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A New Failure-Censored Reliability Test Using Neutrosophic Statistical Interval Method

  • Muhammad AslamEmail author
Article
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Abstract

The failure-censored reliability tests available in the literature are applied when under the assumption that all failure data/observations are precise, clear and determinate. But, in practice, when the variable failure data/observations obtained from the measurement process are not precise, clear and determinate, the failure-censored reliability tests using classical statistics cannot be applied for the reliability testing. A more generalized form of the classical statistics is known as neutrosophic statistics which can be applied when the measurable failure data/observations are indeterminate, unclear, incomplete and vague. In this manuscript, we will originally design failure-censored reliability tests using the neutrosophic fuzzy approach. The neutrosophic plan parameters of the proposed neutrosophic fuzzy failure-censored reliability plan assume that the failure time follows the neutrosophic Weibull distribution. The neutrosophic fuzzy optimization problem is used to determine the neutrosophic plan parameters for given producer’s risk and consumer’s risk. Some tables are given for the practical use and exampled with the help of an example.

Keywords

Neutrosophic statistics Fuzzy approach Neutrosophic Weibull distribution Neutrosophic plan parameters Risk 

Notes

Acknowledgements

The author is deeply thankful to the editor and the reviewers for their valuable suggestions to improve the quality of this manuscript. This work was supported by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant No. (D-045-130-1440). The author, therefore, gratefully acknowledge the DSR technical and financial support.

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Copyright information

© Taiwan Fuzzy Systems Association and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Statistics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

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