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Invariant continuous aggregation functions
International Journal of General Systems, 2010Continuous aggregation functions, being invariant under any monotone bijective transformation, are discussed and characterised. As a basic tool for this characterisation, self-dual -valued capacities or their counterparts, self-dual monotone Boolean functions, are exploited. A generating role of is discussed.
Andrey G. Bronevich, Radko Mesiar
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Flipping of multivariate aggregation functions
Fuzzy Sets and Systems, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fabrizio Durante +2 more
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OLAP databases and aggregation functions
Proceedings Thirteenth International Conference on Scientific and Statistical Database Management. SSDBM 2001, 2002Aggregation functions are a class of generic functions which must be usable in any database application. We characterize the case where the aggregation functions can be correctly applied on macrodata (data cube) which are computed on the microdata.
Hans-Joachim Lenz, Bernhard Thalheim
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Aggregation Rate for Compressible Functions
Proceedings of the 18th ACM International Symposium on Mobile Ad Hoc Networking and Computing, 2017One of the most fundamental tasks in sensor networks is the computation of a (compressible) aggregation function of the input measurements. What rate of computation can be maintained, by properly choosing the aggregation tree, the TDMA schedule of the tree edges, and the transmission powers? We show here that the optimal rate is effectively a constant.
Magnús M. Halldórsson, Tigran Tonoyan
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Parametric characterization of aggregation functions
Fuzzy Sets and Systems, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anna Kolesárová, Radko Mesiar
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Symmetrization Methods for Aggregation Functions
2017We introduce and discuss the concept of symmetrization methods for aggregation functions. Several symmetrization methods are exemplified. A particular stress is put on extremal symmetrization methods.
Radko Mesiar, Andrea Stupnanová
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A class of associative aggregation functions
Fuzzy Sets and SystemsIn this paper, we characterize all associative aggregation functions A such that the semigroup ([0, 1], A,
Lingli Wang +3 more
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Maximal directions of monotonicity of an aggregation function
Fuzzy Sets and Systems, 2022Bernard de Baets, H de Meyer
exaly