the date of receipt and acceptance should be inserted later Abstract Formal concept analysis associates a lattice of formal concepts to a bi-nary relation. The structure of the relation can then be described in terms of lattice theory. On the other hand Q-analysis associates a simplicial complex to a binary relation and studies its properties using topological methods. This paper investigates which mathematical invariants studied in one approach can be cap-tured in the other. Our main result is that all homotopy invariant properties of the simplicial complex can be recovered from the structure of the concept lattice. This not only clarifies the relationships between two frameworks widely used in symbolic data analysis but also offers an eff...
Abstract. Relation on a set is a simple mathematical model to which many real-life data can be conne...
International audienceThis paper presents the construction and the comparison of Galois lattices of ...
National audienceIn this article the homology of simploidal sets is studied. Simploidal sets general...
International audienceFormal concept analysis associates a lattice of formal concepts to a binary re...
International audienceIn the context of mathematical and computational representations of musical st...
AbstractWith each bounded lattice L is associated a simplicial complex KL. If X is a cross-cut of L,...
Formal concept analysis has grown from a new branch of the mathematical field of lattice theory to a...
In the present article we describe and discuss a framework for applying different topological data a...
Formal concept analysis has grown from a new branch of the mathematical field of lattice theory to a...
International audienceThe notion of space is often summoned in music theory, both for the compositio...
Archived PDF is a preprint.International audienceThis paper defines homometry in the rather general ...
International audienceWe propose a spatial approach to musical analysis based on the notion of a cho...
Abstract. Formal concept analysis has grown from a new branch of the mathematical field of lattice t...
Abstract. Formal Concept Analysis has been originally developed as a subfield of Applied Mathematics...
Q -analysis involves modelling a relation λ between two sets, A and B , by a pair of 'conjugate' sim...
Abstract. Relation on a set is a simple mathematical model to which many real-life data can be conne...
International audienceThis paper presents the construction and the comparison of Galois lattices of ...
National audienceIn this article the homology of simploidal sets is studied. Simploidal sets general...
International audienceFormal concept analysis associates a lattice of formal concepts to a binary re...
International audienceIn the context of mathematical and computational representations of musical st...
AbstractWith each bounded lattice L is associated a simplicial complex KL. If X is a cross-cut of L,...
Formal concept analysis has grown from a new branch of the mathematical field of lattice theory to a...
In the present article we describe and discuss a framework for applying different topological data a...
Formal concept analysis has grown from a new branch of the mathematical field of lattice theory to a...
International audienceThe notion of space is often summoned in music theory, both for the compositio...
Archived PDF is a preprint.International audienceThis paper defines homometry in the rather general ...
International audienceWe propose a spatial approach to musical analysis based on the notion of a cho...
Abstract. Formal concept analysis has grown from a new branch of the mathematical field of lattice t...
Abstract. Formal Concept Analysis has been originally developed as a subfield of Applied Mathematics...
Q -analysis involves modelling a relation λ between two sets, A and B , by a pair of 'conjugate' sim...
Abstract. Relation on a set is a simple mathematical model to which many real-life data can be conne...
International audienceThis paper presents the construction and the comparison of Galois lattices of ...
National audienceIn this article the homology of simploidal sets is studied. Simploidal sets general...