Methods for assigning weights to decision makers in group AHP decision-making

  • Aleksandar Janković Ministry of Transport and Maritime Affairs, Directorate for Transport, Montenegro
  • Milena Popović University of Belgrade, Faculty of Organizational Sciences, Belgrade, Serbia
Keywords: Weights; Decision Makers; Analytical Hierarchy Process; Group Decision Making

Abstract

The method known as the analytical hierarchy process (AHP), a theoretical and methodological concept of multi-criteria analysis, is increasingly used in solving various decision-making problems. AHP is an excellent support to both the individual and group decision-making process, however, the involvement of a greater number of decision makers complicates the process and requires a different approach to when an individual decides alone. The synthesis of individual decisions within a group can be done in various ways, but the problem is how to deal with different levels of consistency when there are a number of decision makers. Thus, this paper presents some of the methods for defining the individual weights of decision makers in group AHP decision making.

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References

Altuzarra A., Moreno-Jimenez J.M., & Salvador M.A. (2007). Bayesian priorization procedure for AHP-group decision making. European Journal of Operational Research, 182(1), 367–382.

Arnette, A., Zobel C., Bosch D., Pease J., & Metcalfe T. (2010), Stakeholder ranking of watershed goals with the vector analytic hierarchy process: Effects of participant grouping scenarios. Environmental Modelling and Software, 25, 1459–1469.

Bernasconi, M., Choirat, C., & Seri, R. (2014). Empirical properties of group preference aggregation methods employed in AHP: Theory and evidence. European Journal of Operational Research, 232(3), 584–592.

Blagojević, B. (2015). Minimizacija odstupanja grupne od individualne odluke primenom inteligentnih stohastičkih algoritama u problemima vodoprivrede i poljoprivrede, Doktorska disertacija, Univerzitet u Novom Sadu, Poljoprivredni fakultet, 15. (In Serbian).

Blagojević, B., Srđević, Z., Srđević, B., & Suvočarov, K. (2010). Rangiranje korisnika kredita za opremu za navodnjavanje pomoću Analitičkog hijerarhijskog procesa, Vodoprivreda, 42, 213-222. (In Serbian).

Escobar, M.T., Aguarón, J., & MorenoJiménez J.M. (2004). A note on AHP group consistency for the row geometric mean priorisation procedure. European Journal of Operational Research, 153, 318–322.

Forman E., & Peniwati K. (1998). Aggregating individual judgments and priorities with the analytic hierarchy process. European Journal of Operational Research, 108, 165–169.

Ho, W. (2008). Integrated analytic hierarchy process and its applications–A literature review. European Journal of Operational Research, 186(1), 211–228.

Hot, I. (2014). Upravljanje izradom generalnih projekata u oblasti infrastrukture primenom višekriterijumske analize, Doktorska disertacija, Fakultet tehničkih nauka Univerziteta u Novom Sadu. (In Serbian).

Jandrić, Z., & Srević, B. (2000). Analitički hijerarhijski proces kao podrška odlučivanju u vodoprivredi. Vodoprivreda, 186-188, 327–335. (In Serbian).

Lootsma, F.A. (1988). Numerical scaling of human judgment in pairwise–comparison methods for fuzzy multi–criteria decision analysis, Mathematical Models for Decision Support. NATO ASI Series F, Computer and System Sciences, Springer–Verlag, Berlin, Germany, 57–88.

Lootsma, F.A. (1990). T French and the American school in multi–criteria decision analysis. Operations Research, 24(3), 263–285.

Lootsma, F.A., Mensch, T.C.A., & Vos, F.A. (1990). Multi–criteria analysis and budget reallocation in long–term research planning. European Journal of Operational Research, 47, 293–305.

Lukovac, V. (2016). Model za otklanjanje grešaka u sistemu procene performansi vojnih vozača, Doktorska disertacija, Univerzitet odbrane, Vojna akademija, Beograd. (In Serbian).

Ma, D., & Zheng, X. (1991). 9/9–9/1 scale method of the AHP, Proceedings of the 2nd International Symposium on the AHP, Pittsburgh, 197–202.

Nikolić, I., & Borović, S. (1996). Višekriterijumska optimizacija–metode, primena u logistici, softver, Vojnoizdavački zavod, Beograd. (In Serbian).

Ramanathan, R., & Ganesh, L.S. (1994). Group preference aggregation methods employed in AHP: an evaluation and an intrinsic process for deriving members’ weightages. European Journal of Operational Research, 79, 249–265.

Saaty, T. L. (1980). The Analytic Hierarchy Process, McGraw-Hill, New York.

Saaty, T.L. (1977). A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology, 15, 234–281.

Saaty, T.L. (1999). Decision making for leaders: the analytic hierarchy process for decisions in a complex world, 2, RWS publications.

Srđević, B, Potkonjak, S., Srđević, Z., Škorić, M., & Zoranović, T. (2004). Simulacija grupnog odlučivanja u izboru tehnologije navodnjavanja, Poljoprivreda između suša i poplava, 190-197, Poljoprivredni fakultet, Novi Sad. (In Serbian).

Srđević, B, Suvočarov, K., & Srđević, Z. (2009). Analitički hijerarhijski process: Individualna i grupna konzistentnost donosilaca odluka, Vodoprivreda, 41(1-3), 13-21. (In Serbian).

Srđević, B., Suvočarev K., & Srđević, Z. (2008). AHP grupno odlučivanje bez konsenzusa: Primer planiranja segmentacije mokrog polja, Vodoprivreda, 40, 51-58. (In Serbian).

Subramanian, N., & Ramanathan, R. (2012). A review of applications of Analytic Hierarchy Process in operations management. International Journal of Production Economics, 138(2), 215–241.

Vaidya, O.S., & Kumar, S. (2006). Analytic hierarchy process: An overview of applications. European Journal of Operational Research, 169(1), 1–29.

Published
2019-03-09
How to Cite
Janković, A., & Popović, M. (2019). Methods for assigning weights to decision makers in group AHP decision-making. Decision Making: Applications in Management and Engineering, 2(1), 147-165. Retrieved from http://www.dmame.org/index.php/dmame/article/view/35