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Characterisation of the consistent completion of AHP comparison matrices using graph theory

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Characterisation of the consistent completion of AHP comparison matrices using graph theory

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Nombre: Benítez;Carpitell ...
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dc.contributor.author Benítez López, Julio es_ES
dc.contributor.author Carpitella, Silvia es_ES
dc.contributor.author Certa, A. es_ES
dc.contributor.author Izquierdo Sebastián, Joaquín es_ES
dc.date.accessioned 2020-03-26T06:39:35Z
dc.date.available 2020-03-26T06:39:35Z
dc.date.issued 2019-01 es_ES
dc.identifier.issn 1099-1360 es_ES
dc.identifier.uri http://hdl.handle.net/10251/139462
dc.description.abstract [EN] Decision-making is frequently affected by uncertainty and/or incomplete information, which turn decision-making into a complex task. It is often the case that some of the actors involved in decision-making are not sufficiently familiar with all of the issues to make the appropriate decisions. In this paper, we are concerned about missing information. Specifically, we deal with the problem of consistently completing an analytic hierarchy process comparison matrix and make use of graph theory to characterize such a completion. The characterization includes the degree of freedom of the set of solutions and a linear manifold and, in particular, characterizes the uniqueness of the solution, a result already known in the literature, for which we provide a completely independent proof. Additionally, in the case of nonuniqueness, we reduce the problem to the solution of nonsingular linear systems. In addition to obtaining the priority vector, our investigation also focuses on building the complete pairwise comparison matrix, a crucial step in the necessary process (between synthetic consistency and personal judgement) with the experts. The performance of the obtained results is confirmed. es_ES
dc.language Inglés es_ES
dc.publisher John Wiley & Sons es_ES
dc.relation.ispartof Journal of Multi-Criteria Decision Analysis es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject AHP es_ES
dc.subject Decision-making es_ES
dc.subject Graph theory es_ES
dc.subject Incomplete information es_ES
dc.subject Layout reorganization es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Characterisation of the consistent completion of AHP comparison matrices using graph theory es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1002/mcda.1652 es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Benítez López, J.; Carpitella, S.; Certa, A.; Izquierdo Sebastián, J. (2019). Characterisation of the consistent completion of AHP comparison matrices using graph theory. Journal of Multi-Criteria Decision Analysis. 26(1-2):3-15. https://doi.org/10.1002/mcda.1652 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1002/mcda.1652 es_ES
dc.description.upvformatpinicio 3 es_ES
dc.description.upvformatpfin 15 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 26 es_ES
dc.description.issue 1-2 es_ES
dc.relation.pasarela S\367232 es_ES
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