The multiple response optimization and ranking of input parameters were productively completed by GRA to find the effect of each of it. Analysis of variance produced the higher significant factor from selected parameters with percentage of their contribution and was confirmed with an affirmation (verification) test for the obtained optimal set of factors. Thus, the hybrid GRA with Taguchi technique design provides the optimal design parameters affecting multi-performances of TFC system. | Application of taguchi grey method to evaluate the performance of energy produced by using trilateral flash cycles and low grade renewable heat