International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 21 , Issue 4 , PP: 65-71, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Neutrosophic Lindley distribution with application for Alloying Metal Melting Point

Mazin M. Alanaz 1 * , Marwah Yahya Mustafa 2 , Zakariya Yahya Algamal 3

  • 1 Department of Operation Research and Intelligence Techniques, University of Mosul, Iraq - (mazinalanaz@uomosul.edu.iq)
  • 2 Department of Statistics and Informatics, University of Mosul, Mosul, Iraq - (marwa.yahya@uomosul.edu.iq)
  • 3 Department of Statistics and Informatics, University of Mosul, Mosul, Iraq - (zakariya.algamal@uomosul.edu.iq)
  • Doi: https://doi.org/10.54216/IJNS.210407

    Received: February 13, 2023 Revised: May 17, 2023 Accepted: July 16, 2023
    Abstract

    In the field of survival analysis, the Lindley distribution is used to mimic methods used with human lifespan data. A variety of survival statistics with indeterminacies are intended to be characterized by the neutrosophic Lindley distribution (NLD). In example, modeling unknown data that is roughly positively skewed makes use of the established distribution. The neutrosophic survival function, neutrosophic hazard rate, and neutrosophic moments are three of the developed NLD's major statistical features that are discussed in this article. Additionally, the well-known maximum likelihood estimation method is used to estimate the neutrosophic parameters. A simulation study is conducted to see whether the projected neutrosophic parameters were attained. Not to mention that discussions of prospective NLD real-world applications have made use of actual data. To demonstrate how well the suggested model performed in comparison to the existing distributions, actual data were used.

    Keywords :

    Neutrosophic statistics , Lindley distribution , survival analysis , hazard function , metal melting point.

    References

    [1] F. Smarandache, "A unifying field in Logics: Neutrosophic Logic," in Philosophy, ed: American Research Press, 1999, pp. 1-141.

    [2] F. Smarandache, Introduction to neutrosophic statistics: Infinite Study, 2014.

    [3] F. Smarandache, "Neutrosophic Statistics is an extension of Interval Statistics, while Plithogenic Statistics is the most general form of statistics (second version)," International Journal of Neutrosophic Science, vol. 19, pp. 148-165, 2022.

    [4] H. Guan, Z. Dai, S. Guan, and A. Zhao, "A Neutrosophic Forecasting Model for Time Series Based on First-Order State and Information Entropy of High-Order Fluctuation," Entropy (Basel), vol. 21, May 1 2019.

    [5] X. Mao, Z. Guoxi, M. Fallah, and S. A. Edalatpanah, "A Neutrosophic-Based Approach in Data Envelopment Analysis with Undesirable Outputs," Mathematical Problems in Engineering, vol. 2020, pp. 1-8, 2020.

    [6] M. Aslam, "A New Failure-Censored Reliability Test Using Neutrosophic Statistical Interval Method," International Journal of Fuzzy Systems, vol. 21, pp. 1214-1220, 2019.

    [7] F. Taş, S. Topal, and F. Smarandache, "Clustering Neutrosophic Data Sets and Neutrosophic Valued Metric Spaces," Symmetry, vol. 10, 2018.

    [8] A. A. Bibani and Z. Y. Algamal, "Survival Function Estimation for Fuzzy Gompertz Distribution with neutrosophic data," International Journal of Neutrosophic Science, vol. 21, pp. 137-142, 2023.

    [9] M. J. N. S. S. Ahsan-ul-Haq, "Neutrosophic Kumaraswamy distribution with engineering application," vol. 49, pp. 269-276, 2022.

    [10] M. Albassam, M. Ahsan-ul-Haq, and M. Aslam, "Weibull distribution under indeterminacy with applications," AIMS Mathematics, vol. 8, pp. 10745-10757, 2023.

    [11] A. Alsoboh, A. Amourah, M. Darus, and R. I. A. Sharefeen, "Applications of Neutrosophic q-Poisson distribution Series for Subclass of Analytic Functions and Bi-Univalent Functions," Mathematics, vol. 11, 2023.

    [12] W.-Q. Duan, Z. Khan, M. Gulistan, A. Khurshid, and Z. Stevic, "Neutrosophic Exponential Distribution: Modeling and Applications for Complex Data Analysis," Complexity, vol. 2021, pp. 1-8, 2021.

