# Johannes Kepler Symposium on Mathematics

As part of the Johannes Kepler symposium on mathematics
**Mag. Dr. Susanne
Saminger-Platz**, Department of Knowledge-Based Mathematical Systems, JKU Linz,
will give a public talk (followed by a discussion) on **Fri, July 3, 2009**
at **13:00 o'clock** at **K 269D**
on the topic of
"Aggregation Functions Constructions, Characterizations, and Functional Equations"
. The organziers of the symposium,

Univ.-Prof. Dr. Gerhard Larcher

A.Univ.-Prof. Dr. Jürgen Maaß, and

die ÖMG (Österreichische Mathematische Gesellschaft),

hereby cordially invite you.

Series B - Mathematical Colloquium:

The intention is to present new mathematical results for an audience interested in general mathematics.

### Aggregation Functions Constructions, Characterizations, and Functional Equations

Aggregation is an important tool in any discipline where the fusion of different pieces of information is of interest and as such relates to several fields of applied and pure mathematics. Since aggregation functions map arbitrary but finitely many arguments to a single representative value they serve as mathematical models for a certain class of aggregation problems. Classical means, triangular norms, or copulas are examples of aggregation functions.

The focus of the habilitation has been set on problems of constructions and characterizations of aggregation functions with an emphasis on particular types of functional equations and inequalities. For the talk we aim at a brief introduction of such functions and of a few recent aspects of their study; we then discuss dominating and commuting aggregation functions and highlight how we have contributed to the solution of some open problems.