Fuzzy concept lattices and fuzzy relation equations in the retrieval processing of images and signals

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Date
2017Version
Acceso abierto / Sarbide irekia
Type
Artículo / Artikulua
Version
Versión aceptada / Onetsi den bertsioa
Project Identifier
ES/1PE/TIN2016-77356-P ES/1PE/TIN2016-76653-P
Impact
|
10.1142/s0218488517400050
Abstract
This paper considers the introduced relations between fuzzy property-oriented concept
lattices and fuzzy relation equations, on the one hand, and mathematical morphology,
on the other hand, in the retrieval processing of images and signals. In the first part,
it studies how the original images and signals can be retrieved using fuzzy propertyoriented
concept lattices and fuzzy relation equati ...
[++]
This paper considers the introduced relations between fuzzy property-oriented concept
lattices and fuzzy relation equations, on the one hand, and mathematical morphology,
on the other hand, in the retrieval processing of images and signals. In the first part,
it studies how the original images and signals can be retrieved using fuzzy propertyoriented
concept lattices and fuzzy relation equations. In the second one we analyze two
of the most important tools in fuzzy mathematical morphology from the point of view
of the fuzzy property-oriented concepts and the aforementioned study. Both parts are
illustrated with practical examples. [--]
Subject
Rough sets,
Fuzzy sets,
Fuzzy mathematical morphology
Publisher
World Scientific
Published in
International Journal of Uncertainty,
Fuzziness and Knowledge-Based Systems
Vol. 25, Suppl. 1 (December 2017) 99–120
Description
Electronic version of an article published as International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems Vol. 25, Suppl. 1 (December 2017) 99-120 © World Scientific Publishing Company DOI: 10.1142/s0218488517400050
Departament
Universidad Pública de Navarra. Departamento de Automática y Computación /
Nafarroako Unibertsitate Publikoa. Automatika eta Konputazioa Saila
Publisher version
Sponsorship
C. Alcade and A. Burusco are partially supported by the Research Group “Intelligent Systems and Energy (SI+E)” of the Basque Government, under Grant IT677-13, by the Research Group “Artificial Intelligence and Approximate Reasoning” of the Public University of Navarra, and by Spanish Ministry of Science project TIN2016-77356-P. J. C. Díaz-Moreno and J. Medina are partially supported by the State Research Agency (AEI) and the European Regional Development Fund (FEDER) project TIN2016-76653-P.