Some construction methods for pseudo-overlaps and pseudo-groupings and their application in group decision making

In 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-com...

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Detalles Bibliográficos
Autores: García-Zamora, Diego; Paiva, Rui; Cruz, Anderson; Fernández Fernández, Francisco Javier; Bustince Sola, Humberto
Tipo de documento: Artículo
Estado:Published version
Fecha de publicación:2023
País:España
Institución:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/46546
Acceso en línea:https://hdl.handle.net/2454/46546
Nivel de acceso:Acceso abierto
Palabra clave:Group decision making
Pseudo-grouping
Pseudo-overlap
Descripción
Sumario:In 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.