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Prospects for Applied Mathematics and Data Analysis

Volume 3 , Issue 1 , PP: 29-48, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Foundation of Appurtenance and Inclusion Equations for Constructing the Operations of Neutrosophic Numbers Needed in Neutrosophic Statistics (revised)

Florentin Smarandache 1 *

  • 1 Emeritus Professor University of New Mexico Mathematics, Physics, and Natural Science Division 705 Gurley Ave., Gallup, NM 87301, USA - (smarand@unm.edu)

    • Doi: https://doi.org/10.54216/PAMDA.030103

    Received: May 17, 2023 Revised: August 13, 2023 Accepted December 22, 2023
    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.

     

    Cite This Article As :
    Smarandache, Florentin. 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. , no. , 2023, pp. 29-48. DOI: https://doi.org/10.54216/PAMDA.030103
    Smarandache, F. (2023). 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, (), 29-48. DOI: https://doi.org/10.54216/PAMDA.030103
    Smarandache, Florentin. 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 , no. (2023): 29-48. DOI: https://doi.org/10.54216/PAMDA.030103
    Smarandache, F. (2023) . 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 , () , 29-48 . DOI: https://doi.org/10.54216/PAMDA.030103
    Smarandache F. [2023]. 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. (): 29-48. DOI: https://doi.org/10.54216/PAMDA.030103
    Smarandache, F. "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. , no. , pp. 29-48, 2023. DOI: https://doi.org/10.54216/PAMDA.030103

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