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The dual simplex method and sensitivity analysis for fuzzy linear programming with symmetric trapezoidal numbers

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Abstract

In this paper, we first extend the dual simplex method to a type of fuzzy linear programming problem involving symmetric trapezoidal fuzzy numbers. The results obtained lead to a solution for fuzzy linear programming problems that does not require their conversion into crisp linear programming problems. We then study the ranges of values we can achieve so that when changes to the data of the problem are introduced, the fuzzy optimal solution remains invariant. Finally, we obtain the optimal value function with fuzzy coefficients in each case, and the results are described by means of numerical examples.

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Authors and Affiliations

  1. Department of Mathematics, Azarbaijan University of Tarbiat Moallem, Tabriz, I.R. Iran

    Behrouz Kheirfam

  2. Department of Computer Science and A.I. CITIC, Universidad de Granada, 18071, Granada, Spain

    José-Luis Verdegay

Authors
  1. Behrouz Kheirfam
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  2. José-Luis Verdegay
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Correspondence to José-Luis Verdegay.

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Kheirfam, B., Verdegay, JL. The dual simplex method and sensitivity analysis for fuzzy linear programming with symmetric trapezoidal numbers. Fuzzy Optim Decis Making 12, 171–189 (2013). https://doi.org/10.1007/s10700-012-9152-7

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  • DOI: https://doi.org/10.1007/s10700-012-9152-7

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