Generalized intuitionistic fuzzy numbers (GIFNs) a special kind intuitionistic fuzzy set on the real number set are useful to deal with ill-known quantities in fuzzy optimization problems. In this paper, we have considered a multi-objective linear fractional inventory problem with generalized intuitionistic fuzzy environment. By employing the possibility measures and expected value, the multi-objective generalized intuitionistic fuzzy linear fractional inventory model is transformed into an equivalent deterministic linear fractional programming problem. Finally, the model is illustrated with the help of numerical example, and to validate the proposed model few sensitivity analysis are also presented under different parameters.
A Multi-objective Generalized Intuitionistic Fuzzy Linear Fractional Inventory Model with Possibility and Necessity Constraints
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