Average-case consistency measurement and analysis of interval-valued reciprocal preference relations

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dc.cclicenceCC-BY-NC-NDen
dc.contributor.authorChiclana, Franciscoen
dc.contributor.authorHerrera-Viedma, Enriqueen
dc.contributor.authorDong, Yuchengen
dc.contributor.authorLi, Cong-Congen
dc.date.acceptance2016-10-04en
dc.date.accessioned2016-10-19T08:51:49Z
dc.date.available2016-10-19T08:51:49Z
dc.date.issued2016-10-05
dc.descriptionThe file attached to this record is the author's final peer reviewed version. The Publisher's final version can be found by following the DOI link.en
dc.description.abstractMeasuring consistency of preferences is very important in decision-making. This paper addresses this key issue for interval-valued reciprocal preference relations. Existing studies implement one of two di erent measures: the "classical" consistency measure, and the "boundary" consistency measure. The classical consistency degree of an interval-valued reciprocal preference relation is determined by its associated reciprocal preference relation with highest consistency degree, while the boundary consistency degree is determined by its two associated boundary reciprocal preference relations. However, the consistency index of an interval-valued reciprocal preference relation should be determined by taking into account all its associated reciprocal preference relations. Motivated by this, a new consistency measure for interval-valued reciprocal preference relations, the average-case consistency measure, is suggested and introduced. The new average-case consistency measure of an interval-valued reciprocal preference relation is determined as the average consistency degree of all reciprocal preference relations associated to the interval-valued reciprocal preference relation. Furthermore, the analysis and comparison of the di erent consistency measure internal mechanisms is used to justify the validity of the average-case consistency measure. Finally, an average-case consistency improving method which aims to obtain a modi ed interval-valued reciprocal preference relation with a required average consistency degree is developed.en
dc.funderThis work was supported by the grants (Nos. 71171160 and 71571124) from NSF of China, the grant (No. skqy201606) from Sichuan University, the grant (No. TIN2013-40658-P) from the FEDER funds, and the grant (No. TIC-5991) from the Andalusian Excellence Project.en
dc.identifier.citationDong, Y., Li, C-C., Chiclana, F. and Herrera-Viedma, E. (2016) Average-case consistency measurement and analysis of interval-valued reciprocal preference relations. Knowledge-Based Systems, online firsten
dc.identifier.doihttps://doi.org/10.1016/j.knosys.2016.10.005
dc.identifier.urihttp://hdl.handle.net/2086/12717
dc.language.isoenen
dc.peerreviewedYesen
dc.projectidThis work was supported by the grants (Nos. 71171160 and 71571124) from NSF of China, the grant (No. skqy201606) from Sichuan University, the grant (No. TIN2013-40658-P) from the FEDER funds, and the grant (No. TIC-5991) from the Andalusian Excellence Project.en
dc.publisherElsevieren
dc.researchgroupCentre for Computational Intelligenceen
dc.researchinstituteInstitute of Artificial Intelligence (IAI)en
dc.subjectDecision analysisen
dc.subjectreciprocal preference relationen
dc.subjectinterval-valued preferencesen
dc.subjectconsistency measurementen
dc.subjectaverage-case consistencyen
dc.titleAverage-case consistency measurement and analysis of interval-valued reciprocal preference relationsen
dc.typeArticleen

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