On the Geometric Mean Method for Incomplete Pairwise Comparisons
نویسندگان
چکیده
منابع مشابه
A Geometric Framework for the Inconsistency in Pairwise Comparisons
In this study, a pairwise comparison matrix is generalized to the case when coefficients create Lie group G, non necessarily abelian. A necessary and sufficient criterion for pairwise comparisons matrices to be consistent is provided. Basic criteria for finding a nearest consistent pairwise comparisons matrix (extended to the class of group G) are proposed. A geometric interpretation of pairwis...
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The pairwise comparisonsmethod is a convenient tool used when the relative order among different concepts (alternatives) needs to be determined. One popular implementation of the method is based on solving an eigenvalue problem for the pairwise comparisons matrix. In such cases the ranking result the principal eigenvector of the pairwise comparisonmatrix is adopted, whilst the eigenvalue is use...
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The pairwise comparisons method is a powerful tool used for establishing the relative order between different concepts in situations in which it is difficult (or sometimes even impossible) to provide explicit rating. Appropriate ratings are determined by solving eigenvalue problem for the pairwise comparisons matrix. This study presents a new iterative heuristic rating estimation algorithm that...
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The classification of the various image features or visual objects can be done by the consistency-driven pairwise comparisons method based on their relative importance. A key issue in the proposed approach is a weight based synthesis for combining various image features. When compared with the traditional experience-based linear assignment method, the proposed approach is more effective and eas...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2020
ISSN: 2227-7390
DOI: 10.3390/math8111873