Global optimization of fractional posynomial geometric programming problems under fuzziness

In this paper we consider a global optimization approach for solving fuzzy fractional posynomial geometric programming problems. The problem of concern involves positive trapezoidal fuzzy numbers in the objective function. For obtaining an optimal solution, Dinkelbach’s algorithm which achieves the optimal solution of the optimization problem by means of solving a sequence of subproblems is extended to the proposed problem. In addition, An illustrative example is included to demonstrate the correctness of the proposed solution algorithm.