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A dual-matrix analytical framework integrating bio-inspired machine learning and Sobol-optimized UV spectrophotometry for five-analyte quantification: comprehensive sustainability assessment. [PDF]
BMC ChemKelani KM +4 more
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Examining the infographic design instructional process in terms of prospective mathematics teachers' infographic design proficiency, self‑efficacy, and abilities in evaluating student errors: A model proposal. [PDF]
PLoS OneUsta N, Özkaya A, Karamık GA, Akın Y.
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1988
The power means n [r] (a;w), reR, defined in the previous chapter can be looked at in the following way; for each reR define a function φ as follows: Φ(x) = xr, r ≠ 0, Φ(x) = log x, r = 0, then $$M_n^{[r]}(\underline a ;\underline w ) = {\phi ^{ - 1}}\quad (\frac{1}{{{w_n}}}\sum\limits_{i = 1}^n {{w_i}\;\phi ({a_i})} ).$$ (1) This suggests ...
P. S. Bullen +2 more
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The power means n [r] (a;w), reR, defined in the previous chapter can be looked at in the following way; for each reR define a function φ as follows: Φ(x) = xr, r ≠ 0, Φ(x) = log x, r = 0, then $$M_n^{[r]}(\underline a ;\underline w ) = {\phi ^{ - 1}}\quad (\frac{1}{{{w_n}}}\sum\limits_{i = 1}^n {{w_i}\;\phi ({a_i})} ).$$ (1) This suggests ...
P. S. Bullen +2 more
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On Means That are Both Quasi-Arithmetic and Conjugate Arithmetic
Acta Mathematica Hungarica, 2001The authors determine all means of two variables that are simultaneously of the form \[ \psi^{-1}\biggl({\psi(x)+\psi(y)\over 2}\biggr)\quad\text{and}\quad \varphi^{-1}(\varphi(x)+\varphi(y)-\varphi\Bigl({x+y\over 2}\Bigl)). \] The functions \(\psi\) and \(\varphi\) are strictly monotonic, continuous, defined on an open real interval, and one of them ...
Daróczy, Z., Páles, Zs.
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Limit properties of quasi-arithmetic means
Fuzzy Sets and Systems, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Orness Measure for Quasi-Arithmetic Means
IEEE Transactions on Fuzzy Systems, 2006In this paper, an orness measure to reflect the or-like degree of the quasi-arithmetic mean operator is proposed. With the generating function representation method, some properties of a quasi-arithmetic mean, associated with its orness measure, are analyzed.
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On the equality of generalized quasi-arithmetic means
Publicationes Mathematicae Debrecen, 2008The classical equality problem is discussed in the class of means \(M_{\varphi, \mu}:I^{2}\to \mathbb{R}\) defined by \[ M_{\varphi, \mu}(x,y)=\varphi^{-1}\left(\int_{0}^{1}\varphi(tx+(1-t)y)d\mu(t)\right) \qquad (x,y \in I) \] where \(I\) is a nonempty open real interval, \(\varphi:I\to \mathbb{R}\) is a given continuous and strictly monotone function
Makó, Zita, Páles, Zsolt
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2003
The power means are defined using the convex, or concave, power, logarithmic and exponential functions. In this chapter means are defined using arbitrary convex and concave functions by a natural extension of the classical definitions and analogues of the basic results of the earlier chapters are investigated.
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The power means are defined using the convex, or concave, power, logarithmic and exponential functions. In this chapter means are defined using arbitrary convex and concave functions by a natural extension of the classical definitions and analogues of the basic results of the earlier chapters are investigated.
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On the Max-quasi-Arithmetic Mean Powers of a Fuzzy Matrix
2009 International Joint Conference on Computational Sciences and Optimization, 2009Since Thomason's paper in 1977 showing that the max-min powers of a fuzzy matrix either converge or oscillate with a finite period, many different algebraic operations are employed to explore the limiting behavior of powers of a fuzzy matrix, such as max-min/max-product/max-Archimedean t-norm/max-t-norm/max-arithmetic mean operations.
Yung-Yih Lur +3 more
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The Matkowski–Sutő problem for weighted quasi-arithmetic means
Acta Mathematica Hungarica, 2003Let \(I\subset\mathbb{R}\) be a non-void open interval and let \(\mathcal{CM}(I)\) denote the class of all continuous and strictly monotone real-valued functions defined on the interval \(I\). A function \(M:I\times I \to I\) is called a weighted quasi-arithmetic mean on \(I\) if there exist a number ...
Daróczy, Z., Páles, Zs.
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