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Characterization of fuzzy preference structures through Łukasiewicz triplets Llamazares Rodríguez, Bonifacio Fuzzy relations Lukasiewicz triplets Fuzzy preference structures Producción Científica In this paper we characterize the reconstruction of a fuzzy set from its subsets by means of Lukasiewicz triplets. This result allows us to introduce a new definition of fuzzy strict preference, which is also satisfied in the crisp framework. The usual definitions of fuzzy indiference and fuzzy incomparability together with this one enable to construct and to characterize fuzzy preference structures from a reflexive fuzzy binary relation. Ministerio de Ciencia y Tecnología (Proyecto BEC2001-2253) and FEDER Junta de Castilla y León (Consejería de Educación y Cultura, Proyecto VA057/02) 2019-06-08T07:46:43Z 2019-06-08T07:46:43Z 2003 info:eu-repo/semantics/article Fuzzy Sets and Systems, 2003, vol. 136, n. 2, p. 217-235 0165-0114 http://uvadoc.uva.es/handle/10324/36235 10.1016/S0165-0114(02)00386-X eng https://doi.org/10.1016/S0165-0114(02)00386-X info:eu-repo/semantics/restrictedAccess Elsevier application/pdf Elsevier https://uvadoc.uva.es/bitstream/10324/36235/5/2003FSS.pdf.jpg Hispana TEXT http://rightsstatements.org/vocab/CNE/1.0/ UVaDOC. Repositorio Documental de la Universidad de Valladolid http://uvadoc.uva.es/handle/10324/36235