Abstract
In Formal Concept Analysis (FCA), \mathcal L-bonds represent relationships between \mathcal L-formal contexts. Choosing the appropriate bond between \mathcal L-fuzzy formal contexts is an important challenge for its application in recommendation tasks. Recent work introduced two constructions of bonds, given by direct products of two \mathcal L-fuzzy formal contexts, and showed their usefulness in a particular application. In this paper, we present further theoretical and experimental results on these constructions; in particular, we provide extended interpretations of both rigorous and benevolent concept-forming operators, introduce new theoretical properties of the proposed bonds to connect two concept lattices given external information, and finally present the experimental study of the upper bounds.
Funding
VALID: Verifiable Algebraic and Logic tools for Imperfect Data
Citation
O. Krídlo, D. López-Rodríguez, L. Antoni, et al. “Connecting concept lattices with bonds induced by external information”. In: Information Sciences (2023), p. 119498.
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Papers citing this work
The following is a non-exhaustive list of papers that cite this work:
- Roberto G. Aragón, Jesús Medina, Samuel Molina‐Ruiz (2026). Computing Bonds Between Formal Contexts. Mathematical Methods in the Applied Sciences DOI
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- Roberto G. Aragón, Jesús Medina, Eloísa Ramírez‐Poussa (2025). Independent subcontexts and blocks of concept lattices. Definitions and relationships to decompose fuzzy contexts. Fuzzy Sets and Systems DOI
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- Didier Dubois, Jesús Medina, Henri Prade (2024). Extracting attribute implications from a formal context: Unifying the basic approaches. Information Sciences DOI
- Roberto G. Aragón, Jesús Medina, Samuel Molina-Ruiz (2024). The Notion of Bond in the Multi-adjoint Concept Lattice Framework. Lecture notes in computer science DOI