In this paper, an interactive approach for solving multi-level multi-objective fractional programming
(ML-MOFP) problems with fuzzy parameters is presented. The proposed interactive approach makes
an extended work of Shi and Xia (1997). In the first phase, the numerical crisp model of the ML-MOFP
problem has been developed at a confidence level without changing the fuzzy gist of the problem.
Then, the linear model for the ML-MOFP problem is formulated. In the second phase, the interactive
approach simplifies the linear multi-level multi-objective model by converting it into separate multiobjective
programming problems. Also, each separate multi-objective programming problem of the linear
model is solved by the -constraint method and the concept of satisfactoriness. Finally, illustrative examples
and comparisons with the previous approaches are utilized to evince the feasibility of the proposed
approach. |
