A Practical Guide to Averaging Functions (Studies in by Gleb Beliakov,Humberto Bustince Sola,Tomasa Calvo

By Gleb Beliakov,Humberto Bustince Sola,Tomasa Calvo

This ebook deals an easy-to-use and practice-oriented reference advisor to mathematical averages. It offers alternative ways of aggregating enter values given on a numerical scale, and of selecting and/or developing aggregating capabilities for particular purposes. construction on a prior monograph by means of Beliakov et al. released through Springer in 2007, it outlines new aggregation equipment built for the time being, with a unique specialize in the subject of averaging aggregation capabilities. It examines fresh advances within the box, similar to aggregation on lattices, penalty-based aggregation and weakly monotone averaging, and extends some of the already current equipment, resembling: ordered weighted averaging (OWA), fuzzy integrals and combination capabilities. a considerable mathematical heritage isn't referred to as for, as the entire suitable mathematical notions are defined the following and stated on including a wealth of graphical illustrations of precise households of aggregation services. The authors customarily specialize in sensible functions and provides vital significance to the conciseness of exposition, in addition to the relevance and applicability of the stated tools, delivering a helpful source for laptop scientists, IT experts, mathematicians, approach architects, wisdom engineers and programmers, in addition to for a person dealing with the problem of the way to mix a number of inputs right into a unmarried output value.

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