Universal Quintuple Implicational Algorithm: A Unified Granular Computing Framework

Basit Öğe Kaydı
dc.authoridTang, Yiming/0000-0002-0917-2277;
dc.authorwosidTang, Yiming/AAL-6708-2020
dc.authorwosidCHEN, Jingjing/JFA-0829-2023
dc.contributor.authorTang, Yiming
dc.contributor.authorChen, Jingjing
dc.contributor.authorPedrycz, Witold
dc.contributor.authorRen, Fuji
dc.contributor.authorZhang, Li
dc.date.accessioned2024-05-19T14:40:20Z
dc.date.available2024-05-19T14:40:20Z
dc.date.issued2024
dc.departmentİstinye Üniversitesien_US
dc.description.abstractIn the field of fuzzy inference, the universal triple I algorithm integrated the CRI (Compositional Rule of Inference) algorithm with the triple I algorithm. Later the triple I algorithm was generalized to the QIP (quintuple implication principle) algorithm. Whether the QIP algorithm and the CRI algorithm can be unified has become an interesting question. Therefore, in this study, a fuzzy inference scheme referred to as the universal quintuple implicational (UQI) algorithm is proposed. First, we establish a unified granular computing framework with the UQI algorithm, which is a generalization of the QIP algorithm, the CRI algorithm as well as the universal triple I algorithm. The optimal UQI solutions derived from the fundamental principle of determining inference results are obtained for the FMP (fuzzy modus ponens) problem, in which some specific solutions are also given. Second, the reversible property of the UQI algorithm is verified for FMP, while aiming at the metric derived from the biresiduum operation, the robustness of the UQI algorithm is validated. Third, under the environment of multiple rules, two general cases of FITA (First-Inference-Then-Aggregate) and FATI (First-Aggregate-Then-Inference) are constructed for the UQI algorithm. The corresponding equivalence relation between continuity and interpolation is analyzed. Fourth, the fuzzy system is established based on the UQI algorithm, the singleton fuzzier as well as the centroid defuzzier. Its response ability is analyzed and it is shown that such fuzzy system is a universal approximator. Lastly, we compare the results of the UQI algorithm with the QIP algorithm by five examples for FMP. It is found that the UQI algorithm is able to acquire more and better forms of the fuzzy inference in contrast with the QIP algorithm.en_US
dc.description.sponsorshipNational Key Research and Development Program of China [2020YFC1523100]; National Natural Science Foundation of China [62176083, 62277014, 62176084]; Fundamental Research Funds for the Central Universities of China [PA2023GDSK0061]en_US
dc.description.sponsorshipThis work was supported in part by the National Key Research and Development Program of China under Grant 2020YFC1523100, in part by the National Natural Science Foundation of China under Grants 62176083, 62277014, and 62176084, and in part by the Fundamental Research Funds for the Central Universities of China under Grant PA2023GDSK0061.en_US
dc.identifier.doi10.1109/TETCI.2023.3327719
dc.identifier.endpage1056en_US
dc.identifier.issn2471-285X
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85177090718en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1044en_US
dc.identifier.urihttps://doi.org10.1109/TETCI.2023.3327719
dc.identifier.urihttps://hdl.handle.net/20.500.12713/4944
dc.identifier.volume8en_US
dc.identifier.wosWOS:001103674800001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIeee-Inst Electrical Electronics Engineers Incen_US
dc.relation.ispartofIeee Transactions on Emerging Topics In Computational Intelligenceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectCompositional Rule Of Inferenceen_US
dc.subjectFuzzy Inferenceen_US
dc.subjectFuzzy Systemen_US
dc.subjectGranular Computingen_US
dc.subjectTriple I Algorithmen_US
dc.titleUniversal Quintuple Implicational Algorithm: A Unified Granular Computing Frameworken_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu