Sensitivity analysis in fuzzy number linear programming problems

被引:37
作者
Ebrahimnejad, A. [1 ]
机构
[1] Islamic Azad Univ, Qaemshahr Branch, Dept Math, Qaemshahr, Iran
关键词
Fuzzy number linear programming; Fuzzy primal and dual simplex algorithms; Ranking function; Trapezoidal fuzzy numbers; DUALITY; RANKING;
D O I
10.1016/j.mcm.2011.01.013
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, we generalize the concept of sensitivity analysis in fuzzy number linear programming (FLNP) problems by applying fuzzy simplex algorithms and using the general linear ranking functions on fuzzy numbers. The purpose of sensitivity analysis is to determine changes in the optimal solution of FNLP problem resulting from changes in the data. If the change affects the optimality of the basis, we perform primal pivots to achieve optimality by use of the fuzzy primal simplex method. Whenever the change destroys the feasibility of the optimal basis, we perform dual pivots to achieve feasibility by use of the fuzzy dual simplex method. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1878 / 1888
页数:11
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