Interactive fuzzy programming using partial information on preference for multiobjective two-level linear fractional programming problems

This paper presents interactive fuzzy program mi ng for a multiobjective two-level linear fractional programming problem. In the proposed method, after determining the fuzzy goals for all the objective functions of two decision makers, the decision maker at the upper level subjectively specifies minimal satisfactory levels for all of the fuzzy goals and the decision maker at the lower level also specifies aspiration levels for all the fuzzy goals of self. A tentative solution is obtained by solving the problem with the minimal satisfactory levels and the aspiration levels, and it is evaluated by using the partial information on preferences of the decision makers. Taking into consideration an overall satisfactory balance between the two decision makers, they update some of the minimal satisfactory levels and the aspiration levels, if necessary. Finally they can derive a satisfactory solution through the proposed interactive fuzzy programming method.