This paper suggests an algorithm to solve a three level large scale linear programming problem with fuzzy numbers, where all coefficients of the objective functions are symmetric trapezoidal fuzzy numbers. A three-level programming problem can be thought as a static version of the Stackelberg strategy. The suggested algorithm uses a linear ranking function at each level to define a crisp model which is equivalent to the fuzzy number, then all decision makers attempts to optimize its problem separately as a large scale programming problem using Dantzig andWolfe decomposition method. Therefore, we handle the optimization process through a series of sub problems that can be solved independently. Finally, a numerical example is given to clarify the main results developed in this paper.
E. Emam, O.; M. Abdo, A.; and A. Abohany, A.
"On Fuzzy Three Level Large Scale Linear Programming Problem,"
Journal of Statistics Applications & Probability: Vol. 3
, Article 2.
Available at: https://dc.naturalspublishing.com/jsap/vol3/iss3/2