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A Practical Guide to Averaging Functions (Studies in Fuzziness and Soft Computing)

Amazon.com Price:  $140.00 (as of 26/04/2019 18:16 PST- Details)

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Description

This book offers a very easy-to-use and practice-oriented reference guide to mathematical averages. It presents different ways of aggregating input values given on a numerical scale, and of choosing and/or constructing aggregating functions for specific applications. Building on a previous monograph by Beliakov et al. published by Springer in 2007, it outlines new aggregation methods developed in the intervening time, with a special focus on the topic of averaging aggregation functions. It examines contemporary advances in the field, such as aggregation on lattices, penalty-based aggregation and weakly monotone averaging, and extends among the already existing methods, such as: ordered weighted averaging (OWA), fuzzy integrals and mixture functions. A substantial mathematical background isn’t known as for, as all of the relevant mathematical notions are explained here and reported on along with a wealth of graphical illustrations of distinct families of aggregation functions. The authors mainly focus on practical applications and give central importance to the conciseness of exposition, in addition to the relevance and applicability of the reported methods, offering a valuable resource for computer scientists, IT specialists, mathematicians, system architects, knowledge engineers and programmers, in addition to for anyone facing the issue of how to combine quite a lot of inputs into a single output value.

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