@misc{10498/38482,
year = {2023},
month = {8},
url = {http://hdl.handle.net/10498/38482},
abstract = {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.},
publisher = {Elsevier},
keywords = {Fuzzy logic},
keywords = {f-index of inclusion},
keywords = {Fuzzy inclusion},
keywords = {Inclusion measures},
keywords = {Residuated lattice},
keywords = {Galois connection},
title = {The f-index of inclusion as optimal adjoint pair for fuzzy modus ponens},
doi = {10.1016/j.fss.2023.01.009},
author = {Madrid Labrador, Nicolás Miguel and Ojeda Aciego, Manuel},
}