Constructing interval-valued fuzzy material implication functions derived from general interval-valued grouping functions
Fecha
2022Autor
Versión
Acceso abierto / Sarbide irekia
Tipo
Contribución a congreso / Biltzarrerako ekarpena
Versión
Versión aceptada / Onetsi den bertsioa
Identificador del proyecto
Impacto
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10.1109/FUZZ-IEEE55066.2022.9882745
Resumen
Grouping functions and their dual counterpart,
overlap functions, have drawn the attention of many authors,
mainly because they constitute a richer class of operators compared to other types of aggregation functions. Grouping functions
are a useful theoretical tool to be applied in various problems, like
decision making based on fuzzy preference relations. In pairwise
comparisons, for instan ...
[++]
Grouping functions and their dual counterpart,
overlap functions, have drawn the attention of many authors,
mainly because they constitute a richer class of operators compared to other types of aggregation functions. Grouping functions
are a useful theoretical tool to be applied in various problems, like
decision making based on fuzzy preference relations. In pairwise
comparisons, for instance, those functions allow one to convey
the measure of the amount of evidence in favor of either of two
given alternatives. Recently, some generalizations of grouping
functions were proposed, such as (i) the n-dimensional grouping
functions and the more flexible general grouping functions, which
allowed their application in n-dimensional problems, and (ii)
n-dimensional and general interval-valued grouping functions,
in order to handle uncertainty on the definition of the membership functions in real-life problems. Taking into account
the importance of interval-valued fuzzy implication functions in
several application problems under uncertainty, such as fuzzy
inference mechanisms, this paper aims at introducing a new
class of interval-valued fuzzy material implication functions. We
study their properties, characterizations, construction methods
and provide examples. [--]
Materias
Fuzzy material implication functions,
General interval-valued grouping functions,
Grouping functions
Editor
IEEE
Publicado en
2022 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE) 1-8
Departamento
Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas /
Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila /
Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute of Smart Cities - ISC
Versión del editor
Entidades Financiadoras
upported by CNPq (301618/2019-4, 311429/2020-3), FAPERGS (19/2551-0001660-3), UFERSA, the Spanish Ministry of Science and Technology (TIN2016-77356-P, PID2019-108392GB I00 (MCIN/AEI/10.13039/501100011033)) and Navarra de Servicios y Tecnologías, S.A. (NASERTIC).
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