A NEW APPROACH TO MULTILEVEL PROGRAMMING PROBLEM WITH MULTI- CHOICE PARAMETERS

Abstract

This article models a multilevel programming problem with multichoice parameters (MMCP) in which objective functions
are linear fractional with cost coefficients of the objective functions being multichoice parameters. The multichoice
parameters are replaced with Lagrange Interpolating polynomial by using transformation technique and the solution is
determined by fuzzy programming approach to determine a compromise or satisfactory solution of the transformed problem.
Approximating the objective functions by interpolating polynomials converts MMCP into mixed integer quadratic fractional
programming problem. Finally, an algorithm based on fuzzy programming is proposed to determine a solution which satisfies
both decision makers of problem. A numerical example is exhibited to evince the algorithm using Lingo 17.0 software.