126477 20241125101154.0 doi 10.1007/s10479-023-05366-7 sideral 133920 ART-2023-133920 eng Aguarón, Juan Universidad de Zaragoza (orcid)0000-0003-3138-7597 Reducing incompatibility in a local AHP-group decision making context 2023 Access copy available to the general public Unrestricted In the context of local analytic hierarchy process-group decision making (AHP-GDM), this paper presents a theoretical framework and a semi-automatic procedure for reducing incompatibility between the actors involved in the decision making process and the collective position. The row geometric mean is employed as the prioritisation procedure and the geometric compatibility index (GCOMPI ) as the incompatibility measure; individual pairwise comparison matrices are considered as the input of the reduction process, whilst the collective vector is the output. The reduction is attained by slightly modifying, in relative terms, the judgements of the collective pairwise comparison matrix, irrespective of the method used to obtain it, that further improve the GCOMPI . The resulting judgements of the collective matrix and the associated collective priorities are close to the initial collective values. The procedure does not modify the judgements of the initial individual matrices and this simplifies the process of reaching consensus. A simulation analysis is utilised to study the performance of the algorithm along with an illustrative numerical example. The analysis proves that the proposed algorithm is easy to implement and efficient, it provides mathematically closed results and significantly reduces the GCOMPI associated with the precise consistency consensus matrix which is one of the AHP-GDM tools. The framework allows the procedure to be adapted to specific interests. info:eu-repo/grantAgreement/ES/DGA-FEDER/S35-20R info:eu-repo/grantAgreement/ES/DGA/LMP35_21 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 4.4 2023 OPERATIONS RESEARCH & MANAGEMENT SCIENCE 23 / 106 = 0.217 2023 Q1 T1 1.019 2023 Management Science and Operations Research 2023 Q1 Decision Sciences (miscellaneous) 2023 Q2 7.9 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Escobar, María Teresa Universidad de Zaragoza (orcid)0000-0003-4419-1905 Moreno-Jiménez, José María Universidad de Zaragoza (orcid)0000-0002-5037-6976 4014 623 Universidad de Zaragoza Dpto. Economía Aplicada Área Métodos Cuant.Econ.Empres 326, 1 (2023), 1-26 Ann. oper. res. ANNALS OF OPERATIONS RESEARCH 0254-5330 460367 http://zaguan.unizar.es/record/126477/files/texto_completo.pdf Versión publicada 1242461 http://zaguan.unizar.es/record/126477/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:126477 articulos driver 2024-11-22-12:08:11 ARTICLE