Analyzing Consensus Measures in Group Decision Making

Date
2015
Authors
Chiclana, Francisco
Tapia García, Juan Miguel
del Moral, Maria Jose
Herrera-Viedma, Enrique
Journal Title
Journal ISSN
ISSN
DOI
Volume Title
Publisher
Peer reviewed
Yes
Abstract
In Group Decision Making (GDM) problems before to obtain a solution a high level of consensus among experts is required. Consensus measures are usually built using similarity functions measuring how close experts’ opinions or preferences are. Similarity functions are defined based on the use of a metric describing the distance between experts’ opinions or preferences. In the literature, different distance functions have been proposed to implement consensus measures. This paper presents analyzes the effect of the application of some different distance functions for measuring consensus in GDM. By using the nonparametric Wilcoxon matched-pairs signed-ranks test, it is concluded that different distance functions can produce significantly different results. Moreover, it is also shown that their application also has a significant effect on the speed of achieving consensus. Finally, these results are analysed and used to derive decision support rules, based on a convergent criterion, that can be used to control the convergence speed of the consensus process using the compared distance functions.
Description
Keywords
Group decision making, fuzzy preferences, similarity, consensus, decision support rules, Wilcoxon test
Citation
Chiclana, F. (2015) Analyzing Consensus Measures in Group Decision Making. Procedia Computer Science (The third International Conference on Information Technology and Quantitative Management - ITQM 2015).
Research Institute
Institute of Artificial Intelligence (IAI)