RT Book, Section
T1 Generation of Interval-Valued Fuzzy Negations from Trillas’ Theorem. The Case of Interval Type-2 Fuzzy Sets
A1 Bustince, Humberto
A1 Barrenechea, Edurne
A1 Fernández Castillo, Jesús
A1 Pagola, Miguel
A1 Montero De Juan, Francisco Javier
A2 Magdalena, Luis
A2 Verdegay, José Luis
A2 Esteva, Francesc
AB In 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.
PB Springer International Publishing
SN 978-3-319-16234-8
YR 2015
FD 2015
LK https://hdl.handle.net/20.500.14352/35725
UL https://hdl.handle.net/20.500.14352/35725
LA eng
NO Bustince, 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)
NO Ministerio de Ciencia, Innovación y Universidades (España)
DS Docta Complutense
RD 10 abr 2025