1
Emeritus Professor University of New Mexico Mathematics, Physics, and Natural Science Division 705 Gurley Ave., Gallup, NM 87301, USA
(smarand@unm.edu)
Abstract :
We introduce for the first time the appurtenance equation and inclusion equation, which help in understanding the operations with neutrosophic numbers within the frame of neutrosophic statistics. The way of solving them resembles the equations whose coefficients are sets (not single numbers).
Keywords :
Real Neutrosophic Numbers; Neutrosophic Statistics;True Value; True Set-Value; Appurtenance Relationship; Appurtenance Equation; Inclusion Relationship; Inclusion Equation; Equality Equation with Set-Coefficients; NonAppurtenance Equation; NonInclusion Equation; NonEquality Equation; Operations with Neutrosophic Numbers
References :
[1] F. Smarandache, Neutrosophic Statistics vs. Interval Statistics, and Plithogenic Statistics as the most general form of statistics (second edition), International Journal of Neutrosophic Science (IJNS), Vol. 19, No. 01, PP. 148-165, 2022, http://fs.unm.edu/NS/NeutrosophicStatistics-vs-IntervalStatistics.pdf
[2] Muhammad Aslam, A Variable Acceptance Sampling Plan under Neutrosophic Statistical Interval Method. Symmetry 2019, 11, 114, DOI: 10.3390/sym11010114, https://fs.unm.edu/NS/AVariableAcceptanceSampling.pdf
[3] Florentin Smarandache, Foundation of Appurtenance and Inclusion Equations for Constructing the Operations of Neutrosophic Numbers Needed in Neutrosophic Statistics, Neutrosophic Systems with Applications, Vol. 15, 16-32, 2024.
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MLA | Florentin Smarandache. "Foundation of Appurtenance and Inclusion Equations for Constructing the Operations of Neutrosophic Numbers Needed in Neutrosophic Statistics (revised)." Prospects for Applied Mathematics and Data Analysis, Vol. 3, No. 1, 2023 ,PP. 29-48 (Doi : https://doi.org/10.54216/PAMDA.030103) |
APA | Florentin Smarandache. (2023). Foundation of Appurtenance and Inclusion Equations for Constructing the Operations of Neutrosophic Numbers Needed in Neutrosophic Statistics (revised). Journal of Prospects for Applied Mathematics and Data Analysis, 3 ( 1 ), 29-48 (Doi : https://doi.org/10.54216/PAMDA.030103) |
Chicago | Florentin Smarandache. "Foundation of Appurtenance and Inclusion Equations for Constructing the Operations of Neutrosophic Numbers Needed in Neutrosophic Statistics (revised)." Journal of Prospects for Applied Mathematics and Data Analysis, 3 no. 1 (2023): 29-48 (Doi : https://doi.org/10.54216/PAMDA.030103) |
Harvard | Florentin Smarandache. (2023). Foundation of Appurtenance and Inclusion Equations for Constructing the Operations of Neutrosophic Numbers Needed in Neutrosophic Statistics (revised). Journal of Prospects for Applied Mathematics and Data Analysis, 3 ( 1 ), 29-48 (Doi : https://doi.org/10.54216/PAMDA.030103) |
Vancouver | Florentin Smarandache. Foundation of Appurtenance and Inclusion Equations for Constructing the Operations of Neutrosophic Numbers Needed in Neutrosophic Statistics (revised). Journal of Prospects for Applied Mathematics and Data Analysis, (2023); 3 ( 1 ): 29-48 (Doi : https://doi.org/10.54216/PAMDA.030103) |
IEEE | Florentin Smarandache, Foundation of Appurtenance and Inclusion Equations for Constructing the Operations of Neutrosophic Numbers Needed in Neutrosophic Statistics (revised), Journal of Prospects for Applied Mathematics and Data Analysis, Vol. 3 , No. 1 , (2023) : 29-48 (Doi : https://doi.org/10.54216/PAMDA.030103) |