46 citations · 141 across the 18 of their papers we have counts for
6 papers · 1 filter
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…
Generators of aggregation functions and fuzzy connectives
Radomír Halaš, Radko Mesiar, Jozef Pócs
We show that the class of all aggregation functions on can be generated as a composition of infinitary sup-operation acting on sets with cardinality not exceeding…
Generalized comonotonicity and new axiomatizations of Sugeno integrals on bounded distributive lattices
Radomír Halaš, Radko Mesiar, Jozef Pócs
Two new generalizations of the relation of comonotonicity of lattice-valued vectors are introduced and discussed. These new relations coincide on distributive lattices and they sha…