On Fuzzy Linear Fractional Programming Problems via α-Cut-Based Method with Application in Transportation Sector

The article provides an α-cut-based method that solves linear fractional programming problems with fuzzy variables and unrestricted parameters. parameters are considered as asymmetric triangular numbers, which is a generalization of the symmetric case. problem solved by using α-cut numbers wherein α- r-cut applied to objective function constraints, respectively. This reduces into equivalent biobjective model leads upper lower bounds given problem. Afterwards, membership functions corresponding various values r∈(0,1] obtained optimal model. proposed illustrated taking example from literature highlight fallacy existing approach. Finally, transportation modelled aforementioned technique.