A Practical Guide to Averaging Functions by Gleb BeliakovA Practical Guide to Averaging Functions by Gleb Beliakov

A Practical Guide to Averaging Functions

byGleb Beliakov, Humberto Bustince Sola, Tomasa Calvo

Hardcover | October 23, 2015

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This book offers an 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 interim, with a special focus on the topic of averaging aggregation functions. It examines recent advances in the field, such as aggregation on lattices, penalty-based aggregation and weakly monotone averaging, and extends many of the already existing methods, such as: ordered weighted averaging (OWA), fuzzy integrals and mixture functions. A substantial mathematical background is not called for, as all the relevant mathematical notions are explained here and reported on together 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, as well as the relevance and applicability of the reported methods, offering a valuable resource for computer scientists, IT specialists, mathematicians, system architects, knowledge engineers and programmers, as well as for anyone facing the issue of how to combine various inputs into a single output value.

Title:A Practical Guide to Averaging FunctionsFormat:HardcoverDimensions:352 pagesPublished:October 23, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319247514

ISBN - 13:9783319247519

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Table of Contents

Notations and Abbreviations.- Classical Averaging Functions.- Ordered Weighted Averaging.- Fuzzy Integrals.- Penalty Based Averages.- More Types of Averaging and Construction Methods.- Non-monotone Averages.- Averages on Lattices.