Fractional two-stage transshipment problem under uncertainty: application of the extension principle approach

Abstract In this paper, a fuzzy fractional two-stage transshipment problem where all the parameters are represented by numbers is studied. The uses ratio of costs divided benefits as objective function. A solution method which employs extension principle used to find value problem. For purpose, decomposed into two sub-problems each them tackled individually using various $$\alpha$$ α levels obtain function and its associated membership To deal with nonlinearity Charnes–Cooper transformation embedded proposed approach. superior efficiency presented formulation examined over numerical example well case study comparing literature.