Constructing order-2 information granules of linguistic expressions with the aid of the principle of justifiable granularity

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dc.contributor.authorHuang, T.
dc.contributor.authorPedrycz, W.
dc.contributor.authorZhang, Q.
dc.contributor.authorTang, X.
dc.contributor.authorYang, S.
dc.date.accessioned2024-05-19T14:33:41Z
dc.date.available2024-05-19T14:33:41Z
dc.date.issued2024
dc.departmentİstinye Üniversitesien_US
dc.description.abstractTo capture collective opinions/evaluations in a collection of individual linguistic expressions, this study proposes an approach to construct order-2 information granules by extending the numerical data-based principles of justifiable granularity to a linguistic data-based one. First, the two key criteria of the principle of justifiable granularity, namely coverage and specificity, are formally defined in the context of order-2 information granules. Second, three order-2 information granules construction models by maximizing the product of coverage and specificity are developed for coping with one-dimensional direct linguistic expressions, linguistic preference relations, and multi-dimensional direct linguistic expressions, respectively. Third, considering that the developed order-2 information granules construction models exhibit a non-linear uncertain objective function and equality constraints, the constrained multi-swarm PSO without velocity is improved with the use of the ? constrained handling technique for effectively solving the models. Case studies on the considered three types of linguistic expressions show the applicability of the proposed models and ensuing algorithm. The superiority of the improved algorithm in handling the proposed models is demonstrated by comparison with the original one. The effectiveness of the proposed models in terms of abnormal corrective ability and balance of coverage and specificity is verified by comparing with a family of Top-n methods. The originality of this study lies in the construction of an operational entity, namely order-2 information granule, that reflects the group opinion without specifying the formalism of individual linguistic expressions, which provides an effective and efficient way to aggregate ubiquitous linguistic information for subsequent computation, reasoning and decision-making. © 2024 Elsevier B.V.en_US
dc.description.sponsorshipNational Natural Science Foundation of China, NSFC: 92367206, 72188101, 72171069, 72101075, 71501055, 72071060, 72071063, 71690230, 71690235; Fundamental Research Funds for the Central Universities: JZ2020HGQA0168en_US
dc.description.sponsorshipThis research was supported by the National Natural Science Foundation of China (Nos. 92367206, 72171069, 72188101 and 72101075).en_US
dc.description.sponsorshipThis research was supported by the National Natural Science Foundation of China (Nos. 71501055 , 71690230 , 71690235 , 72071063 , and 72071060 ), and the Fundamental Research Funds for the Central Universities (No. JZ2020HGQA0168 ).en_US
dc.identifier.doi10.1016/j.ejor.2024.04.017
dc.identifier.issn0377-2217
dc.identifier.scopus2-s2.0-85191429377en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.ejor.2024.04.017
dc.identifier.urihttps://hdl.handle.net/20.500.12713/4307
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier B.V.en_US
dc.relation.ispartofEuropean Journal of Operational Researchen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectComputing With Wordsen_US
dc.subjectJustifiable Granularityen_US
dc.subjectLinguistic Preference Relationsen_US
dc.subjectOrder-2 İnformation Granuleen_US
dc.titleConstructing order-2 information granules of linguistic expressions with the aid of the principle of justifiable granularityen_US
dc.typeArticleen_US

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