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Parametric Analysis in Fuzzy Number Linear Programming Problems
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DOI：10.1007/s40815-015-0123-3.png)
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Abstract
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This paper describes parametric analysis in fuzzy number linear programming (FNLP) when the objective function coefficients and/or the right-hand-side constants are parameterized. Using a linear ranking function, we consider the problem variations. In fact, we find a range set of the parameters for which a given basis remains optimal for the FNLP problem. If the perturbation destroys optimality and/or feasibility of the optimal basis, we use of the fuzzy primal simplex method, the fuzzy dual simplex method, and/or our proposed fuzzy primal-dual simplex method to find the new optimal basis. Finally, by numerical examples we demonstrate the computational procedure.
Keywords:
Parametric analysis
Fuzzy number linear programming
Fuzzy primal and dual simplex algorithms
Ranking function
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