Pinheiro, JocivaniaSantos, HelidaPereira Dimuro, GraçalizBedregal, BenjaminSantiago, RegivanFernández Fernández, Francisco JavierBustince Sola, Humberto2023-03-312023-03-312023Pinheiro, J., Santos, H., Dimuro, G. P., Bedregal, B., Santiago, R. H. N., Fernandez, J., & Bustince, H. (2022). On Fuzzy Implications Derived from General Overlap Functions and Their Relation to Other Classes. Axioms, 12(1), 17. https://doi.org/10.3390/axioms120100172075-168010.3390/axioms12010017https://academica-e.unavarra.es/handle/2454/44997There are distinct techniques to generate fuzzy implication functions. 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.application/pdfeng© 2022 by the authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.Aggregation functionsGeneral overlap functionsGrouping functionsImplication functionsOverlap functionsinfo:eu-repo/semantics/article2023-03-31info:eu-repo/semantics/openAccess