RT Journal Article
T1 Composition as a fuzzy conjunction between indexes of inclusion
A1 Madrid-Labrador, Nicolás Miguel
A1 Ojeda-Aciego, Manuel
K1 Conjuntos difusos
K1 Lógica difusa
AB We analyze the use of the composition of mappings as a fuzzy conjunction between indexes of inclusion. Instead of the general approach of the φ-index of inclusion, we consider a fresh approach that computes the φ-index of inclusion when restricted to a join-subsemilattice of indexes of inclusion. Under this restriction, we identify a certain join-subsemilattice which has a biresiduated structure when composition is interpreted as conjunction. The main consequence of this biresiduated structure is a representation theorem of biresiduated lattices on the unit interval in terms of the composition and subsets of indexes of inclusion.
PB Elsevier
YR 2026
FD 2026-03
LK https://hdl.handle.net/10630/41040
UL https://hdl.handle.net/10630/41040
LA eng
NO Madrid, N., & Ojeda-Aciego, M. (2026). Composition as a fuzzy conjunction between indexes of inclusion. Fuzzy Sets and Systems, 527, 109685. https://doi.org/10.1016/j.fss.2025.109685
NO Dispopnible online 21 noviembre de 2025
NO Funding for open access charge: Universidad de Málaga / CBUA.
NO Partially supported by the projects funded by MICIU/AEI and FEDER, UE; by the grant funded by MCIN/AEI and European Union NextGenerationEU/PRTR; and by the project FEDER funded by Junta de Andalucía and FEDER, UE.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 25 ene 2026