Optimality, duality and saddle point criteria for a robust fractional interval-valued optimization problem with uncertain inequality constraints via convexificators

Abstract

This article focuses on optimality conditions for a robust fractional interval-valued optimization problem with uncertain inequality constraints (RNFIVP) based on convexificators. Using the tools of convexity, an example of sufficient optimality conditions is demonstrated. Robust parametric duality for (RNFIVP) is formulated and utilizing the concept of convexity, usual duality results between the primal and dual problems are investigated. Further, the equivalence between the saddle point criteria of a Lagrangian type function and a robust LU-optimal solution for (RNFIVP) with convexity is also examined.