Generalized extended Bonferroni means for isomorphic membership grades

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dc.authorscopusidWitold Pedrycz / 58861905800
dc.authorwosidWitold Pedrycz / HJZ-2779-2023
dc.contributor.authorChen, Zhen Song
dc.contributor.authorYang, Yi
dc.contributor.authorJin, LeSheng
dc.contributor.authorDutta, Bapi
dc.contributor.authorMartínez, Luis
dc.contributor.authorPedrycz, Witold
dc.contributor.authorMesiar, Radko
dc.contributor.authorBustince, Humberto
dc.date.accessioned2025-04-18T10:10:27Z
dc.date.available2025-04-18T10:10:27Z
dc.date.issued2024
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractThe generalized extended Bonferroni mean (GEBM) is a powerful tool for modeling the complex process of aggregating information, whether it is homogeneously or heterogeneously connected, within a composite aggregation structure. It maintains several favorable characteristics and effectively captures the diverse and interconnected nature of expert opinions or criteria, which is commonly observed in various decision-making contexts. This research expands upon the existing GEBM framework by applying it to the specific domains of q-rung orthopair fuzzy sets (q-ROFSs) and extended q-rung orthopair fuzzy sets (Eq-ROFSs). Furthermore, it examines the transformation processes among different variants of GEBMs. To facilitate the development of generalized aggregation functions, the de Morgan triplets for q-ROFSs and Eq-ROFSs are established. By introducing an isomorphism, the transformation relationship between the aggregation functions for q-ROFSs and Eq-ROFSs is analyzed. Based on this foundation, the Bonferroni mean de Morgan triplet-based GEBMs for q-ROFSs and Eq-ROFSs are proposed, and the keeping-order relations for these proposed GEBMs are discussed. Finally, several special cases of the GEBMs for q-ROFSs and Eq-ROFSs are obtained, and several relevant theorems are verified. © 2024 Elsevier B.V.
dc.description.sponsorshipHunan Province Youth Backbone Teacher Funding Program, Spanish University System, National Natural Science Foundation of China, Science and Technology Program of Hubei Province, Science and Technology Program of Hubei Province
dc.identifier.citationChen, Z. S., Yang, Y., Jin, L., Dutta, B., Martínez, L., Pedrycz, W., ... & Bustince, H. (2024). Generalized extended Bonferroni means for isomorphic membership grades. Fuzzy Sets and Systems, 488, 109009.
dc.identifier.doi10.1016/j.fss.2024.109009
dc.identifier.issn01650114
dc.identifier.scopus2-s2.0-85193489497
dc.identifier.scopusqualityQ1
dc.identifier.urihttp://dx.doi.org/10.1016/j.fss.2024.109009
dc.identifier.urihttps://hdl.handle.net/20.500.12713/6978
dc.identifier.volume488
dc.identifier.wosWOS:001295290400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.institutionauthorPedrycz, Witold
dc.institutionauthoridWitold Pedrycz / 0000-0002-9335-9930
dc.language.isoen
dc.publisherElsevier B.V.
dc.relation.ispartofFuzzy Sets and Systems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAggregation Function
dc.subjectDe Morgan Triplet
dc.subjectExtended Bonferroni Mean
dc.subjectGeneralized Extended Bonferroni Mean
dc.subjectQ-rung Orthopair Membership Grades
dc.titleGeneralized extended Bonferroni means for isomorphic membership grades
dc.typeArticle

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