In the literature on multi-criteria group decision support, many methods have been discussed. In general, these methods are based on collective aggregation functions that, through the judgments given by each decision maker on the actions according to each criterion, must determine an action that is the best or that represents a consensus. In some cases, the application of these methods is either complicated in use and others can also generate controversial results because of the weighted average they use.

The objective of this work is to propose a new non-compensatory multi-criteria group decision support method that can circumvent some of these difficulties. The design of the latter consists in transforming a multi-decider problem into a single-decider problem using the geometric mean for the performance of the alternatives with respect to the criteria and the median for the criteria in order to use the ELECTRE I method within the framework of a single decision maker. The application of the new method and its comparison with other methods in the literature shows us that it has interesting properties.

geometric mean, median, collective aggregation function, ELECTRE I method.

Received: August 10, 2021; Accepted: September 23, 2021; Published: November 12, 2021

How to cite this article: Frédéric Nikiema, Zoïnabo Savadogo, Somdouda Sawadogo and Blaise Some, Collective aggregation method based on the ELECTRE I method for solving selection problems, Advances in Differential Equations and Control Processes 25(2) (2021), 189-212. DOI: 10.17654/DE025020189

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

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