Aggregation functions: construction methods, conjunctive, disjunctive and mixed classes. (English) Zbl 1206.68299

Grabisch, Michel; Marichal, Jean-Luc; Mesiar, Radko; Pap, Endre

Inf. Sci. 181, No. 1, 23-43 (2011).

Summary: In this second part of our state-of-the-art overview of aggregation theory, based again on our recent monograph on aggregation functions, we focus on several construction methods for aggregation functions and on special classes of aggregation functions, covering the well-known conjunctive, disjunctive, and mixed aggregation functions. Some fields of applications are included.

MSC:

68T37	Reasoning under uncertainty in the context of artificial intelligence
28E10	Fuzzy measure theory
94D05	Fuzzy sets and logic (in connection with information, communication, or circuits theory)

Keywords:

aggregation function; triangular norm; copula; uninorm; construction method for aggregation functions

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