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Congruence relations and direct decomposition of uninorms on bounded lattices

dc.contributor.authorKaraçal, Funda
dc.contributor.authorErtuğrul, Ümit
dc.contributor.authorArpacı, Samet
dc.contributor.authorKesicioğlu, Mücahide Nesibe
dc.date.accessioned2024-02-09T12:56:59Z
dc.date.available2024-02-09T12:56:59Z
dc.date.issued2023en_US
dc.identifier.citationKaraçal, F., Ertuğrul, Ü., Arpacı, S. & Kesicioğlu, M.N. (2023). Congruence Relations and Direct Decomposition of Uninorms on Bounded Lattices. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 31(6), 1033-1059. https://doi.org/10.1142/S0218488523500460en_US
dc.identifier.issn0218-4885
dc.identifier.urihttps://doi.org/10.1142/S0218488523500460
dc.identifier.urihttps://hdl.handle.net/11436/8763
dc.description.abstractIn this paper, the concept of U-compatible congruence and its related properties are studied. We also focus on homomorphism theorems for uninorms. Decomposition of uninorms is investigated via factor congruences, at first. Subsequently, we investigate decomposition of conjunctive and disjunctive uninorms, respectively. After all, we determine necessary and sufficient conditions for decomposition of some uninorms that are neither conjunctive nor disjunctive. In addition to all these, we shed light on the application of our results with the examples.en_US
dc.language.isoengen_US
dc.publisherWorld Scientificen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBounded latticeen_US
dc.subjectCongruenceen_US
dc.subjectFactor congruenceen_US
dc.subjectU-idempotent elementen_US
dc.subjectUninormen_US
dc.titleCongruence relations and direct decomposition of uninorms on bounded latticesen_US
dc.typearticleen_US
dc.contributor.departmentRTEÜ, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.contributor.institutionauthorKesicioğlu, Mücahide Nesibe
dc.identifier.doi10.1142/S0218488523500460en_US
dc.identifier.volume31en_US
dc.identifier.issue6en_US
dc.identifier.startpage1033en_US
dc.identifier.endpage1059en_US
dc.relation.journalInternational Journal of Uncertainty, Fuzziness and Knowledge-Based Systemen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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