Decision of a Fuzzy Inventory with Fuzzy Backorder Model Under Cloudy Fuzzy Demand Rate

This paper deals with the classical backorder economic order quantity inventory model under cloudy fuzzy environment. The traditional concepts on fuzziness of the fuzzy parameters remains the same in all the time, but in practice, due to the human experience and precision the fuzziness began to remove from the system over time. However, we take the crisp model first, then fuzzifying the model to get a decision under the cloudy fuzzy (extension of dense fuzzy) demand rate followed by its practical application. A new defuzzification method has been utilized for ranking the fuzzy numbers. Finally, comparative analysis between the crisp, general fuzzy as well as cloudy fuzzy solutions are done extensively. The graphical illustrations and numerical examples are studied to justify the usefulness of the new approach in the model itself. © 2016, Springer India Pvt. Ltd.