Algebraic structures for pairwise comparison matrices: consistency, social choices and Arrow's theorem

DOI10.1515/ms-2021-0038zbMath1484.91166OpenAlexW3202088004MaRDI QIDQ2054755

Gaetano Vitale, Giuseppina Barbieri, Antonio Boccuto

Publication date: 3 December 2021

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2021-0038

zbMATH Keywords

consistencysocial choiceRiesz spacepairwise comparison matrixArrow's theorem

Mathematics Subject Classification ID

Management decision making, including multiple objectives (90B50) Group preferences (91B10) Social choice (91B14) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

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• Fuzzy preference orderings in group decision making
• Equilibria in markets with a Riesz space of commodities
• Banach lattices
• A scaling method for priorities in hierarchical structures
• Soft computing applications for group decision-making and consensus modeling
• Ensuring reliability of the weighting vector: weak consistent pairwise comparison matrices
• Affine representations of \(\ell\)-groups and MV-algebras
• Isomorphisms between fuzzy pairwise comparison matrices
• A representation theorem for Riesz spaces and its applications to economics
• A unified theory of cone metric spaces and its applications to the fixed point theory
• \(\mathcal{G}\)-distance and \(\mathcal{G}\)-decomposition for improving \(\mathcal{G}\)-consistency of a pairwise comparison matrix
• Coherent weights for pairwise comparison matrices and a mixed-integer linear programming problem
• Axiomatizations of inconsistency indices for triads
• Pairwise comparisons method. Theory and applications in decision making
• Inconsistency indices for pairwise comparison matrices: a numerical study
• Characterizations of consistent pairwise comparison matrices over abelian linearly ordered groups
• Investigating Properties of the ⊙-Consistency Index
• A general unified framework for pairwise comparison matrices in multicriterial methods

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