This Paper Proposes two methods to solve Transportation Problem in which all the cost coefficients demands and supplies are taken as Trapezoidal Fuzzy Number and Trapezoidal Intuitionistic Fuzzy Number, without converting to classical transportation problem. We yield the initial basic feasible solution and optimal solution by conventional optimization process. The numerical example illustrates the efficiency of the proposed technique. The transportation problem is one of the earliest applications of linear programming problems. Transportation models have wide applications in logistic and supply chain for reducing the cost efficient algorithms have been developed for solving the transportation problem when the cost coefficients and the supply and demand quantities are known exactly. The occurrence of randomness and imprecision in the real world is inevitable owing to some unexpected situations. There are cases that the cost coefficients and the supply and demand quantities of a transportation problem may be uncertain due to some uncontrollable factors. In this paper proposes the method to solve dominance property consider the matrix game taken as generalized trapezoidal intuitionistic fuzzy number are ranking technique. This matrix game solved by dominance property to find the value of the game.
Keywords: Intuitionistic fuzzy set, trapezoidal fuzzy number, transportation problem, value of the game
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