{"id":"W2524399577","doi":"10.1515/amcs-2016-0050","title":"The limit of inconsistency reduction in pairwise comparisons","year":2016,"lang":"en","type":"article","venue":"International Journal of Applied Mathematics and Computer Science","topic":"Multi-Criteria Decision Making","field":"Decision Sciences","cited_by":35,"is_retracted":false,"has_abstract":true,"ca_institutions":"Laurentian University","funders":"","keywords":"Pairwise comparison; Mathematics; Eigenvalues and eigenvectors; Matrix (chemical analysis); Limit (mathematics); Convergence (economics); Reduction (mathematics); Distance matrix; Interpretation (philosophy); Principal component analysis; Geometric mean; Applied mathematics; Statistics; Combinatorics; Mathematical analysis; Computer science; Geometry; Physics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.04152026,0.000957902,0.002409826,0.00587184,0.001632295,0.004168522,0.004260267,0.001563983,0.00505233],"category_scores_gemma":[0.2280896,0.001038127,0.002732574,0.003357984,0.008825351,0.008279785,0.007766197,0.006248769,0.0007893197],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002121007,"about_ca_system_score_gemma":0.002008884,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001069425,"about_ca_topic_score_gemma":0.0004236016,"domain_scores_codex":[0.9358112,0.03151285,0.003191415,0.009566051,0.01797829,0.001940178],"domain_scores_gemma":[0.7407888,0.1887018,0.01624602,0.02163043,0.02931662,0.003316363],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003114665,0.0001678626,0.005089153,0.0005252233,0.0003472252,0.0004319438,0.00157531,0.03355367,0.004359974,0.8827268,0.001711002,0.06920037],"study_design_scores_gemma":[0.00003528916,0.0002141548,0.001679175,0.0001074878,0.00005600683,0.0003301079,0.0002884409,0.1630272,0.003542969,0.8287488,0.001895533,0.00007485913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04890718,0.0002938762,0.9448595,0.0005042925,0.00004734081,0.0001498441,0.00009842163,0.0002416967,0.004897861],"genre_scores_gemma":[0.5865645,0.0002768434,0.4084522,0.0003805046,0.0001302209,0.0009293968,0.0002930612,0.0002488722,0.002724367],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.04152026,"threshold_uncertainty_score":0.2195828,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09947078667601113,"score_gpt":0.3797348787776861,"score_spread":0.280264092101675,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}