From restricted equivalence functions on Ln to similarity measures between fuzzy multisets
| Autor: | Mikel Ferrero-Jaurrieta, Zdenko Takac, Iosu Rodriguez-Martinez, Cedric Marco-Detchart, Angela Bernardini, Javier Fernandez, Carlos Lopez-Molina, Humberto Bustince |
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| Přispěvatelé: | Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas, Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila |
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: |
Fuzzy sets
Applied Mathematics Restricted equivalence function Color Anisotropic diffusion Image color analysis Computational Theory and Mathematics Color image Artificial Intelligence Control and Systems Engineering Fuzzy multiset Similarity measure Task analysis Proposals Fuzzy set theory Taxonomy |
| Popis: | 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. 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. |
| Databáze: | OpenAIRE |
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