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Classical Averaging Functions
Book chapter   Peer reviewed

Classical Averaging Functions

Gleb Beliakov, Humberto Bustince Sola and Tomasa Calvo Sanchez
A Practical Guide to Averaging Functions, pp.55-99
Studies in Fuzziness and Soft Computing, Springer Nature
01/01/2016

Abstract

Automation & Control Systems Computer Science Computer Science, Artificial Intelligence Science & Technology Technology
This chapter presents the classical means, starting with the weighted arithmetic and power means, and then continuing to the quasi-arithmetic means. The topics of generating functions, comparability and weights selection are covered. Several interesting classes of non-quasi-arithmetic means are presented, including Gini, Bonferroni, logarithmic and Bajraktarevic means. Methods of extension of symmetric bivariate means to the multivariate case are also discussed.

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