Properties of Prealgebraic Lattices Investigated by Means of Formal Concept Analysis
Quasi-orders of algebras
Règle majoritaire et distributivité dans le permutoèdre
Rotations of -lattices
In [2], J. Klimes studied rotations of lattices. The aim of the paper is to research rotations of the so-called -lattices introduced in [3] by V. Snasel.
Structure of the set of compatible proximities when the set is finite
Structure spaces of lattices
Sur une nouvelle génération de la notion de treillis. Les supertreillis et certaines de leurs propriétés générales
The embedding of the formal concept analysis into the L-Fuzzy concept theory.
In this work, we study the relation between the concept lattice of Wille ([5], [6]) and the L-Fuzzy concept lattice ([2]) developed by us. To do it, we have defined an application g that associates to each concept of Wille an L-Fuzzy concept. The main point of this work is to prove that if we are working with a crisp relation between an object set and an attribute set, the concept lattice of Wille is a sublattice of the L-Fuzzy concept lattice. At the end, we show a typical example in the formal...
The existence of upper semicomplements in lattices of primitive classes
The integer sequence A002620 and upper antagonistic functions.
The lattice of indiscernibility equivalences
The orientability of the direct product of graphs
The study of the L-fuzzy concept lattice.
The L-Fuzzy concept theory that we have developed sets up classifications from the objects and attributes of a context through L-Fuzzy relations. This theory generalizes the formal concept theory of R. Wille. In this paper we begin with the L-Fuzzy concept definition that generalizes the definitions of the formal concept theory, and we study the lattice structure of the L-Fuzzy concept set, giving a constructive method for calculating this lattice. At the end, we apply this constructive method to...
Tolerances and convexity
Tolerances, interval orders, and semiorders
Translations of distributive and modular ordered sets
Über den Untergruppenverband der symmetrischen Gruppe, den Unterhalbgruppenver-band der symmetrischen Halbgruppe und den Unter-algebrenverband der Postchen Algebra.
Über Polynome und Polynomfunktionen auf Verbänden.
Une nouvelle approche basée sur le treillis de Galois, pour l'apprentissage de concepts
L'apprentissage automatique à partir d'exemples consiste généralement à caractériser un ensemble d'objets dénotant un concept. Nous avons développé deux méthodes d'apprentissage symbolique, LEGAL et LEGAL-E, qui s'appuient sur le même modèle d'apprentissage, et utilisent une technique de généralisation descendante, basée sur la logique des propositions et sur la structure de treillis de Galois, pour produire un ensemble de descriptions structurées et ordonnées. Elles diffèrent dans leur approche...
Upper semicomplements and a definable element in the lattice of groupoid varieties