Deriving weights from a pairwise comparison matrix over an alo-group

DOI10.1007/s00500-011-0746-8zbMath1255.06007OpenAlexW2090611847MaRDI QIDQ1933798

Livia D'Apuzzo, Bice Cavallo

Publication date: 25 January 2013

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-011-0746-8

zbMATH Keywords

decision theorymulti-criteria decision makingfuzzy algebraic structuresabelian linearly ordered groups

Mathematics Subject Classification ID

Decision theory (91B06) Fuzzy groups (20N25) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (17)

Ensuring reliability of the weighting vector: weak consistent pairwise comparison matrices ⋮ A novel perspective on the inconsistency indices of reciprocal relations and pairwise comparison matrices ⋮ Analytical-solution-based interval fuzzy utility acquisition and decision making with interval-valued fuzzy preference relations based on additive consistency ⋮ A general unified framework for interval pairwise comparison matrices ⋮ A further discussion of ``A semiring-based study of judgment matrices: properties and models ⋮ Pairwise comparison matrix with fuzzy elements on alo-group ⋮ Consistency and consensus improving methods for pairwise comparison matrices based on abelian linearly ordered group ⋮ Reciprocal transitive matrices over abelian linearly ordered groups: characterizations and application to multi-criteria decision problems ⋮ Algebraic representations of the weighted mean ⋮ \(\mathcal{G}\)-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 ⋮ Relations between coherence conditions and row orders in pairwise comparison matrices ⋮ Isomorphisms between fuzzy pairwise comparison matrices ⋮ Strong reciprocity and strong consistency in pairwise comparison matrix with fuzzy elements ⋮ Preservation of preferences intensity of an inconsistent pairwise comparison matrix ⋮ A Multiplicative Alo-group Based Hierarchical Decision Model and Application ⋮ On the derivation of weights from incomplete pairwise comparisons matrices via spanning trees with crisp and fuzzy confidence levels

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• Axiomatic Foundation of the Analytic Hierarchy Process
• Ranking and weak consistency in the A.H.P. context
• Deriving weights from pairwise comparison matrices
• WEAK CONSISTENCY AND QUASI-LINEAR MEANS IMPLY THE ACTUAL RANKING
• Generalized consistency and intensity vectors for comparison matrices

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