Variable Substitution Method for Solving Single-Variable Term Fuzzy Relation Geometric Programming Problem and Its Application

As an extension of the fuzzy relation linear programming, geometric programming with single-variable term subject to max–min fuzzy relation equations is a nonlinear and non-convex problem. To deal with this problem, we develop the variable substitution method to find out all of the optimal solutions (if not unique). The variable substitution method is carried out by the resolution procedures with an illustrative example. In addition, the proposed method is applied to the optimization management in laboratory Peer-to-Peer network system.