In the solution process, fuzzy goal programming approach is used to solve problem by minimizing negative deviational variables. linear membership functions at the individual best solution point by first order Taylor series. The fractional membership functions are then transformed into equivalent. In the model formulation of the problem, we construct the fractional membership functions by determining the optimal solution of the objective functions subject to the system constraints. This paper deals with priority based fuzzy goal programming approach for solving multi-objective linear fractional programming problem. Numerical example is provided to illustrate the approach. A preferred solution is then defined for minimizes the deviations from the set of goals. Then FGP approach requires the leader to set goals for each objective that he/she wishes to attain. Thus the membership function for vector of fuzzy goals of the decision variables controlled by the leader. In this approach, the membership function for the defined fuzzy goals of all objective functions of DMs at the two levels was developed first in the model formulation of the problem. This problem can be solved using fuzzy goal programming (FGP) approach. In this paper, we discussed the special case of this problem with single decision maker at the upper level and multiple decision makers at the lower level.
Bilevel multiobjective programming problems are mathematical programming that solves the problem of planning with two decision makers (DM) in two level or hierarchical organization with the objective function of each organization can be more than one.
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