A Fuzzy Flexible Linear Programming Model Based on Feasibility and Efficiency Concept of Solutions

A Fuzzy Flexible Linear Programming Model Based on Feasibility and Efficiency Concept of Solutions

Recently, Fuzzy Flexible Linear Programming (FFLP) problem is introduced by some researchers. In particular, a new concept of feasibility and efficiency for the solution of these problems in introduced. As we know, in the most suggested approaches for solving FFLP problems the optimal value of the flexible solution to be obtained in two phases. Moreover, some deficiencies is appeared in the literature such as: 1) some of the suggested solving processes need to achieve the optimal solutions by solving two parametric LP problems while the proposed algorithm in this study can obtain the optimal solution by just solving one equivalent problem. Hence, this is more comfortable for the decision makers due to it are easier for the computational task. 2) In the sensitivity analysis process by their approach, we must repeat the solving process of both problems for any changes in the parameters while in the suggested approach, we able to achieve the optimal solution in the simple way.

Recently, Fuzzy Flexible Linear Programming (FFLP) problem is introduced by some researchers. In particular, a new concept of feasibility and efficiency for the solution of these problems in introduced. As we know, in the most suggested approaches for solving FFLP problems the optimal value of the flexible solution to be obtained in two phases. Moreover, some deficiencies is appeared in the literature such as: 1) some of the suggested solving processes need to achieve the optimal solutions by solving two parametric LP problems while the proposed algorithm in this study can obtain the optimal solution by just solving one equivalent problem. Hence, this is more comfortable for the decision makers due to it are easier for the computational task. 2) In the sensitivity analysis process by their approach, we must repeat the solving process of both problems for any changes in the parameters while in the suggested approach, we able to achieve the optimal solution in the simple way.