# 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 **Wed, Nov. 19, 2008**
at **16:15 o'clock** at **HS 13**
on the topic of
"Aggregation Functions - Constructions, Characterizations, and Functional Inequalities"
. 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 Inequalities

What does a voting process in a parliament have in common with citation indices, the final grading of a student, or the selection of a hotel from a tourist database? In all these applications, several pieces of information and/or arguments are combined leading to a single final result or decision. Such procedures are referred to as aggregation processes and aggregation functions are mathematical models thereof. Depending on the actual application to be modeled, the aggregation functions have to be of a particular type and have to fulfill special properties. Mathematically speaking, these demands lead to the problems of existence, construction and characterization of such functions, as well as to functional (in)equalities.

In this talk we elaborate and illustrate a few of the application scenarios mentioned above and their related theoretical demands for the corresponding aggregation model. Further we will discuss recent results on constructions, characterizations, and functional inequalities for a special class of aggregation functions.