In this paper, we have developed a multi-objective inventory model with constant demand rate, under the limitation on storage of space. Production cost is considered in demand dependent and the deterioration cost is considered in average inventory level dependent. Also inventory holding cost is dependent on time. Due to uncertainty, all cost parameters are taken as generalized trapezoidal fuzzy number. Our proposed model is solved by both neutrosophic hesitant fuzzy programing approach and fuzzy non-linear programming technique. Numerical example has been given to illustrate the model. Finally sensitivity analysis has been presented graphically.