A fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problems (CROSBI ID 275777)
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Podaci o odgovornosti
Perić, Tunjo ; Babić, Zoran ; Omerović, Maid
engleski
A fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problems
This paper presents a new approach to solving decentralized, bi-level, multi-objective, linear fractional programming problems. The main goal was to investigate finding 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 the those obtained using an existing method.
Multiple objective programming ; Linear fractional programming ; Bi-level programming ; Production plan determination
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Povezanost rada
Matematika