Titlebook: A Practical Guide to Averaging Functions; Gleb Beliakov,Humberto Bustince Sola,Tomasa Calvo Book 2016 Springer International Publishing Sw

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1434-9922 cal applications.Includes all the relevant mathematical conc.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 fo

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Einleitung und Aufgabenstellung,obtained as special cases of the penalty based averages. Other classes of averages such as the deviation and entropic means are also presented. This chapter introduces new penalty based averages and relates the averages to the maximum likelihood principle.

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Wirtschaftliche Entscheidungskriterien, are treated in the framework of weak monotonicity. Cone monotonicity and monotonicity with respect to coalitions are introduced and discussed. The notion of directional monotonicity is presented and pre-aggregation functions are formalized.

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