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Yalcin, S., Kaya, I.. (1400). Design and analysis of process capability indices cpm and cpmk by neutrosophic sets. نشریه علمی دانشگاه سیستان و بلوچستان, 19(1), 13-30. doi: 10.22111/ijfs.2022.6548
S. Yalcin; I. Kaya. "Design and analysis of process capability indices cpm and cpmk by neutrosophic sets". نشریه علمی دانشگاه سیستان و بلوچستان, 19, 1, 1400, 13-30. doi: 10.22111/ijfs.2022.6548
Yalcin, S., Kaya, I.. (1400). 'Design and analysis of process capability indices cpm and cpmk by neutrosophic sets', نشریه علمی دانشگاه سیستان و بلوچستان, 19(1), pp. 13-30. doi: 10.22111/ijfs.2022.6548
Yalcin, S., Kaya, I.. Design and analysis of process capability indices cpm and cpmk by neutrosophic sets. نشریه علمی دانشگاه سیستان و بلوچستان, 1400; 19(1): 13-30. doi: 10.22111/ijfs.2022.6548

Design and analysis of process capability indices cpm and cpmk by neutrosophic sets

Iranian Journal of Fuzzy Systems
مقاله 3، دوره 19، شماره 1، فروردین و اردیبهشت 2022، صفحه 13-30    اصل مقاله (425.3 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2022.6548
نویسندگان
S. Yalcin* 1؛ I. Kaya2
1Department of Industrial Engineering, Beykent University, 34398, Sariyer, Istanbul, Turkey
2Department of Industrial Engineering, Yildiz Technical University, 34349, Yildiz, Istanbul, Turkey
چکیده
Process capability indices (PCIs) have been widely used to analyze capability of the process that measures how the customer expectations have been conformed. Two of the well-known PCIs, named indices  C_{pm}  and  C_{pmk}  have been developed to consider customers' ideal value that called target value ( T ). Although, these indices have similar features of the well-known indices C_{p}  and  C_{pk} , one of the most important differences is to consider \textit{T}. In real case problems, we need to add some uncertainties related with human's evaluations into process capability analysis (PCA). One of the uncertainty modelling methods called neutrosophic sets (NSs), have an important role in modeling uncertainty based on incomplete and inconsistent information. For this aim, the PCIs have been designed by using NSs to manage the uncertainties of systems and to increase sensitiveness, flexibility and to obtain more detailed results of PCA in this paper. For this aim, the indices  C_{pm} and C_{pmk} have been performed and re-designed by using single valued neutrosophic numbers for the first time in the literature. Additionally, specification limits (SLs) have been re-considered by using NSs. The neutrosophic state of the SLs provide us to have more knowledge about the process and easily applied for engineering problems that includes uncertainty. Finally, the neutrosophic process capability indices (NPCIs) \widetilde{\dddot{C}}_{pm} and \widetilde{\dddot{C}}_{pmk} have been obtained and the main formulas of them have been produced. Additionally, the proposed \widetilde{\dddot{C}}_{pm} and \widetilde{\dddot{C}}_{pmk} have been applied on real case studies from manufacturing industry. The obtained results show that the indices \widetilde{\dddot{C}}_{pm} and \widetilde{\dddot{C}}_{pmk} include more informative and flexible results to evaluate capability of process.
کلیدواژه‌ها
Process capability analysis؛ process capability index؛ neutrosophic set؛ single valued neutrosophic numbers؛ neutrosophic specification limits
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