Multiplicative Consistency Ascertaining, Inconsistency Repairing, and Weights Derivation of Hesitant Multiplicative Preference Relations

dc.cclicenceCC-BY-NCen
dc.contributor.authorXu, Yejun
dc.contributor.authorLi, Mengqi
dc.contributor.authorChiclana, Francisco
dc.contributor.authorHerrera-Viedma, Enrique
dc.date.acceptance2021-07-19
dc.date.accessioned2021-09-02T09:29:19Z
dc.date.available2021-09-02T09:29:19Z
dc.date.issued2021-08-06
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.abstractThis article investigates multiplicative consistency ascertaining, inconsistency repairing, and weights derivation for hesitant multiplicative preference relations (HMPRs). First, the completely multiplicative consistency and weakly multiplicative consistency of HMPRs are defined. Based on them, 0-1 mixed programming models and simple algebraic operations are proposed to ascertain the multiplicative consistency of HMPRs. Then, some goal programming models are developed to generate the weights from consistent HMPRs and to revise inconsistent HMPRs. An integrated procedure to manage the multiplicative consistencies of HMPRs is designed. The proposed methods are also extended to accommodate incomplete HMPRs, and to estimate missing values. Finally, some numerical examples, a comparative analysis with existent approaches, and a simulation analysis are included to illustrate the practicality and effectiveness of the developed models.en
dc.funderNo external funderen
dc.identifier.citationXu, Y., Li, M., Chiclana, F. and Herrera-Viedma, E. (2021) Multiplicative Consistency Ascertaining, Inconsistency Repairing, and Weights Derivation of Hesitant Multiplicative Preference Relations. IEEE Transactions on Systems, Man and Cybernetics: Systems.en
dc.identifier.doihttps://doi.org/10.1109/tsmc.2021.3099862
dc.identifier.issn2168-2216
dc.identifier.urihttps://dora.dmu.ac.uk/handle/2086/21232
dc.language.isoenen
dc.peerreviewedYesen
dc.publisherIEEEen
dc.researchinstituteInstitute of Artificial Intelligence (IAI)en
dc.subjectProgrammingen
dc.subjectAnalytical modelsen
dc.subjectFuzzy setsen
dc.subjectWeight measurementen
dc.subjectMaintenance engineeringen
dc.subjectIndexesen
dc.subjectData scienceen
dc.titleMultiplicative Consistency Ascertaining, Inconsistency Repairing, and Weights Derivation of Hesitant Multiplicative Preference Relationsen
dc.typeArticleen

Files

Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
SMCA-20-03-0686-R3.pdf
Size:
568.96 KB
Format:
Adobe Portable Document Format
Description:
Author’s copy of accepted paper
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
4.2 KB
Format:
Item-specific license agreed upon to submission
Description: