Journal
FUZZY OPTIMIZATION AND DECISION MAKING
Volume 12, Issue 2, Pages 171-189Publisher
SPRINGER
DOI: 10.1007/s10700-012-9152-7
Keywords
Fuzzy linear programming; Dual simplex method; Fuzzy trapezoidal numbers; Sensitivity analysis
Funding
- Government of Spain [TIN2008-06872-C04-04, TIN2011-27696-C02-01]
- 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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