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

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Titel: A fuzzy goal programming approach to solving decentralized bi-level multi-objective linear fractional programming problems
Autoren: Perić, Tunjo, Babić, Zoran
Quelle: Croatian operational research review. 10(1):65-74
Verlagsinformationen: 2019.
Publikationsjahr: 2019
Schlagwörter: Bi-level programming, Linear fractional programming, Production plan determination, Multiple objective programming
Beschreibung: 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.
Publikationsart: Article
ISSN: 1848-0225
Dokumentencode: edsair.dris...01492..d683d5e912df7695dfd3deaad2188f77
Datenbank: OpenAIRE
Beschreibung
Abstract: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.
ISSN:18480225