An analysis of solutions for fuzzy multi-objective linear programming problem

We extend the concepts of α-Q-Effective solution and α-Effective solution to the model of multi-objective linear programming problem with fuzzy coefficient constraints. The levels of α-Q-Effective solution and α-Effective solution are uniquely determined, which fully describe the degree of solution satisfying constraints. α-Effective solution has the highest degree of constraint satisfaction among the α-Q-Effective solutions of achieving the same goal. A numerical example is given to illustrate the difference between Q-Effective solution and Effective solution in the multi-objective linear programming problem with fuzzy coefficient constraints.