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Article Type

Research Article

Abstract

Classical acceptance sampling plans require precisely specified parameter values, an assumption routinely violated by measurement uncertainty and gauge imprecision in practice. This article develops Neutrosophic Time-Truncated Acceptance Sampling Plans (N-TTASP) for the Exponentiated Weibull (EW) distribution by representing the scale parameter as a neutrosophic interval. The neutrosophic sample size nN ∈ [nL,nU] and acceptance number cN ∈ [cL,cU] are obtained by minimizing nU subject to dual producer and consumer risk constraints on the neutrosophic Operating Characteristic interval. A new indeterminacy ratio η is introduced as a scalar diagnostic of plan uncertainty. Plan tables, a sensitivity analysis covering both the indeterminacy width δ and the EW shape parameters θ, K, real-data illustrations on two independent reliability benchmarks (ball-bearing fatigue failure times and the Aarset bathtub-hazard device-failure data) with goodness-of-fit assessment, and 50 000-replication Monte Carlo validations are provided. Comparative studies demonstrate that the proposed plan satisfies both producer’s and consumer’s risk requirements while requiring substantially smaller sample sizes than comparable existing approaches. This study presents the first neutrosophic time-truncated single acceptance sampling plan based on the Exponentiated Weibull distribution, incorporating interval-valued scale uncertainty and minimum-sample-size optimization under dual producerconsumer risk constraints.

Keywords

Neutrosophic statistics, Acceptance sampling, Time-truncated life test, Exponentiated Weibull distribution, Operating characteristic function, Reliability engineering, Quality control, Life testing, Statistical quality control

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