Three different approaches to solving the problem of multicriteria fractional linear programming

Sead Rešić

Faculty of Science, Department of mathematics, University of Tuzla

Univerzitetska 4, Bosnia and Herzegovina


Husnija Bibuljica

Faculty of Economics, International University Travnik” Travnik,Bosnia and Hercegovina

E-mail: husnija.bibuljica

Arnes Z. Hadžiomerović

Second Gymnasium Mostar

USRC “Midhad Hujdur Hujka” bb, Mostar, Bosnia and Herzegovina



In this paper, we propose a new approach to target programming based the linearization fractured linear target functions for problem solving fuzzy multiple criteria fractured linear programming. By the proposed method, decision makers need to give the information to the relative importance of target function. The applicability of the proposed method has been tested on the example of the financial structure optimization of a company. The results show the advantages of the proposed methodology in comparison with existing methods: (a) The methodology is simple for analysts as well as for decision-makers, and (b) the decision makers can determine the weight of the target function, and thereby the resulting solutions will reflect the preferences of decision-makers.

Keywords: Multicriteria, linear fractional, targeted programming.

  1. Introduction

In some economic problems, goals may be more appropriately expressed as a ratio of two economic magnitudes. Economic problems presented in this way can better reflect the quality of business results. Also, the goals expressed in this way allow us to make adequate comparisons between the two business entities. Therefore, if the goals are expressed as a ratio of two economic magnitudes and if the parameters and variables of the model are linear, then the optimization of the economic problem requires multicriteria fractional linear programming. (MOFLP).

Volume 6.No.2(2022): April – (Social Sciences Session)

ISSN 2661-2666 (Online) International Scientific Journal Monte (ISJM)
ISSN 2661-264X (Print)

DOI : 10.33807/monte.20222618


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