A comparison of numerical integrating algorithms by trapezoidal, Lagrange, and spline approximation
Journal of Pharmacokinetics and Biopharmaceutics, 1978In the trapezoidal method, linear interpolation between data points tends to overestimate or underestimate the area, depending on the concavity of the curve. In some instances, area estimates can be obtained by linear interpolation of logarithmically transformed data.
K C, Yeh, K C, Kwan
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Approximations of Fuzzy Numbers by General Trapezoidal Fuzzy Numbers
2013Recently, many scholars investigated interval, triangular, trapezoidal, and semi-trapezoidal approximations of fuzzy numbers. These researches can be grouped into two classes: one is to study approximations of fuzzy numbers without any constraint; the other one is to study approximations preserving some attributes. In this paper, we propose two general
Chi-Tsuen Yeh, Pei-Hau Lin
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Approximating the Riemann–Stieltjes integral in terms of generalised trapezoidal rules
Nonlinear Analysis: Theory, Methods & Applications, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Trapezoidal Intuitionistic Approximations of Intuitionistic Fuzzy Numbers Preserving the Width
2019The problem is discussed about approximating a sequence of intuitionistic fuzzy numbers or aggregating the sequence of intuitionistic fuzzy numbers and then approximating the output of aggregation with condition of preserving the width. An interesting conclusion is obtained.
Shu-yang Li, Hong-xing Li
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Weighted Semi-trapezoidal Approximation of a Fuzzy Number Preserving the Weighted Ambiguity
2012We use the metric properties of the nearest extended weighted semi-trapezoidal fuzzy number and the Karush-Kuhn-Tucker theorem to compute the weighted semi-trapezoidal approximation of a fuzzy number preserving the weighted ambiguity. The proposed approach is more general than existing methods and it can be applied to other approximations of fuzzy ...
Adrian I. Ban, Lucian Coroianu
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Trapezoidal Approximation of a Complex Wing Planform for Wall Interference Calculations
24th AIAA Aerodynamic Measurement Technology and Ground Testing Conference, 2004A method is presented that determines a trapezoidal approximation of a complex wing planform for estimating wall interference corrections. The trapezoidal approximation matches the reference area, span, and mean aerodynamic chord of the original wing if the ratio between the mean aerodynamic chord and the mean geometric chord is less or equal 4/3.
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Algorithms for Trapezoidal Approximations of Fuzzy Numbers Preserving the Expected Interval
2010Fuzzy number approximation by trapezoidal fuzzy numbers which preserves the expected interval is discussed. New algorithms for calculating the proper approximations are proposed. It is shown that the adequate approximation operator is chosen with respect both to the global spread of a fuzzy number and the size of possible asymmetry between the spread ...
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An approximation for the fiber refractive index profile via trapezoid formula
2002Summary: By the use of the trapezoid formula a good approximation for the fiber refractive index profile is given.
Dragomir, Nicoleta, Baxter, Gregory W
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The trapezoidal approximation of digitized images
Computer Vision, Graphics, and Image Processing, 1983openaire +1 more source
Comments on "Exact and approximate spectra for trapezoidal FM"
Proceedings of the IEEE, 1977S.W. Foo +3 more
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