Abstract: In this study, a multi-item and multi-objective production inventory model of deteriorating items with constant and stock dependent demands under shortage is developed in crisp and fuzzy environment with finite time horizon, respectively. The total holding cost and the total shortage cost are limited and the rate of production is finite and uniform. Our objectives are maximizing the profit and minimizing the wastage cost. In fuzzy model the above said objectives are fuzzy in nature. The allowable total shortage cost and total holding cost are also, assumed to be vague and imprecise. The impreciseness in the above objectives and constraints goals have been expressed by fuzzy linear membership functions. Here, crisp and fuzzy models are developed and solved by the Weighted Fuzzy Non-linear Programming (WFNLP), Fuzzy Additive Goal Programming (FAGP) and integrated goal attainment and fuzzy non-linear programming technique (GAFNLP). The models are illustrated with numerical examples and the results of different techniques are compared.