Multi-argument fuzzy measures on lattices of fuzzy sets

Castiñeira Holgado, Elena and Calvo Sánchez, Tomasa and Cubillo Villanueva, Susana (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.

Description

Title: Multi-argument fuzzy measures on lattices of fuzzy sets
Author/s:
  • Castiñeira Holgado, Elena
  • Calvo Sánchez, Tomasa
  • Cubillo Villanueva, Susana
Item Type: Article
Título de Revista/Publicación: Knowledge-based systems
Date: 2013
ISSN: 0950-7051
Volume: 53
Subjects:
Freetext Keywords: Lattice; Aggregation function; t-Norm; t-Conorm; Negation; Fuzzy measure; Incompatibility multi-measure; Compatibility multi-measure; Supplementarity multi-measure; Unsupplementarity multi-measure
Faculty: Facultad de Informática (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

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.

More information

Item ID: 34882
DC Identifier: http://oa.upm.es/34882/
OAI Identifier: oai:oa.upm.es:34882
DOI: 10.1016/j.knosys.2013.07.019
Official URL: http://www.sciencedirect.com/science/article
Deposited by: Memoria Investigacion
Deposited on: 17 Apr 2015 07:51
Last Modified: 17 Nov 2017 09:12
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