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Despite most of them using the combination of associative aggregators and fuzzy negations, other connectives such as (general) overlap\/grouping functions may be a better strategy. Since these possibly non-associative operators have been successfully used in many applications, such as decision making, classification and image processing, the idea of this work is to continue previous studies related to fuzzy implication functions derived from general overlap functions. In order to obtain a more general and flexible context, we extend the class of implications derived by fuzzy negations and t-norms, replacing the latter by general overlap functions, obtaining the so-called (GO,N)-implication functions. We also investigate their properties, the aggregation of (GO,N)-implication functions, their characterization and the intersections with other classes of fuzzy implication functions.<\/jats:p>","DOI":"10.3390\/axioms12010017","type":"journal-article","created":{"date-parts":[[2022,12,27]],"date-time":"2022-12-27T02:55:07Z","timestamp":1672109707000},"page":"17","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["On Fuzzy Implications Derived from General Overlap Functions and Their Relation to Other Classes"],"prefix":"10.3390","volume":"12","author":[{"given":"Jocivania","family":"Pinheiro","sequence":"first","affiliation":[{"name":"Departamento de Ci\u00eancias Naturais, Matem\u00e1tica e Estat\u00edstica, Universidade Federal Rural do Semi-\u00c1rido, Mossor\u00f3 59625-900, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2994-2862","authenticated-orcid":false,"given":"Helida","family":"Santos","sequence":"additional","affiliation":[{"name":"Centro de Ci\u00eancias Computacionais, Universidade Federal do Rio Grande, Rio Grande 96201-900, Brazil"},{"name":"Institute of Smart Cities, Universidad P\u00fablica de Navarra, 31006 Pamplona, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gra\u00e7aliz P.","family":"Dimuro","sequence":"additional","affiliation":[{"name":"Centro de Ci\u00eancias Computacionais, Universidade Federal do Rio Grande, Rio Grande 96201-900, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6757-7934","authenticated-orcid":false,"given":"Benjamin","family":"Bedregal","sequence":"additional","affiliation":[{"name":"Departamento de Inform\u00e1tica e Matem\u00e1tica Aplicada, Universidade Federal do Rio Grande do Norte, Natal 59072-970, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4991-9603","authenticated-orcid":false,"given":"Regivan H. 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