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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Vydané v:Journal of Advanced Computational Intelligence and Intelligent Informatics Ročník 29; číslo 2; s. 379 - 388
Hlavní autori: Del Moral, María José, Trillo, José Ramón, Pérez, Ignacio Javier, Tapia-García, Cristobal, Tapia, Juan Miguel
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Tokyo Fuji Technology Press Ltd 20.03.2025
富士技術出版株式会社
Fuji Technology Press Co. Ltd
Predmet:
Agreements
Decision making
distance functions
fuzzy preference relations
Gini coefficient
group decision-making
Informatics
Preferences
Statistical analysis
Wilcoxon tests
ISSN:1343-0130, 1883-8014
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Abstract 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.
AbstractList 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.
Author Trillo José Ramón
Pérez Ignacio Javier
Tapia Juan Miguel
Del Moral María José
Tapia-García Cristobal
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  fullname: Tapia, Juan Miguel
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10.1016/j.ins.2012.09.014
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SubjectTerms Agreements
Decision making
distance functions
fuzzy preference relations
Gini coefficient
group decision-making
Informatics
Preferences
Statistical analysis
Wilcoxon tests
Title An Alternative Consensus Measure Based on the Gini Index for Group Decision-Making Problems
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