[HTML][HTML] Fuzzy closure structures as formal concepts
Galois connections seem to be ubiquitous in mathematics. They have been used to model
solutions for both pure and application-oriented problems. Throughout the paper, the …
solutions for both pure and application-oriented problems. Throughout the paper, the …
On (fuzzy) closure systems in complete fuzzy lattices
Two alternative definitions of closure system in complete fuzzy lattices are introduced, first as
a crisp set and then as a fuzzy one. It is valuated in a complete Heyting algebra and follows …
a crisp set and then as a fuzzy one. It is valuated in a complete Heyting algebra and follows …
[HTML][HTML] Fuzzy closure relations
The concept of closure operator is key in several branches of mathematics. In this paper,
closure operators are extended to relational structures, more specifically to fuzzy relations in …
closure operators are extended to relational structures, more specifically to fuzzy relations in …
Identifying non-sublattice equivalence classes induced by an attribute reduction in FCA
The detection of redundant or irrelevant variables (attributes) in datasets becomes essential
in different frameworks, such as in Formal Concept Analysis (FCA). However, removing such …
in different frameworks, such as in Formal Concept Analysis (FCA). However, removing such …
[HTML][HTML] Fuzzy relational Galois connections between fuzzy transitive digraphs
We present a fuzzy version of the notion of relational Galois connection between fuzzy
transitive directed graphs (fuzzy T-digraphs) on the specific setting in which the underlying …
transitive directed graphs (fuzzy T-digraphs) on the specific setting in which the underlying …
[HTML][HTML] The f-index of inclusion as optimal adjoint pair for fuzzy modus ponens
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 …
pair of fuzzy sets, their f-index of inclusion can be linked to a fuzzy conjunction which is part …
On the Definition of Fuzzy Relational Galois Connections Between Fuzzy Transitive Digraphs
We continue the study of different generalizations of the notion of Galois connection.
Previously, we had focused on the cases in which both the domain and codomain had the …
Previously, we had focused on the cases in which both the domain and codomain had the …
The f-index of inclusion as optimal adjoint pair for fuzzy modus ponens
NM Madrid-Labrador, M Ojeda-Aciego - 2023 - riuma.uma.es
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 …
pair of fuzzy sets, their f-index of inclusion can be linked to a fuzzy conjunction which is part …
Fuzzy relational Galois connections between fuzzy transitive digraphs
I De-las-Peñas-Cabrera, P Cordero-Ortega… - 2022 - riuma.uma.es
We present a fuzzy version of the notion of relational Galois connection between fuzzy
transitive directed graphs (fuzzy T-digraphs) on the specific setting in which the underlying …
transitive directed graphs (fuzzy T-digraphs) on the specific setting in which the underlying …
Characterization of the Infimum of Classes Induced by an Attribute Reduction in FCA
Attribute reduction is a topic of interest in data analysis. In particular, in formal concept
analysis attribute reductions are associated with equivalence relations defined on concept …
analysis attribute reductions are associated with equivalence relations defined on concept …