Deriving weights from pairwise comparison ratio matrices: An axiomatic approach

DOI10.1016/0377-2217(88)90198-1zbMath0652.90002OpenAlexW1967778360MaRDI QIDQ1107400

Wade D. Cook, Moshe Kress

Publication date: 1988

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(88)90198-1

zbMATH Keywords

distance measuregoal programminground robin tournamentset of axiomspairwise comparision ratio matrixweight derivation

Mathematics Subject Classification ID

Decision theory (91B06)

Related Items (38)

A note on deriving weights from pairwise comparison ratio matrices ⋮ Eigenvector ranking method as a measuring tool: formulas for errors ⋮ Inferring efficient weights from pairwise comparison matrices ⋮ An approach to formalization and analysis of group choice problems ⋮ Criteria importance theory ⋮ Compromising prioritization from pairwise comparisons considering type I and II errors ⋮ Relationship between priority ratios disturbances and priority estimation errors ⋮ Robustness to rank reversal in pairwise comparison matrices based on uncertainty bounds ⋮ How to derive priorities in AHP: a comparative study ⋮ Preference elicitation from inconsistent judgments using multi-objective optimization ⋮ Evaluating the effects of uncertainty in interval pairwise comparison matrices ⋮ New parametric prioritization methods for an analytical hierarchy process based on a pairwise comparison matrix ⋮ Research on the optimal aggregation method of judgment matrices based on spatial Steiner-Weber point ⋮ Hyperbolic scales involving appetites-based intuitionistic multiplicative preference relations for group decision making ⋮ Deriving weights from general pairwise comparison matrices ⋮ A heuristic method to rectify intransitive judgments in pairwise comparison matrices ⋮ EFFECTIVENESS ANALYSIS OF DERIVING PRIORITY VECTORS FROM RECIPROCAL PAIRWISE COMPARISON MATRICES ⋮ Axiomatic property based consistency analysis and decision making with interval multiplicative reciprocal preference relations ⋮ A common framework for deriving preference values from pairwise comparison matrices ⋮ A characterization of the logarithmic least squares method ⋮ A multiple criteria decision model with ordinal preference data ⋮ Studying a set of properties of inconsistency indices for pairwise comparisons ⋮ The mathematical equivalence of the ``spanning tree and row geometric mean preference vectors and its implications for preference analysis ⋮ Enumerating all spanning trees for pairwise comparisons ⋮ Representing the strengths and directions of pairwise comparisons ⋮ Goal programs with \(-n_i, -p_i\) and \(-(n_i+p_i)\) objective functions ⋮ Combining different prioritization methods in the analytic hierarchy process synthesis ⋮ Coherent weights for pairwise comparison matrices and a mixed-integer linear programming problem ⋮ A parametric GP model dealing with incomplete information for group decision-making ⋮ Axiomatizations of inconsistency indices for triads ⋮ Solution of the least squares method problem of pairwise comparison matrices ⋮ A linear optimization problem to derive relative weights using an interval judgement matrix ⋮ A weight-assessing method with habitual domains ⋮ Application of grey theory and multiobjective programming towards airline network design ⋮ A new framework for multiple-criteria decision making: the baseline approach ⋮ A multicriteria evaluation of methods for obtaining weights from ratio- scale matrices ⋮ A parametric model for determining consensus priority vectors from fuzzy comparison matrices ⋮ BBTOPSIS: A bag based technique for order preference by similarity to ideal solution

Cites Work

• Eigen weight vectors and least-distance approximation for revealed preference in pairwise weight ratios
• A note on the analysis of subjective judgement matrices
• Consistent weights for judgements matrices on the relative importance of alternatives
• A comparison of two methods for determining the weights of belonging to fuzzy sets
• Mathematical Models for Ranking from Paired Comparisons
• A Supplement to "A Mathematician's Guide to Popular Sports"
• The Ranking of Incomplete Tournaments: A Mathematician's Guide to Popular Sports
• On the Minimum Violations Ranking of a Tournament
• Ordinal Ranking with Intensity of Preference
• Priority Ranking and Consensus Formation
• A Biometrics Invited Paper. Science, Statistics, and Paired Comparisons
• Ranking the Players in a Round Robin Tournament
• A branch and bound algorithm for maximum likelihood paired comparison ranking
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