From restricted equivalence functions on Ln to similarity measures between fuzzy multisets
Fecha
2023Autor
Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Identificador del proyecto
Impacto
|
10.1109/TFUZZ.2023.3235405
Resumen
Restricted equivalence functions are well-known
functions to compare two numbers in the interval between 0
and 1. Despite the numerous works studying the properties of
restricted equivalence functions and their multiple applications
as support for different similarity measures, an extension of these
functions to an n-dimensional space is absent from the literature.
In this paper, we present ...
[++]
Restricted equivalence functions are well-known
functions to compare two numbers in the interval between 0
and 1. Despite the numerous works studying the properties of
restricted equivalence functions and their multiple applications
as support for different similarity measures, an extension of these
functions to an n-dimensional space is absent from the literature.
In this paper, we present a novel contribution to the restricted
equivalence function theory, allowing to compare multivalued
elements. Specifically, we extend the notion of restricted equivalence functions from L to L
n
and present a new similarity
construction on L
n
. Our proposal is tested in the context of
color image anisotropic diffusion as an example of one of its
many applications. [--]
Materias
Anisotropic diffusion,
Color,
Color image,
Fuzzy multiset,
Fuzzy set theory,
Fuzzy sets,
Image color analysis,
Proposals,
Restricted equivalence function,
Similarity measure,
Task analysis,
Taxonomy
Editor
IEEE
Publicado en
IEEE Transactions on Fuzzy Systems, 1-14
Departamento
Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas /
Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila
Versión del editor
Entidades Financiadoras
The authors gratefully acknowledge the financial support of the grant PID2019-108392GB-I00 funded by
MCIN/AEI/10.13039/50110001103, as well as grant VEGA
1/0545/20. Also, the financial support of Consellería
d’Innovacio, Universitats, Ciencia i Societat Digital from Comunitat Valenciana (APOSTD/2021/227) and the European Social Fund (Investing In Your Future) and to Tracasa Instrumental and the Immigration Policy and Justice Department of
the Government of Navarre.