On some classes of directionally monotone functions

In this work we consider some classes of functions with relaxed monotonicity conditions generalizing some other given classes of fusion functions. In particular, directionally increasing aggregation functions (called also pre-aggregation functions), directionally increasing conjunctors, or direction...

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Detalles Bibliográficos
Autores: Bustince Sola, Humberto, Mesiar, Radko, Kolesárová, Anna, Pereira Dimuro, Graçaliz, Fernández Fernández, Francisco Javier, Díaz, Irene, Montes Rodríguez, Susana
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2020
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:2454/37100
Acceso en línea:https://hdl.handle.net/2454/37100
Access Level:acceso abierto
Palabra clave:Directional monotonicity
Classes of directionally increasing functions
Pre-aggregation functions
Descripción
Sumario:In this work we consider some classes of functions with relaxed monotonicity conditions generalizing some other given classes of fusion functions. In particular, directionally increasing aggregation functions (called also pre-aggregation functions), directionally increasing conjunctors, or directionally increasing implications, etc., generalize the standard classes of aggregation functions, conjunctors, or implication functions, respectively. We analyze different properties of these classes of functions and we discuss a construction method in terms of linear combinations of t-norms.