Fuzzy set application to deterministic production-order model with/without backorder

Three fuzzy inventory models are developed in this study. The first one is a fuzzy production model. In this model, the production rate and the demand rate are defined as parameters that have Pi membership functions. The fuzzy total cost is defuzzified via the center of gravity method, the fuzzy optimal production quantity is expressed and a new method is tried to be implemented. The second model is the production model with shortage that uses fuzzy inventory costs. The third and the last model developed is a fuzzy production model with fuzzy shortage quantity and fuzzy inventory costs. For last both models, fuzzy optimal order and shortage quantities are derived and numerical examples are presented. As a result, fuzzy set theory is implemented on inventory problems, that is the main purpose of the thesis, by developing various fuzzy inventory models and so it is also aimed to contribute to the literature.