Feasibility and Pareto optimality for multiobjective linear programming problems with fuzzy decision variables and fuzzy parameters

This paper considers multiobjective linear programming problems with both fuzzy parameters and fuzzy decision variables. Using the four indices for ranking two fuzzy numbers, four types of feasibility and Pareto optimality are defined and the relationships among them are examined. These concepts can be viewed as quite generalized versions of the well-known feasibility and Pareto optimality concepts, and the generalized fuzzy Pareto optimal solutions may be obtained on the basis of the simplex method of linear programming. An illustrative numerical example is also demonstrated. [In Japanese.]