This paper discusses the interval fuzzy Geometric Programming problems where the exponents of decision variables in the objective function ,the cost and the constraint coefficients, and right-hand sides are interval fuzzy data.since the parameters are interval fuzzy valued, the objective valued should be interval fuzzy as well. A pair of two-level fuzzy geometric programming is formulated to calculate the upper bound and lower bound of the objective value interval fuzzy geometric programming.in each fuzzy geometric program the parameters are represented by convex fuzzy numbers.so in each fuzzy geometric problem the derived objective value is a fuzzy number as well. Using Zadeh\\\\\\\\\\\\\\\'s extension principle [10.11],a pair of three-level mathematical programs is formulated to calculate the upper bound and the lower bound of the objective values of fuzzy geometric problem.

Keywords