RT journal article
T1 The f-index of inclusion as optimal adjoint pair for fuzzy modus ponens
A1 Madrid Labrador, Nicolás Miguel
A1 Ojeda Aciego, Manuel
A2 Matemáticas
K1 Fuzzy logic
K1 f-index of inclusion
K1 Fuzzy inclusion
K1 Inclusion measures
K1 Residuated lattice
K1 Galois connection
AB We continue studying the properties of the f-index of inclusion and show that, given a fixed pair of fuzzy sets, their f-index of inclusion can be linked to a fuzzy conjunction which is part of an adjoint pair. We also show that, when this pair is used as the underlying structure to provide a fuzzy interpretation of the modus ponens inference rule, it provides the maximum possible truth-value in the conclusion among all those values obtained by fuzzy modus ponens using any other possible adjoint pair.
PB Elsevier
SN 0165-0114
YR 2023
FD 2023-08
LK http://hdl.handle.net/10498/38482
UL http://hdl.handle.net/10498/38482
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026