Single‑stage and two‑stage total failure‑based group‑sampling plans for the Weibull distribution under neutrosophic statistics

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Springer

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Full text article. Also available at https://doi.org/10.1007/s40747-020-00253-1
If the sample or population has vague, inaccurate, unidentifed, defcient, indecisive, or fuzzy data, then the available sampling plans could not be suitable to use for decision-making. In this article, an improved group-sampling plan based on time truncated life tests for Weibull distribution under neutrosophic statistics (NS) has been developed. We developed improved single and double group-sampling plans based on the NS. The proposed design neutrosophic plan parameters are obtained by satisfying both producer’s and consumer’s risks simultaneously under neutrosophic optimization solution. Tables are constructed for the selected shape parameter of Weibull distribution and various combinations of neutrosophic group size. The efciency of the proposed group-sampling plan under the neutrosophic statistical interval method is also compared with the crisp method grouped sampling plan under classical statistics.

Keywords

Neutrosophic statistics, Sampling plans, Neutrosophic non-linear problem, Consumer’s risk, Group acceptance sampling

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