Algebra Seminar talk
2024-11-08 13:30! Zeichensaal 1! (8. Stock)
Radomir Halas
On generating sets of aggregation clones
Abstract:
Aggregation functions play a crucial role in aggregation theory. Given a bounded poset $(P,\le,0,1)$, the corresponding aggregation clone is just the polymorphism class $\textrm{Pol}\{\le,0,1\}$, a subclone of the monotone clone $\textrm{Pol}\{\le\}$. If $P$ is a lattice, this clone is known to be finitely generated. The aim of the talk is to present several generating sets of this clone and to discuss their minimality. Also generators of its subclone of idempotent aggregation functions will be briefly presented.