A Practical Guide to Averaging Functions

丛 书 名：Studies in Fuzziness and Soft Computing

版本说明：1st ed. 2016

作     者：Gleb Beliakov Humberto Bustince Sola Tomasa Calvo 

I S B N：(纸本) 9783319247519 

出 版 社：Springer International Publishing 

出 版 年：2016年

页      数：352页

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

摘      要：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.