A fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problems

  • Tunjo Perić Faculty of Economics and Business, University of Zagreb
  • Zoran Babić Faculty of Economics, Business and Tourism, University of Split
  • Maid Omerović Faculty of Education, University of Travnik

Abstract

This paper presents a new approach for solving decentralized bi-level multi-objective linear fractional programming problems. The main goal was to find a simple algorithm with high confidence of decision-makers in the results. First, all the linear fractional programming models on the given set of constraints were solved separately. Next, all the linear fractional objective functions were linearized, membership functions of objective functions and decision variables controlled by decision-makers at the highest level calculated, and a fuzzy multi-objective linear programming model formed and solved as linear goal programming problem by using simplex algorithm. The efficiency of the proposed algorithm was investigated using an economic example, and the obtained results compared with those obtained using an existing method.

Author Biography

Tunjo Perić, Faculty of Economics and Business, University of Zagreb

Department for Mathematics

Published
2019-07-04
Section
CRORR Journal Regular Issue