While the development and application of fuzzy inventory control models of deteriorating item is one of the main concerns of researchers and practitioners, most studies done in this field till trapezoidal fuzzy numbers by using different method. In this dissertation at first, we study research done on PFN by signed distance method and graded mean representation method to defuzzify the total cost function. Fuzziness is introduced by allowing the cost components (holding cost, shortage cost, etc.), demand rate and the deterioration. In which demand increase with time and shortage are fully backlogged. Then by, comparison of developed models some theoretical and practical results are derived, and various directions are suggested for future research.
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