[HTML][HTML] Simplification logic for the management of unknown information

F Pérez-Gámez, P Cordero, M Enciso, Á Mora - Information Sciences, 2023 - Elsevier
This paper aims to contribute to the extension of classical Formal Concept Analysis (FCA),
allowing the management of unknown information. In a preliminary paper, we define a new …

[HTML][HTML] Attribute implications in multi-adjoint concept lattices with hedges

ME Cornejo, J Medina, FJ Ocaña - Fuzzy Sets and Systems, 2024 - Elsevier
The computation of (if-then) rules relating the most representative variables of a given
dataset is a relevant goal in different areas of data analysis such as stock market prediction …

[HTML][HTML] Fuzzy closure systems: Motivation, definition and properties

M Ojeda-Hernández, IP Cabrera, P Cordero… - International Journal of …, 2022 - Elsevier
The aim of this paper is to extend closure systems from being crisp sets with certain fuzzy
properties to proper fuzzy sets. The presentation of the paper shows a thorough discussion …

On (fuzzy) closure systems in complete fuzzy lattices

M Ojeda-Hernández, IP Cabrera… - … on Fuzzy Systems …, 2021 - ieeexplore.ieee.org
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 …

[HTML][HTML] Fuzzy closure relations

M Ojeda-Hernández, IP Cabrera, P Cordero… - Fuzzy Sets and …, 2022 - Elsevier
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 …

Identifying non-sublattice equivalence classes induced by an attribute reduction in FCA

RG Aragón, J Medina, E Ramírez-Poussa - Mathematics, 2021 - mdpi.com
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 …

[HTML][HTML] Generalized quantifiers in formal concept analysis

ME Cornejo, JC Díaz-Moreno, J Medina - Journal of Computational and …, 2022 - Elsevier
Usually, datasets contain imprecise data (noise), which can produce unsuspected results on
the considered mappings. For instance, this can happen with the infimum and supremum …

Closure operators constructed by logical operations on bounded lattices

MN Kesicioğlu, EK Çakar - Fuzzy Sets and Systems, 2024 - Elsevier
In this paper, closure operators obtained from functions having some properties on bounded
lattices are defined. By this way, it is aimed to generalize the notions T and U-closure …

[HTML][HTML] Quasi-closed elements in fuzzy posets

M Ojeda-Hernández, IP Cabrera, P Cordero - Journal of Computational …, 2022 - Elsevier
We generalize the notion of quasi-closed element to fuzzy posets in two stages: First, in the
crisp style in which each element in a given universe either is quasi-closed or not. Second …

[PDF][PDF] IMPACT ZADEH'S THEORY TO ALGEBRAIC STRUCTURES. MULTI-ADJOINT ALGEBRAS.

M EUGENIA CORNEJO, J Medina - TWMS Journal of Pure & Applied …, 2021 - twmsj.az
IMPACT ZADEH’S THEORY TO ALGEBRAIC STRUCTURES. MULTI-ADJOINT ALGEBRAS 1.
Introduction From the introduction of fuzzy sets by L Page 1 TWMS J. Pure Appl. Math., V.12 …