A Numerical Solution of Fully Fuzzy Distribution Problem

A new numerical approach to solution of the fuzzy distribution problem based on the direct fuzzy extension of the simplex method is developed. The fuzzy extension is based on fuzzy arithmetic rules and the method for fuzzy values comparison. In the framework of proposed approach, all parameters and variables may be fuzzy values without any additional restrictions, and the results are obtained in the fuzzy form. The \(\alpha \)-cut representation of all fuzzy parameters and variables is used and any additional assumption regarding their form is not needed. The advantages of the proposed approach are illustrated with the use of case study, where the fuzzy solution of the fuzzy distribution problem is compared with that obtained using the Monte-Carlo method.