A Study on Single and Multi Objective Fuzzy Linear Fractional Programming Problems

Abstract

A fractional programming, which includes parameters, decision variables, newlineas well as an objective function in rational form subject to various types of newlineconstraints, is another mathematical way to understand the optimization newlineproblem. The fractional programming problem is a variation of the linear newlineprogramming problem where the objective function takes the form of a newlineratio and is constrained by linear constraints. newlineIt has gained importance in the recent years. Henceforth, numerous newlineresearchers in various fields use fractional programming problem. The newlineprimary motivation for fractional programming problem can be found in a newlinevariety of realistic optimization problems in which the objective functions newlineare divided of two functions that are used to get the maximum ratio actual newlinecost to standard cost, workers/salary, result/students, patients/doctors, newlinevaccinated/ medicine and inventory to sales minimization and so on where newlinethe ratio reflects the highest efficiency of a system newline