Botelho, CeciliaGalvao, AlessandraSantos, HelidaPinheiro, JocivaniaCallejas Bedregal, BenjaminYamin, AdenauerReiser, Renata2023-03-032023-03-032022Botelho, C., Galvao, A., Santos, H., Pinheiro, J., Bedregal, B., Yamin, A., & Reiser, R. (2022). Generalization of QL-operators based on general overlap and general grouping functions. 2022 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 1-8. https://doi.org/10.1109/FUZZ-IEEE55066.2022.9882638978-1-6654-6710-010.1109/FUZZ-IEEE55066.2022.9882638https://academica-e.unavarra.es/handle/2454/44852Firstly, this work discusses the main conditions guarantying that general overlap (grouping) functions can be obtained from n-dimensional overlap (grouping) functions. Focusing on QL-implications, which are usually generated by strong negations together with t-norms and t-conorms, we consider a non-restrictive construction, by relaxing not only the associativity and the corresponding neutral elements (NE) but also the reverse construction of other properties. Thus, the main properties of the QL-implication class are studied, considering a tuple (G,N,O) generated from grouping and overlap functions together with the greatest fuzzy negation. In addition, in order to provide more flexibility, we define a subclass of QL-implications generated from general overlap and general grouping functions. Some examples are introduced, illustrating the constructive methods to generate such operators.application/pdfeng© 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other work.Aggregation functionFuzzy ImplicationGeneral Grouping FunctionGeneral Overlap FunctionQL-implicationinfo:eu-repo/semantics/conferenceObject2023-03-03Acceso abierto / Sarbide irekiainfo:eu-repo/semantics/openAccess