Ensuring reliability of the weighting vector: weak consistent pairwise comparison matrices

DOI10.1016/j.fss.2015.05.014zbMath1376.91044OpenAlexW2523080139MaRDI QIDQ1677920

Livia D'Apuzzo, Bice Cavallo

Publication date: 13 November 2017

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2015.05.014

zbMATH Keywords

pairwise comparison matrixmultiple criteria evaluationabelian linearly ordered groupcoherent priority vectorweak \(\odot\)-consistency

Mathematics Subject Classification ID

Decision theory (91B06) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items

Transitivity measurements of fuzzy preference relations, A novel perspective on the inconsistency indices of reciprocal relations and pairwise comparison matrices, A goal programming approach to deriving interval weights in analytic form from interval fuzzy preference relations based on multiplicative consistency, Axiomatic property based consistency analysis and decision making with interval multiplicative reciprocal preference relations, A general unified framework for interval pairwise comparison matrices, \(\mathcal{G}\)-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, Incoherence measures and relations between coherence conditions for pairwise comparisons, Relations between coherence conditions and row orders in pairwise comparison matrices, Preservation of preferences intensity of an inconsistent pairwise comparison matrix, Algebraic structures for pairwise comparison matrices: consistency, social choices and Arrow's theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A further discussion of ``A semiring-based study of judgment matrices: properties and models
• Reciprocal transitive matrices over abelian linearly ordered groups: characterizations and application to multi-criteria decision problems
• Fuzzy preference orderings in group decision making
• Basic concepts for a theory of evaluation: The aggregative operator
• A scaling method for priorities in hierarchical structures
• Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations
• Some issues on consistency of fuzzy preference relations.
• A new measure of consistency for positive reciprocal matrices
• Deriving weights from a pairwise comparison matrix over an alo-group
• Inconsistency and non-additive capacities: the analytic hierarchy process in the framework of Choquet integration
• Characterizations of consistent pairwise comparison matrices over abelian linearly ordered groups
• Structure of Uninorms
• Investigating Properties of the ⊙-Consistency Index
• A general unified framework for pairwise comparison matrices in multicriterial methods
• Ranking and weak consistency in the A.H.P. context
• WEAK CONSISTENCY AND QUASI-LINEAR MEANS IMPLY THE ACTUAL RANKING
• Measurement Theory