(IEEE, 2017-08-31) López Molina, Carlos; Marco Detchart, Cedric; Bustince Sola, Humberto; Fernández Fernández, Francisco Javier; López Maestresalas, Ainara; Ayala Martini, Daniela; Automática y Computación; Automatika eta Konputazioa; Proyectos e Ingeniería Rural; Landa Ingeniaritza eta Proiektuak
Similarity measures, as studied in the context of fuzzy set theory, have been proven applicable to many different fields. Surely, their primary role is to model the perceived (dis-) similarity between two fuzzy sets or, equivalently, the linguistic terms they represent. However, the richness of the dedicated study makes the similarity measures portable to other contexts in which quantitative comparison plays a key role. In this work we present the application of similarity measures to hyperspectrum comparison in the context of in-lab hyperspectral imaging for bioengineering.
(IEEE, 2023) Ferrero Jaurrieta, Mikel; Takáč, Zdenko; Rodríguez Martínez, Iosu; Marco Detchart, Cedric; Bernardini, Ángela; Fernández Fernández, Francisco Javier; López Molina, Carlos; Bustince Sola, Humberto; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika
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.
