aspg-39-4469-1792222316 20261017073156 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Neutrosophic and Information Fusion NIF 2836-7863 2026 6 2 Maha Ibrahim Faculty of Joint Degree, Tashkent State University of Economics, Uzbekistan Sajid Khan Department of Computer Science, Sukkur IBA University, Pakistan Classical Shewhart control charts assume each measurement is a single determinate number. In many real processes— automated gauges reporting tolerance bands, human inspectors giving ranges, or sensors whose readings are only trustworthy within an interval—each observation is better described by a lower and an upper value together with a degree of indeterminacy. We formulate process monitoring in the neutrosophic statistics framework, where a measurement is a neutrosophic number xN = xL+xUIN with indeterminacy interval IN ∈ [IL, IU], and we treat the reconciliation of the determinate and indeterminate parts as an information-fusion step. We derive neutrosophic control limits for the process mean, propose a three-state signalling rule (in-control / watch / out-of-control), and study the average run length (ARL) by simulation. The neutrosophic chart reduces to the Shewhart chart when indeterminacy vanishes, raises the in-control ARL modestly, and under moderate measurement indeterminacy detects a one-sigma mean shift with a smaller out-of-control ARL than a Shewhart chart applied to interval midpoints. 2026 07 11 4469 https://creativecommons.org/licenses/by/4.0/ 10.54216/NIF.060202 https://americaspg.com/journal/39/article/4469 https://americaspg.com/storage/articles/manuscripts/01KYN62G1KSQ4GWPWDJQA0HT9C.pdf