Behavioral analysis of aggregation functions [chapter]

Michel Grabisch, Jean-Luc Marichal, Radko Mesiar, Endre Pap
Aggregation Functions  
Editors Printed by: Universitätsdirektion, Johannes Kepler Universität, A-4040 Linz 2 Since their inception in 1979, the Linz Seminars on Fuzzy Set Theory have emphasized the development of mathematical aspects of fuzzy sets by bringing together researchers in fuzzy sets and established mathematicians whose work outside the fuzzy setting can provide directions for further research. The philosophy of the seminar has always been to keep it deliberately small and intimate so that informal critical
more » ... discussions remain central. LINZ 2009 is the 30th seminar in this series of meetings and is devoted to the theme "The Legacy of 30 Seminars -Where Do We Stand and Where Do We Go?". Different to previous years, the scope of the seminar does not restrict to a single sub-topic of fuzzy set theory. Instead, the goal is to view fuzzy set theory and the past and future contributions of the Linz seminars from additional perspectives. We want to determine the state of the art achieved within fuzzy set theory, to ask for the impacts on other fields (of mathematics and applications), and to discuss their future research directions and applications. A large number of highly interesting contributions were submitted for possible presentation at LINZ 2009. In order to maintain the traditional spirit of the Linz Seminars -no parallel sessions and enough room for discussions -we selected those twenty-nine submissions which, in our opinion, fitted best to the focus of this very special seminar. This volume contains the abstracts of this impressive selection. These regular contributions are complemented by three reviews of renowned researchers and four invited plenary talks, some of which are intended to give new ideas and impulses from outside the traditional Linz Seminar community.
doi:10.1017/cbo9781139644150.011 fatcat:3agfaonbbfahvenz6ll56kc5vm