Johannes Kepler Symposium für Mathematik
Im Rahmen des Johannes-Kepler-Symposiums für Mathematik wird Mag. Dr. Susanne Saminger-Platz, Department of Knowledge-Based Mathematical Systems, JKU Linz, am Wed, Nov. 19, 2008 um 17:15 Uhr im HS 13 einen öffentlichen Vortrag (mit anschließender Diskussion) zum Thema "Aggregation Functions - Constructions, Characterizations, and Functional Inequalities" halten, zu dem die Veranstalter des Symposiums,O.Univ.-Prof. Dr. Ulrich Langer,
Univ.-Prof. Dr. Gerhard Larcher
A.Univ.-Prof. Dr. Jürgen Maaß, und
die ÖMG (Österreichische Mathematische Gesellschaft)
hiermit herzlich einladen.
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.