Abstract
If the sample or population has vague, inaccurate, unidentified, deficient, 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 efficiency 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.
Highlights
The sampling plans are important instruments to judge the quality of manufactured products and components in many fields, including the packing industry, food industry, electrical engineering, aeronautical engineering, and automobile engineering
We present the design of a two-stage group-sampling plan for Weibull distribution under neutrosophic statistics
The projected two-stage group-sampling plan for Weibull distribution under neutrosophic statistics is differentiated by five design parameters, namely g1N, g2N, c1aN, c1rN, and c2aN
Summary
The sampling plans are important instruments to judge the quality of manufactured products and components in many fields, including the packing industry, food industry, electrical engineering, aeronautical engineering, and automobile engineering. [-,-] shows parameters do not exist values of g and c from the crisp method sampling plan lie in number indeterminacy interval [1, 5] From this comparithe group size indeterminacy interval [1, 3] and acceptance son, it can be seen that the new algorithm calculates more. The projected two-stage group-sampling plan for Weibull distribution under neutrosophic statistics is differentiated by five design parameters, namely g1N , g2N , c1aN , c1rN , and c2aN. The probability of lot acceptance for the proposed two-stage group-sampling plan based on neutrosophic statistics is given below:. The two-stage group-sampling plan under neutrosophic statistics shows better performance than the crisp method classical two-stage group-sampling plan proposed by Aslam et al [12]. The proposed neutrosophic approach is more cost-effective and saving of experiment time
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