By Gleb Beliakov, Humberto Bustince Sola, Tomasa Calvo
This ebook deals an easy-to-use and practice-oriented reference advisor to mathematical averages. It provides other ways of aggregating enter values given on a numerical scale, and of selecting and/or developing aggregating features for particular purposes. construction on a prior monograph by means of Beliakov et al. released by means of Springer in 2007, it outlines new aggregation tools built in the intervening time, with a unique specialize in the subject of averaging aggregation features. It examines contemporary advances within the box, similar to aggregation on lattices, penalty-based aggregation and weakly monotone averaging, and extends a number of the already latest tools, equivalent to: ordered weighted averaging (OWA), fuzzy integrals and combination services. a considerable mathematical history isn't referred to as for, as the entire suitable mathematical notions are defined right here and said on including a wealth of graphical illustrations of detailed households of aggregation capabilities. The authors commonly specialize in functional functions and provides principal significance to the conciseness of exposition, in addition to the relevance and applicability of the stated tools, delivering a precious source for laptop scientists, IT experts, mathematicians, process architects, wisdom engineers and programmers, in addition to for someone dealing with the difficulty of the way to mix a variety of inputs right into a unmarried output value.