Pereira Dimuro, GraçalizSantos, HelidaDa Cruz Asmus, TiagoWieczynski, JonataPinheiro, JocivaniaBedregal, BenjaminBustince Sola, Humberto2023-03-072023-03-072022Dimuro, G. P., Santos, H., Asmus, T., Wieczynski, J., Pinheiro, J., Bedregal, B., & Bustince, H. (2022). Constructing interval-valued fuzzy material implication functions derived from general interval-valued grouping functions. 2022 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 1-8. https://doi.org/10.1109/FUZZ-IEEE55066.2022.9882745978-1-6654-6710-010.1109/FUZZ-IEEE55066.2022.9882745https://academica-e.unavarra.es/handle/2454/44872Grouping functions and their dual counterpart, overlap functions, have drawn the attention of many authors, mainly because they constitute a richer class of operators compared to other types of aggregation functions. Grouping functions are a useful theoretical tool to be applied in various problems, like decision making based on fuzzy preference relations. In pairwise comparisons, for instance, those functions allow one to convey the measure of the amount of evidence in favor of either of two given alternatives. Recently, some generalizations of grouping functions were proposed, such as (i) the n-dimensional grouping functions and the more flexible general grouping functions, which allowed their application in n-dimensional problems, and (ii) n-dimensional and general interval-valued grouping functions, in order to handle uncertainty on the definition of the membership functions in real-life problems. Taking into account the importance of interval-valued fuzzy implication functions in several application problems under uncertainty, such as fuzzy inference mechanisms, this paper aims at introducing a new class of interval-valued fuzzy material implication functions. We study their properties, characterizations, construction methods and provide examples.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.Fuzzy material implication functionsGeneral interval-valued grouping functionsGrouping functionsinfo:eu-repo/semantics/conferenceObject2023-03-06info:eu-repo/semantics/openAccess