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

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 c...

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Bibliographic Details
Published in:Croatian Operational Research Review 2019-01, Vol.10 (1), p.65-74
Main Authors: Perić, Tunjo, Babić, Zoran, Omerović, Maid
Format: Article
Language:English
Subjects:
Algorithms
bi-level programming
Goal programming
linear fractional programming
Linear programming
Linearization
Mathematical programming
multiple objective
Multiple objective analysis
production plan
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Summary: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.
ISSN:1848-9931
1848-0225
1848-9931
DOI:10.17535/crorr.2019.0007