Abstract
Highlights: This paper describes an original proposal for modeling Multicriteria problems taking into account more than one evaluator. It allows each evaluator to have its own set of criteria. It also avoids the incoherency of adopting compensatory techniques into non-compensatory algorithms.
 Goal: This paper describes an original proposal for modeling multicriteria situations where multiple evaluators take part of the evaluation process. This proposal allows each evaluator to have its own set of criteria, including their weights, and also avoids the usual inconsistency of adopting pre-processing compensatory methods for introducing it into non-compensatory algorithms.
 Design / Methodology / Approach: In order to better describe how ELECTRE ME works, a multicriteria-multiple evaluator situation is modeled by ELECTRE TRI ME (as we have called the ELECTRE TRI variation that incorporates the principles of multiple evaluators).
 Results: ELECTRE ME was able to avoid the inconsistency of adopting contradictory mechanisms of aggregating preferences while modeling multicriteria & multiple evaluators problems (first called here as MCDA-ME).
 Limitations: Although the proposal focuses in situations with multiple evaluators, there is no restriction for its application in situations where there is only one decision maker.
 Practical implications: Another important feature of ELECTRE ME is that it allows each evaluator to consider its own set of criteria and its own scale for evaluation.
 Originality / Value: ELECTRE ME avoids a contradictory approach to use compensatory algorithms (such as weighted mean) as an input in non-compensatory outranking methods. Despite the fact that non-compensatory principle is in the heart of the ELECTRE methods, it has not found a previous proposal with the attributes shown in this study: to incorporate outranking concepts in situations where more than one evaluator is present and, by extension, allow each evaluator to have its own set of criteria.
Highlights
While dealing with group decision or evaluation situations in which the opinions or perceptions of several or multiple evaluators appears, there are two mains streams and basic approaches: the consensus and the voting systems
The main question that arises from this problem is: How to deal with the opinions from different evaluators when there is no way to find out consensus? This paper aims to describe an original and simple variation on the usual ELECTRE methods, to deal simultaneously with both multicriteria and multiple decision maker situations, and that incorporates the non-compensatory and non-dominance principles of ELECTRE while dealing with multiple decision makers evaluations
In order to well-establish the difference between a compensatory and a non-compensatory approach, it should be considered an analogy with a volleyball match, in which team A wins team B by 25 to 5 in the first set, but loses all the three following sets to team B by 25 to 20
Summary
While dealing with group decision or evaluation situations in which the opinions or perceptions of several or multiple evaluators appears, there are two mains streams and basic approaches: the consensus and the voting systems. There are several models that apply more refined techniques to reach such overall number, as a sample cited in: Nordström et al (2009), Yu and Lai (2011), Leyva López and Alvarez Carrillo (2015), Pereira and Costa (2015), Sant’Anna et al (2016), Ding et al (2017), Zeng et al (2018) and Wu and Liao (2019) Despite this fact, in the voting systems, it is still usual to apply a weight sum algorithm for aggregating the preferences. In order to well-establish the difference between a compensatory and a non-compensatory approach, it should be considered an analogy with a volleyball match, in which team A wins team B by 25 to 5 in the first set, but loses all the three following sets to team B by 25 to 20 In this situation, one could imagine the following procedures to identify the winner of the match: a) A compensatory approach: Uses the sum of the points gained by the team in each set. This procedure, which is adopted in volleyball matches, could be classified as an outranking approach
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