An Alternative Consensus Measure Based on the Gini Index for Group Decision-Making Problems

Measuring agreement among participants in group decision-making problems is critical to such processes. This paper introduces a novel consensus index derived from the Gini coefficient, which avoids the need for traditional aggregation matrices, simplifying calculations while maintaining robustness....

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Bibliographic Details
Published in:Journal of Advanced Computational Intelligence and Intelligent Informatics Vol. 29; no. 2; pp. 379 - 388
Main Authors: Del Moral, María José, Trillo, José Ramón, Pérez, Ignacio Javier, Tapia-García, Cristobal, Tapia, Juan Miguel
Format: Journal Article
Language:English
Published: Tokyo Fuji Technology Press Ltd 20.03.2025
富士技術出版株式会社
Fuji Technology Press Co. Ltd
Subjects:
Agreements
Decision making
distance functions
fuzzy preference relations
Gini coefficient
group decision-making
Informatics
Preferences
Statistical analysis
Wilcoxon tests
ISSN:1343-0130, 1883-8014
Online Access:Get full text
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Summary:Measuring agreement among participants in group decision-making problems is critical to such processes. This paper introduces a novel consensus index derived from the Gini coefficient, which avoids the need for traditional aggregation matrices, simplifying calculations while maintaining robustness. The proposed Gini Consensus Index demonstrates properties of reciprocity and boundedness, making it a reliable alternative to traditional distance-based measures. Through a comparative statistical analysis using the Wilcoxon test, the GCI performed similarly to established methods but with computational advantages and enhanced stability. These features make it a promising tool for consensus evaluation in fuzzy preference frameworks.
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ISSN:1343-0130
1883-8014
DOI:10.20965/jaciii.2025.p0379