35 citations · 139 across the 11 of their papers we have counts for
12 papers
The logic induced by effect algebras
Ivan Chajda, Radomír Halaš, Helmut Länger
Effect algebras form an algebraic formalization of the logic of quantum mechanics. For lattice effect algebras E we investigate a natural implication and prove that the implication…
On the clone of aggregation functions on bounded lattices
Radomír Halaš, Jozef Pócs
The main aim of this paper is to study aggregation functions on lattices via clone theory approach. Observing that the aggregation functions on lattices just correspond to -mo…
On generating of idempotent aggregation functions on finite lattices
Michal Botur, Radomír Halaš, Radko Mesiar +1
In a recent paper we proposed the study of aggregation functions on lattices via clone theory approach. Observing that aggregation functions on lattices just correspond to -mo…
Congruences and the discrete Sugeno integrals on bounded distributive lattices
Radomír Halaš, Radko Mesiar, Jozef Pócs
We study compatible aggregation functions on a general bounded distributive lattice , where the compatibility is related to the congruences on . As a by-product, a new proof…
A new characterization of the discrete Sugeno integral
Radomír Halaš, Radko Mesiar, Jozef Pócs
We introduce a new property of the discrete Sugeno integrals which can be seen as their characterization, too. This property, compatibility with respect to congruences on ,…
Description of sup- and inf-preserving aggregation functions via families of clusters in data tables
Radomír Halaš, Radko Mesiar, Jozef Pócs
Connection between the theory of aggregation functions and formal concept analysis is discussed and studied, thus filling a gap in the literature by building a bridge between these…