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Linear programmes with trapezoidal fuzzy numbers: a duality approach

Author

Listed:
  • Ali Ebrahimnejad
  • S.H. Nasseri

Abstract

Solving fuzzy linear programming problems have received a great deal of attention. Recently, Ganesan and Veeramani (2006) developed a new method for solving a kind of these problems involving symmetric trapezoidal fuzzy numbers without converting them to the crisp linear programming problems based on primal simplex method. But their method has no efficient when a primal basic feasible solution is not at hand. In this paper, we develop a new dual simplex algorithm to overcome this shortcoming by using the duality results which has been proposed by Nasseri and Mahdavi-Amiri (2009) and Nasseri et al. (2010). This algorithm starts with a dual basic feasible solution, but primal basic infeasible solution and walks to an optimal solution by moving among adjacent dual basic feasible solution.

Suggested Citation

  • Ali Ebrahimnejad & S.H. Nasseri, 2012. "Linear programmes with trapezoidal fuzzy numbers: a duality approach," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 13(1), pages 67-89.
    • Handle: RePEc:ids:ijores:v:13:y:2012:i:1:p:67-89
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