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The objective of this model is to discuss the inventory model for constant demand and time dependent holding cost. Mathematical model has been developed for determining the optimal order quantity, the optimal cycle time and optimal total inventory cost in fuzzy environment. For defuzzification, graded unit preference integration method is used. Numerical examples are given to validate the proposed model. Sensitivity analysis is carried out to analyze the effect of changes in the optimal solution with respect to change in various parameters.doi:10.5281/zenodo.3977361 fatcat:l2cm2ynmyrfp5m3gewvbcf72lq