A review of aggregation functions. (English) Zbl 1147.68081

Mesiar, Radko; Kolesárová, Anna; Calvo, Tomasa; Komorníkova, Magda

Bustince, Humberto (ed.) et al., Fuzzy sets and their extensions: representation, aggregation and models. Intelligent systems from decision making to data mining, web intelligence and computer vision. Berlin: Springer (ISBN 978-3-540-73722-3/hbk). Studies in Fuzziness and Soft Computing 220, 121-144 (2008).

Summary: Several local and global properties of (extended) aggregation functions are discussed and their relationships are examined. Some special classes of averaging, conjunctive and disjunctive aggregation functions are reviewed. A special attention is paid to the weighted aggregation functions, including some construction methods.
For the entire collection see [Zbl 1130.68004].

MSC:

68T37

Reasoning under uncertainty in the context of artificial intelligence

Keywords:

construction methods