4.4 Article

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

期刊

FUZZY OPTIMIZATION AND DECISION MAKING
卷 12, 期 2, 页码 171-189

出版社

SPRINGER
DOI: 10.1007/s10700-012-9152-7

关键词

Fuzzy linear programming; Dual simplex method; Fuzzy trapezoidal numbers; Sensitivity analysis

资金

  1. Government of Spain [TIN2008-06872-C04-04, TIN2011-27696-C02-01]
  2. Government of Andalucia [P07-TIC02970]

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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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