    [13] C. J. H. J. o. M. Granados and Statistics, "Some discrete neutrosophic distributions with neutrosophic parameters based on neutrosophic random variables," vol. 51, pp. 1442-1457, 2022.

    [14] M. K. H. Hassan and M. Aslam, "DUS-neutrosophic multivariate inverse Weibull distribution: properties and applications," Complex & Intelligent Systems, 2023.

    [15] Z. Khan, M. M. A. Almazah, O. Hamood Odhah, H. M. Alshanbari, and T. Mehmood, "Generalized Pareto Model: Properties and Applications in Neutrosophic Data Modeling," Mathematical Problems in Engineering, vol. 2022, pp. 1-11, 2022.

    [16] Z. Khan, A. Amin, S. A. Khan, M. J. N. S. Gulistan, and Systems, "Statistical development of the neutrosophic Lognormal model with application to environmental data," vol. 47, p. 1, 2021.

    [17] G. S. Rao, "Neutrosophic Log-Logistic Distribution Model in Complex Alloy Metal Melting Point Applications," International Journal of Computational Intelligence Systems, vol. 16, 2023.

    [18] F. Shah, M. Aslam, Z. Khan, M. M. A. Almazah, F. S. Alduais, and M. Gulzar, "On Neutrosophic Extension of the Maxwell Model: Properties and Applications," Journal of Function Spaces, vol. 2022, pp. 1-9, 2022.

    [19] Z. Khan, M. Gulistan, N. Kausar, and C. Park, "Neutrosophic Rayleigh Model With Some Basic Characteristics and Engineering Applications," IEEE Access, vol. 9, pp. 71277-71283, 2021.

    [20] M. A. Aslam, "Neutrosophic Rayleigh distribution with some basic properties and application," in Neutrosophic Sets in Decision Analysis and Operations Research, ed: IGI Global, 2020, pp. 119-128.

    [21] D. V. J. J. o. t. R. S. S. S. B. Lindley, "Fiducial distributions and Bayes' theorem," pp. 102-107, 1958.

    [22] M. Aslam and M. S. J. J. o. K. S. U.-S. Aldosari, "Analyzing alloy melting points data using a new Mann-Whitney test under indeterminacy," vol. 32, pp. 2831-2834, 2020.

    [23] J. Kacprzyk, E. Szmidt, S. Zadrożny, K. T. Atanassov, and M. Krawczak, Advances in Fuzzy Logic and Technology 2017: Proceedings of: EUSFLAT-2017–The 10th Conference of the European Society for Fuzzy Logic and Technology, September 11-15, 2017, Warsaw, Poland IWIFSGN’2017–The Sixteenth International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets, September 13-15, 2017, Warsaw, Poland, Volume 2 vol. 642: Springer, 2017.

    Cite This Article As :
    M., Mazin. , Yahya, Marwah. , Yahya, Zakariya. Neutrosophic Lindley distribution with application for Alloying Metal Melting Point. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 65-71. DOI: https://doi.org/10.54216/IJNS.210407
    M., M. Yahya, M. Yahya, Z. (2023). Neutrosophic Lindley distribution with application for Alloying Metal Melting Point. International Journal of Neutrosophic Science, (), 65-71. DOI: https://doi.org/10.54216/IJNS.210407
    M., Mazin. Yahya, Marwah. Yahya, Zakariya. Neutrosophic Lindley distribution with application for Alloying Metal Melting Point. International Journal of Neutrosophic Science , no. (2023): 65-71. DOI: https://doi.org/10.54216/IJNS.210407
    M., M. , Yahya, M. , Yahya, Z. (2023) . Neutrosophic Lindley distribution with application for Alloying Metal Melting Point. International Journal of Neutrosophic Science , () , 65-71 . DOI: https://doi.org/10.54216/IJNS.210407
    M. M. , Yahya M. , Yahya Z. [2023]. Neutrosophic Lindley distribution with application for Alloying Metal Melting Point. International Journal of Neutrosophic Science. (): 65-71. DOI: https://doi.org/10.54216/IJNS.210407
    M., M. Yahya, M. Yahya, Z. "Neutrosophic Lindley distribution with application for Alloying Metal Melting Point," International Journal of Neutrosophic Science, vol. , no. , pp. 65-71, 2023. DOI: https://doi.org/10.54216/IJNS.210407