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 K1 Conjuntos difusos K1 Galois, Teoría de AB We continue studying the properties of the f -index of inclusion and show that, given a fixed pair of fuzzy sets, their f -indexof inclusion can be linked to a fuzzy conjunction which is part of an adjoint pair. We also show that, when this pair is used asthe underlying structure to provide a fuzzy interpretation of the modus ponens inference rule, it provides the maximum possibletruth-value in the conclusion among all those values obtained by fuzzy modus ponens using any other possible adjoint pair. PB Elsevier YR 2023 FD 2023 LK https://hdl.handle.net/10630/26351 UL https://hdl.handle.net/10630/26351 LA eng NO N. Madrid and M. Ojeda-Aciego, The f-index of inclusion as optimal adjoint pair for fuzzy modus ponens, Fuzzy Sets and Systems, https://doi.org/10.1016/j.fss.2023.01.009 NO Partially supported by the Spanish Ministry of Science, Innovation and Universities (MCIU), State Agency of Research (AEI), Junta de Andalucía (JA), Universidad de Málaga (UMA) and European Regional Development Fund (FEDER) through the projects PGC2018-095869-B-I00 (MCIU/AEI/FEDER) and UMA2018-FEDERJA-001 (JA/UMA/FEDER).Funding for open access charge: Universidad de Málaga / CBUA DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 20 ene 2026