Application of two different methods for extending lattice-valued restricted equivalence functions used for constructing similarity measures on L-fuzzy sets
Fecha
2018Autor
Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Identificador del proyecto
ES/1PE/TIN2016-77356-P
Impacto
|
10.1016/j.ins.2018.02.022
Resumen
Based on previous investigations, we have proposed two different methods
to extend lattice-valued fuzzy connectives (t-norms, t-conorms, negations
and implications) and other related operators, considering a generalized notion
of sublattices. Taking into account the results obtained and seeking to
analyze the behavior of both extension methods in face of fuzzy operators
related to image proc ...
[++]
Based on previous investigations, we have proposed two different methods
to extend lattice-valued fuzzy connectives (t-norms, t-conorms, negations
and implications) and other related operators, considering a generalized notion
of sublattices. Taking into account the results obtained and seeking to
analyze the behavior of both extension methods in face of fuzzy operators
related to image processing, we have applied these methods so as to extend
restricted equivalence functions, restricted dissimilarity functions and
Ee,N-normal functions. We also generalize the concepts of similarity measure,
distance measure and entropy measure for L-fuzzy sets constructing
them via restricted equivalence functions, restricted dissimilarity functions
and Ee,N-normal functions [--]
Materias
Fuzzy logic,
Restricted equivalence functions,
Retractions,
Extension,
E-operators
Editor
Elsevier
Publicado en
Information Sciences, 441 (2018) 95–112
Departamento
Universidad Pública de Navarra. Departamento de Automática y Computación /
Nafarroako Unibertsitate Publikoa. Automatika eta Konputazioa Saila /
Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute of Smart Cities - ISC
Versión del editor
Entidades Financiadoras
This work was partially supported by the Brazilian Funding Agency CNPq under the Process 307781/2016-0, the Research
Services of Universidad Publica de Navarra and by the research project TIN2016-77356-P from MINECO, AEI/FEDER, UE.