Optimality conditions and duality in nondifferentiable interval-valued programming

Yuhua Sun, Laisheng Wang · Journal of Industrial and Management Optimization · 2012

In this paper, we define the concepts of $LU$ optimal solution to interval-valued programming problem. By considering the concepts of $LU$ optimal solution, the Fritz John type and Kuhn-Tucker type necessary and sufficient optimality conditions for nondifferentiable interval programming are derived. Further, we establish the dual problem and prove the duality theorems.

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