Bustince, HumbertoBarrenechea, EdurneFernández Castillo, JesúsPagola, MiguelMontero De Juan, Francisco JavierMagdalena, LuisVerdegay, José LuisEsteva, Francesc2023-06-192023-06-192015Bustince, H., Barrenechea, E., Fernández, J., Pagola, M., Montero, J.: Generation of Interval-Valued Fuzzy Negations from Trillas’ Theorem. The Case of Interval Type-2 Fuzzy Sets. En: Magdalena, L., Verdegay, J.L., y Esteva, F. (eds.) Enric Trillas: A Passion for Fuzzy Sets. pp. 93-108. Springer International Publishing, Cham (2015)978-3-319-16234-810.1007/978-3-319-16235-5_8https://hdl.handle.net/20.500.14352/35725In this work we introduce a method for building interval-valued negations using the characterization theorem for strong negations which was proposed by Trillas in 1979. We also show that interval type-2 fuzzy sets are a three dimensional representation of interval-valued fuzzy sets and we analyze the problems to build complementation for such interval type-2 fuzzy sets. We finally propose a method to construct this complementation.engbook parthttps//doi.org/10.1007/978-3-319-16235-5_8http://link.springer.com/chapter/10.1007/978-3-319-16235-5_8restricted access510.64Interval-valued negationInterval-valud fuzzy setsInterval type 2 fuzzy setComplementationLógica simbólica y matemática (Matemáticas)1102.14 Lógica Simbólica