Integration of fuzzy analytic hierarchy process and multi-objective fuzzy goal programming for selection problems: An application on roadheader selection

Article type: Research Article

Authors: Ozfirat, Pinar Mizrak^{a; *} | Ozfirat, Muharrem Kemal^b | Malli, Tahir^b | Kahraman, Bayram^b

Affiliations: [a] Industrial Engineering Department, Celal Bayar University, Manisa, Turkey | [b] Mining Engineering Department, Dokuz Eylul University, Izmir, Turkey

Correspondence: [*] Corresponding author. Pinar Mizrak Ozfirat, Celal Bayar University, Department of Industrial Engineering, Celal Bayar Universitesi Muradiye Kampusu Endustri Muh. Bol., Muradiye Manisa, Turkey. Tel.: +90 236 2011 2203; pinar.ozfirat@cbu.edu.tr

Abstract: In this study a general methodology employing fuzzy analytic hierarchy process and fuzzy goal programming is developed for selection problems. The proposed methodology has two main sub-phases. In the first phase, fuzzy triangular numbers are used in order to represent the comparisons among decision criteria. Then lower and upper bounds as well as mid-values of priorities belonging to each decision criteria are computed. In the second phase these values and fuzzy triangular numbers are entered into the goal programming model and the model is solved to give the final priorities of decision criteria. Then the weighted sum of ratings for each selection alternative are found where the weights are final priorities from goal programming model. The proposed methodology is presented on a real life roadheader selection problem from mining industry. The results revealed that the methodology is easily applicable and provides satisfactory results.

Keywords: Fuzzy analytic hierarchy process, fuzzy goal programming, multi-objective programming, selection problems, roadheader selection, mining operations

DOI: 10.3233/IFS-151569

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 1, pp. 53-62, 2015