Electronic Archive Khmelnitskiy National University ELARKHNU
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| Поле | Співвідношення |
| Title | A criterion of aggregating expert estimations into consensus pairwise comparison matrix by a given comparison scale within the corresponding space of positive inverse-symmetric matrices |
| Names |
Romanuke, V.V.
Романюк, В.В. |
| Date Issued | 2016 (iso8601) |
| Abstract | An approach of aggregating expert estimations into consensus pairwise comparison matrix is suggested. The aggregation criterion is minimization of the weighted distance between the consensus pairwise comparison matrix and pairwise comparison matrices of experts. The matrix distance is Euclidean-based metric in the space of all positive inversesymmetric matrices whose subset is the space of all pairwise comparison matrices. The consensus is found slightly simpler for experts with identical competences. Expert estimations are treated consistent if they do not differ badly. For checking consistency or concordance of expert estimations, two inequalities are controlled. The first inequality addresses maximal distance among weighted pairwise comparison matrices of experts. The second one addresses maximal difference among entries of these matrices. For experts with identical competences, the two inequalities are stated simpler, without weighting. The suggested approach is applicable, regardless the comparison scale, for solving hierarchical multicriteria problems by finite number of alternatives. |
| Genre | Стаття |
| Topic | expert estimations |
| Identifier | Romanuke, V.V. A criterion of aggregating expert estimations into consensus pairwise comparison matrix by a given comparison scale within the corresponding space of positive inverse-symmetric matrices [Текст] / V. V. Romanuke // Вісник Хмельницького національного університету. Технічні науки. – 2016. – №1. – С. 78-84. |