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

By Gleb Beliakov,Humberto Bustince Sola,Tomasa Calvo

This e-book bargains an easy-to-use and practice-oriented reference consultant 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 through Beliakov et al. released by means of Springer in 2007, it outlines new aggregation tools built in the intervening time, with a distinct specialize in the subject of averaging aggregation features. It examines fresh advances within the box, corresponding to aggregation on lattices, penalty-based aggregation and weakly monotone averaging, and extends a few of the already present tools, equivalent to: ordered weighted averaging (OWA), fuzzy integrals and mix capabilities. a considerable mathematical historical past isn't referred to as for, as the entire correct mathematical notions are defined the following and pronounced on including a wealth of graphical illustrations of designated households of aggregation features. The authors regularly concentrate on functional functions and provides principal value to the conciseness of exposition, in addition to the relevance and applicability of the suggested equipment, providing a important source for laptop scientists, IT experts, mathematicians, approach architects, wisdom engineers and programmers, in addition to for someone dealing with the difficulty of ways to mix quite a few inputs right into a unmarried output value.

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