multiobjective assignment problem, (γ, δ) interval-valued fuzzy numbers, signed distance ranking, optimal fuzzy assignment, optimal flowing approach, Industrial engineering. Management engineering, T55.4-60.8

In this paper, a multi-objective assignment problem with fuzzy parameters (FMOASP) is introduced. These fuzzy parameters are characterized by an interval-valued fuzzy numbers instead of fuzzy numbers. The signed distance ranking of interval- valued fuzzy numbers of the parameters are not random but bear well-defined relationship to one another. A new approach namely, optimal flowing method is proposed to obtain the ideal and the set of all fuzzy efficient solutions for the problem. A numerical example is given to demonstrate the computational efficiency of the proposed approach.