Alcalde, CristinaBurusco Juandeaburre, AnaDíaz Moreno, Juan CarlosMedina, Jesús2018-07-032018-12-0120170218-4885 (Print)1793-6411 (Electronic)10.1142/s0218488517400050https://academica-e.unavarra.es/handle/2454/29054Electronic 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/s0218488517400050This 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.application/pdfeng© World Scientific Publishing CompanyRough setsFuzzy setsFuzzy mathematical morphologyinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess