A Novel Fuzzy Cumulative Sum Control Chart with an ?-Level Cut Based on Trapezoidal Fuzzy Numbers for a Real Case Application

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dc.authoridOzdemir, Akin/0000-0002-1716-6694
dc.contributor.authorOzdemir, Akin
dc.contributor.authorUcurum, Metin
dc.contributor.authorSerencam, Hueseyin
dc.date.accessioned2024-10-04T18:48:08Z
dc.date.available2024-10-04T18:48:08Z
dc.date.issued2024
dc.departmentBayburt Üniversitesien_US
dc.description.abstractStatistical process control (SPC) is widely used to monitor production processes in many industries under certain conditions. When dealing with a quality characteristic for uncertainty, fuzzy numbers are used in the context of the statistical process control (SPC) to monitor a fuzzy production process. The aim of this paper is fourfold. One, a fuzzy X-R control chart with an alpha-level cut is used based on trapezoidal fuzzy numbers (TFNs) for detecting the large shifts in the fuzzy process mean. Second, a fuzzy cumulative sum (FCUSUM) control with an alpha-level cut based on TFNs is firstly developed for detecting the small shifts in the fuzzy process mean. Third, the fuzzy process capability indices (FPCIs) are presented to measure the fuzzy process performance. Finally, an ultra-fine calcite production process is controlled with both the fuzzy X-R control chart and the proposed FCUSUM control chart. The results of the fuzzy X-R control charts show that the fuzzy production process is in control, and large shifts in the fuzzy process mean were detected. On the other hand, the results of the FCUSUM charts show that the fuzzy production process is out of control, and small shifts in the fuzzy process mean were detected. FPCIs are also conducted, and the results of fuzzy C-pk indices show that the ultra-fine calcite production process is not capable of meeting specification limits.en_US
dc.identifier.doi10.1007/s13369-023-08256-z
dc.identifier.endpage7525en_US
dc.identifier.issn2193-567X
dc.identifier.issn2191-4281
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85175972827en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage7507en_US
dc.identifier.urihttps://doi.org/10.1007/s13369-023-08256-z
dc.identifier.urihttp://hdl.handle.net/20.500.12403/2920
dc.identifier.volume49en_US
dc.identifier.wosWOS:001101564500002en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofArabian Journal For Science and Engineeringen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFuzzy cumulative sum control charten_US
dc.subjectalpha-Level cuten_US
dc.subjectTrapezoidal fuzzy numberen_US
dc.subjectFuzzy process capability analysisen_US
dc.subjectFuzzy X-R control charten_US
dc.titleA Novel Fuzzy Cumulative Sum Control Chart with an ?-Level Cut Based on Trapezoidal Fuzzy Numbers for a Real Case Applicationen_US
dc.typeArticleen_US

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