On solving fuzzy geometric programming problems

In this paper , a method is proposed to find the optimal fuzzy solution and optimal fuzzy objective value of the multi-objective geometric programing problem respect to trapezoidal fuzzy numbers . In the literature of fuzzy mathematical programming some authors have been defined a direct method to solve primal geometric programing problem and the variables on trapezoidal fuzzy numbers . In this paper, we extend this method to compute the optimal solution of fuzzy multi-objective geometric programming problem . In this way, we use ranking function to change fuzzy numbers to real numbers to compare them and then computing the optimal solution . Finally, we illustrate that we dealing with fuzzy geometric programing problem in real world scenario

Keywords:

Fuzzy Geometric Programming , Monomial Geometric Programming , Ranking Function , Trapezoidal Fuzzy numbers