RT Journal Article
T1 On monotony of fuzzy closure
A1 Belohlavek, Radim
A1 Ojeda-Hernández, Manuel
K1 Lógica difusa
AB Closure operators and systems play a significant role in a variety of areas of fuzzy logic. While the condition of monotony for ordinary closure operators has a straightforward form, two basic conditions of monotony naturally arise from the existing examples in a fuzzy setting. To unify these two conditions, two approaches can be found in the literature, one based on the notion of a filter of truth degrees and the other on the notion of a linguistic hedge. We present results connecting these approaches, explore their variants, and provide a notion of monotony that subsumes both the filter-based and hedge-based approaches. We study properties of this general concept of monotony and discuss open problems along with topics for future research.
PB Elsevier
YR 2026
FD 2026-06-01
LK https://hdl.handle.net/10630/46154
UL https://hdl.handle.net/10630/46154
LA eng
NO Radim Belohlavek, Manuel Ojeda-Hernández, On monotony of fuzzy closure, Fuzzy Sets and Systems, Volume 534, 2026, 109849, ISSN 0165-0114, https://doi.org/10.1016/j.fss.2026.109849. (https://www.sciencedirect.com/science/article/pii/S0165011426000886)
NO Funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 15 abr 2026