García-Zamora, DiegoPaiva, RuiCruz, AndersonFernández Fernández, Francisco JavierBustince Sola, Humberto2023-10-162023-10-162023García-Zamora, D., Paiva, R., Cruz, A., Fernandez, J., & Bustince, H. (2023). Some Construction Methods for Pseudo-Overlaps and Pseudo-Groupings and Their Application in Group Decision Making. Axioms, 12(6), 589. https://doi.org/10.3390/axioms120605892075-168010.3390/axioms12060589https://academica-e.unavarra.es/handle/2454/46546In many real-world scenarios, the importance of different factors may vary, making commutativity an unreasonable assumption for aggregation functions, such as overlaps or groupings. To address this issue, researchers have introduced pseudo-overlaps and pseudo-groupings as their corresponding non-commutative generalizations. In this paper, we explore various construction methods for obtaining pseudo-overlaps and pseudo-groupings using overlaps, groupings, fuzzy negations, convex sums, and Riemannian integration. We then show the applicability of these construction methods in a multi-criteria group decision-making problem, where the importance of both the considered criteria and the experts vary. Our results highlight the usefulness of pseudo-overlaps and pseudo-groupings as a non-commutative alternative to overlaps and groupings.application/pdfeng© 2023 by the authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.Group decision makingPseudo-groupingPseudo-overlapinfo:eu-repo/semantics/article2023-10-16info:eu-repo/semantics/openAccess