International audienceIn this short note we consider a class of median algebras, called (1, 2 : 3)-semilattices, that is pertaining to cluster analysis. Such median algebras arise from a natural generalization of conservativeness, and their description is given in terms of forbidden substructures
A specialization semilattice is a structure which can be embedded into $(\mathcal P(X), \cup, \sqsub...
Given a metric space (X, d) and a k-tuple (profile) P = (x1, x2,...,xk ) of elements of P X, a media...
AbstractBruno Leclerc proved that a finite lattice is upper semimodular if and only if, for any prof...
AbstractA median algebra is a ternary algebra which satisfies all the identities true for the median...
We characterize trees as median algebras and semilattices by relaxing conservativeness. Moreover, we...
International audienceHomorphisms of products of median algebras are studied with particular attenti...
International audienceA median algebra is a ternary algebra that satisfies every equation satisfied ...
peer reviewedWe characterize conservative median algebras and semilattices by means of forbidden su...
International audienceIn this paper we characterize classes of median-homomorphisms between products...
A median algebra is a ternary algebra that satisfies every equation satisfied by the median terms of...
We present an Arrow-like theorem for aggregation functions over convervative median algebras. In do...
International audienceIn this paper, we study structures such as distributive lattices, distributive...
Abstract. Weestablishcategoricaldualitiesbetweenvarietiesofisotropicmedianalgebras and suitable cate...
AbstractA median of a k-tuple π=(x1,…,xk) of elements of a finite metric space (X,d) is an element x...
summary:We establish categorical dualities between varieties of isotropic median algebras and suitab...
A specialization semilattice is a structure which can be embedded into $(\mathcal P(X), \cup, \sqsub...
Given a metric space (X, d) and a k-tuple (profile) P = (x1, x2,...,xk ) of elements of P X, a media...
AbstractBruno Leclerc proved that a finite lattice is upper semimodular if and only if, for any prof...
AbstractA median algebra is a ternary algebra which satisfies all the identities true for the median...
We characterize trees as median algebras and semilattices by relaxing conservativeness. Moreover, we...
International audienceHomorphisms of products of median algebras are studied with particular attenti...
International audienceA median algebra is a ternary algebra that satisfies every equation satisfied ...
peer reviewedWe characterize conservative median algebras and semilattices by means of forbidden su...
International audienceIn this paper we characterize classes of median-homomorphisms between products...
A median algebra is a ternary algebra that satisfies every equation satisfied by the median terms of...
We present an Arrow-like theorem for aggregation functions over convervative median algebras. In do...
International audienceIn this paper, we study structures such as distributive lattices, distributive...
Abstract. Weestablishcategoricaldualitiesbetweenvarietiesofisotropicmedianalgebras and suitable cate...
AbstractA median of a k-tuple π=(x1,…,xk) of elements of a finite metric space (X,d) is an element x...
summary:We establish categorical dualities between varieties of isotropic median algebras and suitab...
A specialization semilattice is a structure which can be embedded into $(\mathcal P(X), \cup, \sqsub...
Given a metric space (X, d) and a k-tuple (profile) P = (x1, x2,...,xk ) of elements of P X, a media...
AbstractBruno Leclerc proved that a finite lattice is upper semimodular if and only if, for any prof...
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