Download e-book for iPad: 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 publication bargains 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. development on a prior monograph by way of Beliakov et al. released by way of Springer in 2007, it outlines new aggregation tools constructed at the moment, with a distinct concentrate on the subject of averaging aggregation services. It examines fresh advances within the box, resembling aggregation on lattices, penalty-based aggregation and weakly monotone averaging, and extends a few of the already latest equipment, akin to: ordered weighted averaging (OWA), fuzzy integrals and blend capabilities. a considerable mathematical heritage isn't referred to as for, as the entire appropriate mathematical notions are defined the following and suggested on including a wealth of graphical illustrations of distinctive households of aggregation capabilities. The authors more often than not specialize in sensible functions and provides relevant value to the conciseness of exposition, in addition to the relevance and applicability of the suggested equipment, supplying a helpful source for machine scientists, IT experts, mathematicians, approach architects, wisdom engineers and programmers, in addition to for somebody dealing with the problem of ways to mix a number of inputs right into a unmarried output value.

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A Practical Guide to Averaging Functions (Studies in Fuzziness and Soft Computing) by Gleb Beliakov,Humberto Bustince Sola,Tomasa Calvo

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