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Pairwise opposite matrix and its cognitive prioritization operators / K. K. F. Yuen in Journal of the operational research society (JORS), Vol. 63 N° 3 (Mars 2012) 

Public ISBD [article]  in Journal of the operational research society (JORS) > Vol. 63 N° 3 (Mars 2012) . - pp. 322–338 Titre : Pairwise opposite matrix and its cognitive prioritization operators : comparisons with pairwise reciprocal matrix and analytic prioritization operators Type de document : texte imprimé Auteurs : K. K. F. Yuen, Auteur Année de publication : 2012 Article en page(s) : pp. 322–338 Note générale : Recherche opérationnelle Langues : Anglais (eng) Mots-clés : Decision  analysis  Utility  theory  Analytic  hierarchy/network  process  (AHP/ANP)  Cognitive  decision  system  Optimization Index. décimale : 001.424 Résumé : The pairwise reciprocal matrix (PRM) of the analytic hierarchy/network process has been investigated by many scholars. However, there are significant queries about the appropriateness of using the PRM to represent the pairwise comparison. This research proposes a pairwise opposite matrix (POM) as the ideal alternative with respect to the human linguistic cognition of the rating scale of the paired comparison. Several cognitive prioritization operators (CPOs) are proposed to derive the individual utility vector (or priority vector) of the POM. Not only are the rigorous mathematical proofs of the new models demonstrated, but solutions of the CPOs are also illustrated by the presentation of graph theory. The comprehensive numerical analyses show how the POM performs better than the PRM. POM and CPOs, which correct the fallacy of the PRM associated with its prioritization operators, should be the ideal solutions for multi-criteria decision-making problems in various fields. DEWEY : 001.424 ISSN : 0160-5682 En ligne : www.palgrave-journals.com/jors/journal/v63/n3/abs/jors201133a.html [article] Pairwise opposite matrix and its cognitive prioritization operators : comparisons with pairwise reciprocal matrix and analytic prioritization operators [texte imprimé] / K. K. F. Yuen, Auteur . - 2012 . - pp. 322–338. Recherche opérationnelle Langues : Anglais (eng) in Journal of the operational research society (JORS) > Vol. 63 N° 3 (Mars 2012) . - pp. 322–338 Mots-clés : Decision  analysis  Utility  theory  Analytic  hierarchy/network  process  (AHP/ANP)  Cognitive  decision  system  Optimization Index. décimale : 001.424 Résumé : The pairwise reciprocal matrix (PRM) of the analytic hierarchy/network process has been investigated by many scholars. However, there are significant queries about the appropriateness of using the PRM to represent the pairwise comparison. This research proposes a pairwise opposite matrix (POM) as the ideal alternative with respect to the human linguistic cognition of the rating scale of the paired comparison. Several cognitive prioritization operators (CPOs) are proposed to derive the individual utility vector (or priority vector) of the POM. Not only are the rigorous mathematical proofs of the new models demonstrated, but solutions of the CPOs are also illustrated by the presentation of graph theory. The comprehensive numerical analyses show how the POM performs better than the PRM. POM and CPOs, which correct the fallacy of the PRM associated with its prioritization operators, should be the ideal solutions for multi-criteria decision-making problems in various fields. DEWEY : 001.424 ISSN : 0160-5682 En ligne : www.palgrave-journals.com/jors/journal/v63/n3/abs/jors201133a.html