Geometric programming with trapezoidal fuzzy variables

The geometric programming is created by the author with trapezoidal fuzzy variables, and then regards the sets of variables as a fuzzy platform. For the determinacy programming to be changed from a fuzzy model, depending on the platform index T, the variables should be non-fuzzyfied for the determined platform indexes. The prototype geometric programming is also studied with the trapezoidal fuzzy variables and its dual form, which shows the proof of the first and second dual theorems in this polynomial geometric programming. The effectiveness of the determinacy method is tested by a numerical example.