### Solving Multi Objective Linear Fractional Programming Problem Under Uncertainty via Robust Optimization Approach

#### Abstract

In this article, a *Multi Objective Linear Fractional Programming* (MOLFP) problem with uncertain data in the objective function and the relationship between its *Robust Counterpart* (RC) formulations is studied. We use box uncertainty set for MOLFP problem and propose an approach to derive its corresponding RC formulation by reducing it into a single objective programming problem. It is shown that the corresponding RC formulation of MOLFP problem under box uncertainty set is a *Linear Programming* (LP) problem. A numerical example is worked out to illustrate the methodology and proposed approach.

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DOI: http://dx.doi.org/10.26713%2Fjims.v11i2.976

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