We often notice the harmful consequences of decisions taken individually (conflicts, contestation, etc.) that create insecurity and instability in social and economic life in our countries. This is why today in organizations and institutions, leaders have more and more recourse to group decision-making where several individuals come together to choose consensually an action or a sub-set of action among a set of actions knowing that each individual in the group has their preferences and point of view.

In the scientific literature, there are many methods that allow individual preferences to be aggregated into a collective preference subject to consensus, but some have shortcomings and others require a lot of calculations. In this article we propose a new simple method based on the arithmetic mean and the absolute mean deviation to solve group decision problems.

arithmetic mean, absolute mean deviation, group decision, preference.

Received: May 21, 2021; Accepted: July 1, 2021; Published: July 27, 2021

How to cite this article: Wambié Zongo, Zoïnabo Savadogo, Sougoursi Jean Yves Zare, Somdouda Sawadogo and Blaise Some, Method of Solving Group Decision Problems by the Arithmetic Mean and the Mean Deviation, International Journal of Numerical Methods and Applications 20(2) (2021), 95-113. DOI: 10.17654/NM020020095

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:

[1] P. Fixmer and Ch. Brassac, The collective decision as a process of construction of meaning, C. Bonardi, N. Grégori, J.-Y. Menard, N. Roussiau, eds., Psychologie sociale appliquée, Employment, work, human resources, Paris, 2004, pp. 111-118 (in Press).
[2] Yasmina Bouzarour-Amokrane, Ayeley Tchangani and François Pérès, A bipolar consensus approach for group decision making problems, Expert Systems with Applications 42(3) (2015), 1759-1772.
[3] F. J. Cabrerizo, S. Alonso, I. J. Pierez and E. Herrera-Viedma, On consensus measures in fuzzy group decision making, V. Torra and Y. Narukawa, eds., MDAI 2008, LNAI 5285, pp. 86-97, 2008. Springer-Verlag, Berlin, Heidelberg, 2008.
[4] Mario Fedrizzi and G. Pasi, Fuzzy logic approaches to consensus modelling in group decision making, Studies in Computational Intelligence (SCI) 117 (2008), 19-37.
[5] Bowen Zhang and Yucheng Dong, Consensus rules with minimum adjustments for multiple attribute group decision making, Procedia Computer Science 17 (2013), 473-481.
[6] Jean-Marc Martel and Slim Ben Khelifa, Two proposals for multicriteria group decision support, Working Paper 1998-022, Laval University, Faculty of Administrative Sciences, Ste-Foy, Quebec, G1K 7P4, CANADA.
[7] Zoïnabo Savadogo, Longin Somé and Abdoulaye Compaoré, On new aggregation functions of additive value within the framework of the group decision, Advances in Differential Equations and Control Processes 20(2) (2019), 129-141.
[8] Zoïnabo Savadogo, Ruffin-Benoît M. Ngoie, Berthold E.-L. Ulungu and Blaise Somé, An aggregation function to solve multicriteria ranking problem involving several decision makers, International Journal of Applied Mathematical Research 3(4) (2014), 511-517.
[9] Zoïnabo Savadogo, Contribution of multicriteria decision aid, Doctoral thesis, University of Ouagadougou, 2016.
[10] B. Roy, Multi-criteria decision support methodology, Economica, 1985.
[11] B. Roy and D. Bouyssou, Multi-criteria decision aid: methods and cases, Economica, Paris (France), 1993.