An alternative approach to solve fuzzy system of equations using normalized type 2 triangular fuzzy numbers

In this paper, a new parametric approach is developed to solve a fuzzy system of equations with type 2 fuzzy uncertainties. NT2TFN are introduced as uncertain values in the fuzzy system of equations. Different properties of NT2TFN are discussed and a simplified transformed representation is developed for easy computation. The proposed transformation reduces the NT2TFN into crisp form. Further, the extension principle is discussed in presence of NT2TFN. For illustration purposes, the transformed representation of NT2TFN is used to solve four example problems. The obtained solutions of example problems are depicted numerically and shown graphically. Using the proposed method, the obtained solution is compared with the solution of other existing methods. Finally, it is observed that the proposed method possesses a good agreement with other existing approaches.