Multi-argument fuzzy measures on lattices of fuzzy sets

Castiñeira Holgado, Elena, Calvo Sánchez, Tomasa and Cubillo Villanueva, Susana ORCID: https://orcid.org/0000-0002-6473-6039 (2013). Multi-argument fuzzy measures on lattices of fuzzy sets. "Knowledge-based systems", v. 53 (n. null); pp. 27-39. ISSN 0950-7051. https://doi.org/10.1016/j.knosys.2013.07.019.

Descripción

Título: Multi-argument fuzzy measures on lattices of fuzzy sets
Autor/es:
Tipo de Documento: Artículo
Título de Revista/Publicación: Knowledge-based systems
Fecha: 2013
ISSN: 0950-7051
Volumen: 53
Número: null
Materias:
ODS:
Palabras Clave Informales: Lattice; Aggregation function; t-Norm; t-Conorm; Negation; Fuzzy measure; Incompatibility multi-measure; Compatibility multi-measure; Supplementarity multi-measure; Unsupplementarity multi-measure
Escuela: Facultad de Informática (UPM) [antigua denominación]
Departamento: Matemática Aplicada
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

In this paper, we axiomatically introduce fuzzy multi-measures on bounded lattices. In particular, we make a distinction between four different types of fuzzy set multi-measures on a universe X, considering both the usual or inverse real number ordering of this lattice and increasing or decreasing monotonicity with respect to the number of arguments. We provide results from which we can derive families of measures that hold for the applicable conditions in each case.

Más información

ID de Registro: 34882
Identificador DC: https://oa.upm.es/34882/
Identificador OAI: oai:oa.upm.es:34882
URL Portal Científico: https://portalcientifico.upm.es/es/ipublic/item/5489089
Identificador DOI: 10.1016/j.knosys.2013.07.019
URL Oficial: http://www.sciencedirect.com/science/article
Depositado por: Memoria Investigacion
Depositado el: 17 Abr 2015 07:51
Ultima Modificación: 12 Nov 2025 00:00