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oai:riuma.uma.es:10630/410402026-02-03T10:56:18Zcom_10630_2254col_10630_37953

Composition as a fuzzy conjunction between indexes of inclusion Madrid-Labrador, Nicolás Miguel Ojeda-Aciego, Manuel Conjuntos difusos Lógica difusa Dispopnible online 21 noviembre de 2025 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. 2025-12-10T09:25:34Z 2025-12-10T09:25:34Z 2026-03 journal article 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 https://hdl.handle.net/10630/41040 10.1016/j.fss.2025.109685 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier