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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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Approximation of intuitionistic fuzzy numbers by trapezoidal intuitionistic fuzzy numbers
Journal of Intelligent & Fuzzy Systems, 2017The notation of extended intuitionistic fuzzy number is introduced and the representation of the weighted extended trapezoidal intuitionistic approximation of an intuitionistic fuzzy number is given in this paper. The problem related to aggregation is addressed about approximating the given intuitionistic fuzzy numbers or aggregating the given ...
Shuyang Li +2 more
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Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval
Fuzzy Sets and Systems, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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NEAREST SYMMETRIC TRAPEZOIDAL FUZZY NUMBER APPROXIMATION PRESERVING EXPECTED INTERVAL
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2013Fuzzy number approximation has been investigated by many researchers. It is still useful to develop new approximations in order to better fit real world problems. This paper proposes a method for symmetric trapezoidal fuzzy number approximation which preserves the expected interval.
Chinnadurai Veeramani +2 more
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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 Approximation of Fuzzy Numbers Based on Sample Data
2010The idea of the membership functions construction form a data sample is suggested. The proposed method is based on the trapezoidal approximation of fuzzy numbers.
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Fuzzy Sets and Systems, 2008
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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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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 C. Coroianu
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