Estimating priorities from relative deviations in pairwise comparison matrices
نویسندگان
چکیده
منابع مشابه
Deriving priorities from fuzzy pairwise comparison judgements
A new approach for deriving priorities from fuzzy pairwise comparison judgements is proposed, based on -cuts decomposition of the fuzzy judgements into a series of interval comparisons. The assessment of the priorities from the pairwise comparison intervals is formulated as an optimisation problem, maximising the decision-maker’s satisfaction with a speci4c crisp priority vector. A fuzzy prefer...
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In this paper analytic hierarchy process (AHP), a well-known approach for handling multi-criteria decision making problems, is discussed. It is based on pairwise comparisons. The methods for deriving the priority vectors from comparison matrices are examined. The existing methods for aggregating the individual comparison matrices into a group comparison matrix are revised. A method for aggregat...
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Pairwise comparison matrices are frequently applied in multi-criteria decision making. A weight vector is called efficient if no other weight vector is at least as good in approximating the elements of the pairwise comparison matrix, and strictly better in at least one position. A weight vector is weakly efficient if the pairwise ratios cannot be improved in all nondiagonal positions. We show t...
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The foundations are laid for an additive version of the Analytic Hierarchy Process by constructing a framework for the study of multiplicative and additive pairwise comparison matrices and the relations between them. In particular, it will be proved that the only solution satisfying consistency axioms for the problem of retrieving weights from inconsistent additive judgements matrices is the ar...
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ژورنال
عنوان ژورنال: Information Sciences
سال: 2021
ISSN: 0020-0255
DOI: 10.1016/j.ins.2020.12.008