Abstract

In today's world, we are frequently confronted with situations of unreliability and unwillingness as a result of different unmanageable components. Multiple studies have advocated the intuitionistic fuzzy (IF) delineation for material to deal with unreliability and reluctance. This paper proposes a method for solving these transportation problems using generalised trapezoidal intuitionistic fuzzy numbers, in which capacity and demand are treated as real numbers, and the cost of transportation from origin to destination is treated as a charge of product per unit using generalised trapezoidal intuitionistic fuzzy numbers. On the basis of IFN's centroid of centroids, the generalised trapezoidal intuitionistic fuzzy numbers ranking function is applied. We develop the primary basic feasible solution and the foremost solution using the traditional optimization procedure. The numerical demonstration demonstrates the efficacy of the suggested strategy. Using the ranking function of a fuzzy TP of generalised trapezoidal intuitionistic fuzzy number, a new technique is used to get the best solution. This approach expressly provides the best answer for GTrIFTP without the need for an IBFS. Finally, for the ranking function, we use a proposed GTrIFTP approach, which is demonstrated numerically.

Key words: trapezoidal intuitionistic fuzzy; intuitionistic fuzzy (IF); Centroids