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Fuzzy Sets and Systems, 1999
The fuzzy average and the fuzzy arithmetic mean are represented in this paper. It has been proved that with a theorem the fuzzy arithmetic mean converges to the normal arithmetic mean. It is shown how to use the fuzzy average, which is compared with fuzzy control rules with an example.
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The fuzzy average and the fuzzy arithmetic mean are represented in this paper. It has been proved that with a theorem the fuzzy arithmetic mean converges to the normal arithmetic mean. It is shown how to use the fuzzy average, which is compared with fuzzy control rules with an example.
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Encyclopedic Dictionary of Archaeology, 1978
In the statistician’s world arithmetic is rarely simple and a desk or pocket calculator is often needed. But many problems are easier than one thinks and this chapter will show the way.
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In the statistician’s world arithmetic is rarely simple and a desk or pocket calculator is often needed. But many problems are easier than one thinks and this chapter will show the way.
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Matrix inequalities for the difference between arithmetic mean and harmonic mean
Annals of Functional Analysis, 2015Motivated by the refinements and reverses of arithmetic-geometric mean and arithmetic-harmonic mean inequalities for scalars and matrices, in this article, we generalize the scalar and matrix inequalities for the difference between arithmetic mean and ...
Wenshi Liao, Junliang Wu
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Optimal bounds of exponential type for arithmetic mean by Seiffert-like mean and centroidal mean
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021Ling Zhu
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The arithmetic mean - Geometric mean - Harmonic mean: Inequalities and a spectrum of applications
Resonance, 2016Prithwijit De
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A Characterization of Weighted Arithmetic Means
SIAM Journal on Algebraic Discrete Methods, 1980We prove, among other things, that the set of weighted arithmetic means is identical with the set of functions $f:R^n \to R$ satisfying (i) $\min \{ x_j \}\leqq f ( x_1 ,x_2 , \cdots ,x_n )\leqq \max \{ x_j \}$ and (ii) for $k = 2,3:\sum _{i = 1}^k x_{ij} = s( j = 1,2, \cdots ,n ) \Rightarrow \sum _{i = 1}^k f( x_{i1} ,x_{i2} , \cdots ,x_{in} ) = s$.
J. Aczél, C. Wagner
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Intuitionistic Fuzzy Hybrid Weighted Arithmetic Mean and Its Application in Decision Making
Int. J. Uncertain. Fuzziness Knowl. Based Syst., 2019Atanassov’s intuitionistic fuzzy sets (AIFSs), characterized by a membership function, a non-membership function, and a hesitancy function, is a generalization of a fuzzy set.
Weize Wang, J. Mendel
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Visualizing the Arithmetic Mean
Mathematics Teacher: Learning and Teaching PK-12, 2021The two provided activities are geared for students in middle school to facilitate and deepen their understanding of the arithmetic mean. Through these activities, students analyze visual representations and use a special type of statistical thinking called transnumerative thinking.
Michael Daiga, Shannon Driskell
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