000126477 001__ 126477 000126477 005__ 20241125101154.0 000126477 0247_ $$2doi$$a10.1007/s10479-023-05366-7 000126477 0248_ $$2sideral$$a133920 000126477 037__ $$aART-2023-133920 000126477 041__ $$aeng 000126477 100__ $$0(orcid)0000-0003-3138-7597$$aAguarón, Juan$$uUniversidad de Zaragoza 000126477 245__ $$aReducing incompatibility in a local AHP-group decision making context 000126477 260__ $$c2023 000126477 5060_ $$aAccess copy available to the general public$$fUnrestricted 000126477 5203_ $$aIn 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. 000126477 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FEDER/S35-20R$$9info:eu-repo/grantAgreement/ES/DGA/LMP35_21 000126477 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000126477 590__ $$a4.4$$b2023 000126477 592__ $$a1.019$$b2023 000126477 591__ $$aOPERATIONS RESEARCH & MANAGEMENT SCIENCE$$b23 / 106 = 0.217$$c2023$$dQ1$$eT1 000126477 593__ $$aManagement Science and Operations Research$$c2023$$dQ1 000126477 593__ $$aDecision Sciences (miscellaneous)$$c2023$$dQ2 000126477 594__ $$a7.9$$b2023 000126477 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000126477 700__ $$0(orcid)0000-0003-4419-1905$$aEscobar, María Teresa$$uUniversidad de Zaragoza 000126477 700__ $$0(orcid)0000-0002-5037-6976$$aMoreno-Jiménez, José María$$uUniversidad de Zaragoza 000126477 7102_ $$14014$$2623$$aUniversidad de Zaragoza$$bDpto. Economía Aplicada$$cÁrea Métodos Cuant.Econ.Empres 000126477 773__ $$g326, 1 (2023), 1-26$$pAnn. oper. res.$$tANNALS OF OPERATIONS RESEARCH$$x0254-5330 000126477 8564_ $$s460367$$uhttps://zaguan.unizar.es/record/126477/files/texto_completo.pdf$$yVersión publicada 000126477 8564_ $$s1242461$$uhttps://zaguan.unizar.es/record/126477/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000126477 909CO $$ooai:zaguan.unizar.es:126477$$particulos$$pdriver 000126477 951__ $$a2024-11-22-12:08:11 000126477 980__ $$aARTICLE