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The arithmetic recursive average as an instance of the recursive weighted power mean
Christian Wagner +2 more
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Hipster cafe location selection using spherical weighted arithmetic mean in topsis [PDF]
Aziz, Nurul Suhada +3 more
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Data management and standardisation:A methodological comment on using results from the UK Research Assessment Exercise 2008 [PDF]
Gayle, Vernon, Lambert, P
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Generalized weighted quasi-arithmetic means
Aequationes mathematicae, 2010Let \(I\subseteq \mathbb R\) be an interval. A function \(M:\;I^2\to \mathbb R\) is called a mean on \(I^2\), if \[ \min (x,y)\leq M(x,y)\leq \max (x,y),\quad x,y\in I. \] The author considers means of the form \[ M_{f,g}(x,y)=(f+g)^{-1}(f(x)+g(y)) \] where \(f\) and \(g\) are real functions on \(I\), and studies conditions on \(f,g\), under which ...
Janusz Matkowski
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On linear combinations of weighted quasi-arithmetic means
Aequationes mathematicae, 2005Let \(CM(I)\) denote the set of all continuous and strictly monotone real functions on the interval \(I\). A mean \(M\) on \(I\) is called a weighted quasi--arithmetic mean if there exists \(\phi \in CM(I)\) such that \[ M(x,y)=\phi^{-1}(\lambda\phi(x)+(1-\lambda)\phi(y))=:A_{\phi}(x,y;\lambda) \qquad (x,y \in I).
Daróczy, Zoltán, Hajdu, Gabriella
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Parameterized defuzzification with continuous weighted quasi-arithmetic means – An extension☆
Information Sciences, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xinwang Liu
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