An Interactive Approach for Solving Fuzzy Multi-objective Assignment Problems

This paper aims to study fuzzy multi-objective assignment (F-MOAS) problem. The problem is considered by incorporating trapezoidal fuzzy numbers. Through the α- level sets, the problem under consideration is converted into the corresponding ( α- MOAS). An interactive approach to improve the weights in the Weighted Tchebysheff program is suggested. Then the stability set of the first kind without differentiability corresponding to the resulted solution is determined. A numerical example is given for illustration.