Analyzing of process capability indices based on neutrosophic sets

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dc.authorid272894en_US
dc.authorid137895en_US
dc.contributor.authorYalçın, Selin
dc.contributor.authorKaya, İhsan
dc.date.accessioned2023-03-09T09:50:01Z
dc.date.available2023-03-09T09:50:01Z
dc.date.issued2022
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractProcess capability analysis (PCA) is an important statistical approach for measuring and analyzing the ability to meet specifications. This analysis has been generally applied by obtaining process capability indices (PCIs). The indices named Cp and Cpk are the most commonly used for this aim. Although PCIs are completely effective statistics to analyze process’ capability, the complexity of the production processes based on uncertainty aris ing from human thinking, incomplete or vague information makes it difficult to analyze the process capability with precise values. When the process includes uncertain, complex, incomplete and inaccurate information, the capability of the process can be successfully analyzed by using the fuzzy set theory (FST). Neutrosophic sets (NSs), one of the fuzzy set extensions, have an ability to deliver more successful results for modeling uncertainty, since they contain the membership functions of truth, indeterminacy, and falsity definitions rather than an only membership function. This feature provides a strong advantage and important capability for modeling uncertainty. In this paper, PCA has been performed based on NSs for more effectively modeling uncertainties of the process. For this purpose, specification limits (SLs) have been reconsidered by using NSs and two of the well-known process capability indices (PCIs) named Cp and Cpk have been reformulated. Additionally, design and analysis of the indices Cp and Cpk are investigated based on NSs. Finally, the neutrosophic process capability indices (NPCIs) C ... Cp and Cpk ... Cpk have been derived for three cases that are created by defining SLs to model uncertainties. Additionally, the indices ... Cp and ... Cpkhave also been applied and analyzed on some real case problems from automotive industry. The obtained results show that the NPCIs support the quality engineers to easily define SLs and obtain more flexible and realistic evaluations for PCA.en_US
dc.identifier.doi10.1007/s40314-022-01973-5
dc.identifier.issn1525-7770
dc.identifier.scopus2-s2.0-85136972993en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1007/s40314-022-01973-5
dc.identifier.wosWOS:000842158100001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.subjectProcess capability analysisen_US
dc.subjectProcess capability indexen_US
dc.subjectNeutrosophic setsen_US
dc.subjectSingle valued neutrosophic numbersen_US
dc.titleAnalyzing of process capability indices based on neutrosophic setsen_US
dc.typeArticleen_US

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