Affiliations: [a] School of Science, Southwest Petroleum University, Chengdu, Sichuan, China
| [b] Department of Genenal Education, Chengdu Neusoft University, Chengdu, Sichuan, China
Abstract: Parametric sensitivity analysis is one of the most interesting research topics in linear programming with fuzzy variables (FVLP), and it is also a basic tool for studying perturbations in optimization problems, that is perturbation analysis. The focus of this paper is on two kinds of parametric linear programming with fuzzy variables (PFVLP) which can describe the behaviors of the optimal value under parametric perturbations of the objective function coefficients and the right-hand side of constraint equations in a FVLP, respectively. Firstly, for these two kinds of PFVLP, we investigate how to obtain an optimal basis of them from an optimal basis of their corresponding FVLP based on the parameters in them. Then, two algorithms are proposed to solve these two problems. Finally, two examples are illustrated to show that the PFVLP models proposed in this paper can provide more accurate and scientific suggestions for decision-makers.
Keywords: Parametric sensitivity analysis, linear programming with fuzzy variables, fuzzy primal and dual simplexalgorithms, ranking function, trapezoidal fuzzy number
