids:ijmore:v:11:y:2017:i:3:p:332-356
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    Cited by:

    1. Savin Treanţă & Priyanka Mishra & Balendu Bhooshan Upadhyay, 2022. "Minty Variational Principle for Nonsmooth Interval-Valued Vector Optimization Problems on Hadamard Manifolds," Mathematics, MDPI, vol. 10(3), pages 1-15, February.

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