Axiomatic foundation of the analytic hierarchy process
Management Science
Fuzzy integral in multicriteria decision making
Fuzzy Sets and Systems - Special issue on fuzzy information processing
k-order additive discrete fuzzy measures and their representation
Fuzzy Sets and Systems - Special issue on fuzzy measures and integrals
Alternative representations of discrete fuzzy measures for decision making
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - Special issue on fuzzy measures and integrals in subjective evaluation
Optimization issues for fuzzy measures
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - A special issue on fuzzy measures
How to improve ACTS: an alternative representation of the importance of criteria in MCDM
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - Special issue on aggregation operators
Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference
Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference
Fuzzy Measure Theory
On the issue of consistency in dynamical consensual aggregation
Technologies for constructing intelligent systems
Aggregation operators: new trends and applications
Aggregation operators: new trends and applications
Towards an aggregation performance measurement system model in a supply chain context
Computers in Industry
Fuzzy Optimization and Decision Making
Information Sciences: an International Journal
A general unified framework for pairwise comparison matrices in multicriterial methods
International Journal of Intelligent Systems
Aggregation Functions (Encyclopedia of Mathematics and its Applications)
Aggregation Functions (Encyclopedia of Mathematics and its Applications)
Aggregation Functions: A Guide for Practitioners
Aggregation Functions: A Guide for Practitioners
Characterizations of consistent pairwise comparison matrices over abelian linearly ordered groups
International Journal of Intelligent Systems
A characterization of the 2-additive Choquet integral through cardinal information
Fuzzy Sets and Systems
Deriving weights from pairwise comparison matrices: The additive case
Operations Research Letters
Consistent weights for judgements matrices of the relative importance of alternatives
Operations Research Letters
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We examine the AHP in the framework of Choquet integration and we propose an extension of the standard AHP aggregation scheme on the basis of the Shapley values associated with the criteria. In our model a measure of dominance inconsistency between criteria is defined in terms of the totally inconsistent matrix associated with the main pairwise comparison matrix of the AHP. The measure of dominance inconsistency is then used to construct a non-additive capacity whose associated Shapley values reduce to the standard AHP priority weights in the consistency case. In the general inconsistency case, however, the extended aggregation scheme based on the Shapley weighted mean tends to attenuate (resp. emphasize) the priority weights of the criteria with higher (resp. lower) average dominance inconsistency with respect to the other criteria.