Hamiden Khalifa - Operations Research Department, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, ۱۲۶۱۳, Egypt. Department of Mathematics, College of Science and Arts, Qassim University, Al-Badaya,

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.

Multiobjective assignment problem, (γ, δ) interval-valued fuzzy numbers, Signed distance ranking, Optimal fuzzy assignment, Optimal flowing approach