Posynomial geometric programming with interval fuzzy parameters

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 aswell. A pair of two-level fuzzy geometric programming is formulated to calculate the upper bound and lower bound of the objective valueinterval fuzzy geometric programming. In each fuzzy geometric programming the parameters are represented by convex fuzzy numbers. So in eachfuzzy geometric problem the derived objective value is a fuzzy number as well. Using Zadeh’s extension principle, two pair of three-level mathematical programs are formulated to calculate the upper bound and the lower bound of the objective value of fuzzy geometric programming problem.

کلیدواژه ها:

Membership function ، geometric programming ، interval fuzzy