International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 24 , Issue 2 , PP: 198-209, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

On the Development of Fuzzy Estimators for Life Time Distributions based on Censored Fuzzy Life Times

Mohammad Abiad 1 , Muhammad Shafiq 2 * , Syed Habib Shah 3 , Muhammad Atif 4 *

  • 1 College of Business Administration, American University of the Middle East, Kuwait - (mohammad.abiad@aum.edu.kw)
  • 2 Institute of Numerical Sciences, Kohat University of Science & Technology, KP, Pakistan - (shafiq@kust.edu.pk)
  • 3 Institute of Numerical Sciences, Kohat University of Science & Technology, KP, Pakistan - (shspk@yahoo.com)
  • 4 Department of Statistics, University of Peshawar, KP, Pakistan - (m.atif@uop.edu.pk.com)
  • Doi: https://doi.org/10.54216/IJNS.240217

    Received: October 11, 2023 Revised: February 27, 2024 Accepted: April 29, 2024
    Abstract

    Lifetime analyses comprise the techniques dealing with observations obtained from the occurrence of a specified event(s). In most of the situations dealing with lifetime observations, some units are recorded as censored observations. Dealing with censored observations makes these techniques unique. Countless standard statistical tools are available for inference based on censored lifetime observations. These classical techniques consider lifetime observations as precise numbers and ignore the uncertainty of single observations. Whereas in practical applications it is not possible to measure life times as precise numbers, they are always more or less nonprecise. The imprecision in measurements can be covered by neutrosophic set. Fuzzy estimators for life time distributions potentially use neutrosophic system to model and analyze the inherent uncertainties and neutalities present in the data and the parameter estimates. This study aimed to obtain estimators for the Weibull parameters and two exponential parameters based on the up-to-date fuzzy number approach, a special case for neutrosophic set. The suggested estimators incorporate fuzziness in addition to random variation, which makes these estimators more realistic. The same techniques need to be extended to fuzzy and neutrosophic sets.

    Keywords :

    Characterizing function , Fuzzy numbers , Life time , Non-precise data , Neutrosophic sets

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    Cite This Article As :
    Abiad, Mohammad. , Shafiq, Muhammad. , Habib, Syed. , Atif, Muhammad. On the Development of Fuzzy Estimators for Life Time Distributions based on Censored Fuzzy Life Times. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 198-209. DOI: https://doi.org/10.54216/IJNS.240217
    Abiad, M. Shafiq, M. Habib, S. Atif, M. (2024). On the Development of Fuzzy Estimators for Life Time Distributions based on Censored Fuzzy Life Times. International Journal of Neutrosophic Science, (), 198-209. DOI: https://doi.org/10.54216/IJNS.240217
    Abiad, Mohammad. Shafiq, Muhammad. Habib, Syed. Atif, Muhammad. On the Development of Fuzzy Estimators for Life Time Distributions based on Censored Fuzzy Life Times. International Journal of Neutrosophic Science , no. (2024): 198-209. DOI: https://doi.org/10.54216/IJNS.240217
    Abiad, M. , Shafiq, M. , Habib, S. , Atif, M. (2024) . On the Development of Fuzzy Estimators for Life Time Distributions based on Censored Fuzzy Life Times. International Journal of Neutrosophic Science , () , 198-209 . DOI: https://doi.org/10.54216/IJNS.240217
    Abiad M. , Shafiq M. , Habib S. , Atif M. [2024]. On the Development of Fuzzy Estimators for Life Time Distributions based on Censored Fuzzy Life Times. International Journal of Neutrosophic Science. (): 198-209. DOI: https://doi.org/10.54216/IJNS.240217
    Abiad, M. Shafiq, M. Habib, S. Atif, M. "On the Development of Fuzzy Estimators for Life Time Distributions based on Censored Fuzzy Life Times," International Journal of Neutrosophic Science, vol. , no. , pp. 198-209, 2024. DOI: https://doi.org/10.54216/IJNS.240217