17
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Point estimation of descriptive univariate process capability indices with allowable limits and uncertain quality measurement method

ORCID Icon &
Received 15 Nov 2023, Accepted 29 Apr 2024, Published online: 14 Jun 2024

References

  • Balamurali S, Usha M. Optimal designing of variables quick switching system based on the process capability index C pk. J Ind Prod Eng. 2014;31(2):85–94. doi: 10.1080/21681015.2014.893929
  • Gupta MK, Mia M, Pruncu CI, et al. Correction to: Parametric optimization and process capability analysis for machining of nickel-based super alloy. Int J Adv Manuf Technol. 2023;124(3–4):1337–1338. doi: 10.1007/s00170-022-10571-y
  • Chen CH, Chou CY, Kan CC, et al. Production quantity and specification limits settings by considering specified process capability value. J Ind Prod Eng. 2014;31(4):229–237. doi: 10.1080/21681015.2014.934505
  • Sardesai S, Klingebiel K. Maintaining viability by rapid supply chain adaptation using a process capability index. Omega. 2023;115:102778. doi: 10.1016/j.omega.2022.102778
  • Yang CM, Chen KS. An integrated contract manufacturer selection and product quality optimization methodology for the mechanical manufacturing industry. Expert Syst Appl. 2021;183:115336. doi: 10.1016/j.eswa.2021.115336
  • Afshari R, Nadi AA, Johannssen A, et al. The effects of measurement errors on estimating and assessing the multivariate process capability with imprecise characteristic. Comput Ind Eng. 2022;172:108563. doi: 10.1016/j.cie.2022.108563
  • Kane VE. Process capability indices. J Qual Technol. 1986;18(1):41–52. doi: 10.1080/00224065.1986.11978984
  • Pearn WL, Kotz S, Johnson NL. Distributional and inferential properties of process capability indices. J Qual Technol. 1992;24(4):216–231. doi: 10.1080/00224065.1992.11979403
  • Zadeh LA. Fuzzy sets. Inf Control. 1965;8(3):338–353. doi: 10.1016/S0019-9958(65)90241-X
  • Gülbay M, Kahraman C. Development of fuzzy process control charts and fuzzy unnatural pattern analyses. Comput Stat Data Anal. 2006;51(1):434–451. doi: 10.1016/j.csda.2006.04.031
  • Avakh Darestani S, Nasiri M. Statistical process control: Fuzzy-S control chart and process capability indices in normal data environment. Int J Qual Reliab Manage. 2016;33(1):2–24. doi: 10.1108/IJQRM-08-2013-0130
  • Chang CM, Kao CH, Sha WS, et al. Multilevel control chart and fuzzy set theory to monitor inpatient falls. J Bus Res. 2016;69(6):2284–2288. doi: 10.1016/j.jbusres.2015.12.043
  • Ercan-Teksen H, Anagün AS. Interval type-2 fuzzy c-control charts using likelihood and reduction methods. Soft Comput. 2018;22(15):4921–4934. doi: 10.1007/s00500-018-3104-2
  • Hesamian G, Akbari MG, Ranjbar E. Exponentially weighted moving average control chart based on normal fuzzy random variables. Int J Fuzzy Syst. 2019;21(4):1187–1195. doi: 10.1007/s40815-019-00610-4
  • Wibawati M, Purhadi M, Irhamah, et al. A fuzzy bivariate poisson control chart. Symmetry. 2020;12(4):573. doi: 10.3390/sym12040573
  • Özdemir A. Development of fuzzy $ \bar{X} - S $ control charts with unbalanced fuzzy data. Soft Comput. 2021;25(5):4015–4025. doi: 10.1007/s00500-020-05430-5
  • Lo W, Yang CM, Lai KK, et al. Developing a novel fuzzy evaluation model by one-sided specification capability indices. Mathematics. 2021;9(10):1076. doi: 10.3390/math9101076
  • Choi YH, Na GY, Yang J. Fuzzy-inference-based decision-making method for the systematization of statistical process capability control. Comput Ind. 2020;123:103296. doi: 10.1016/j.compind.2020.103296
  • Al-Refaie A, Obaidat A, Fouad RH, et al. A fuzzy-logic approach for developing variables control charts and process capability indices under linguistic measurements. ARPN J Eng Appl Sci. 2019;14(6):1120–1139.
  • Hesamian G, Akbari MG. Fuzzy process capability indices based on imprecise observations induced from non-normal distributions. Comput Appl Math. 2018;37(5):5715–5726. doi: 10.1007/s40314-018-0657-8
  • Ganji ZA, Gildeh BS. A new fuzzy process capability index for asymmetric tolerance interval. Int J Fuzzy Syst Appl (IJFSA). 2017;6(3):74–104. doi: 10.4018/IJFSA.2017070104
  • Sheng Z, Cheng L. A method to construct the confidence intervals for process capability indices based on fuzzy set theory. In: 2016 3rd International Conference on Information Science and Control Engineering (ICISCE); Beijing, China. IEEE; 2016. p. 758–762.
  • Montgomery DC. Statistical quality control. Vol. 7. (NY): Wiley; 2009.
  • Kaya I, Kahraman C. Fuzzy process capability analyses: An application to teaching processes. J Int Fuzzy Syst. 2008;19(4–5):259–272.
  • Parchami A, Mashinchi M, Maleki HR. Fuzzy confidence interval for fuzzy process capability index. J Int Fuzzy Syst. 2006;17(3):287–295.
  • Chen TW, Lin JY, Chen KS. Fuzzy evaluation of process capability for bigger-the-best type products. Int J Adv Manuf Technol. 2003;21(10–11):820–826. doi: 10.1007/s00170-002-1398-8
  • Lee HT. Cpk index estimation using fuzzy numbers. Eur J Oper Res. 2001;129(3):683–688. doi: 10.1016/S0377-2217(99)00438-5
  • Lee YH, Wei CC, Chang CL. Fuzzy design of process tolerances to maximise process capability. Int J Adv Manuf Technol. 1999;15(9):655–659. doi: 10.1007/s001700050115
  • Yongting C. Fuzzy quality and analysis on fuzzy probability. Fuzzy Sets Syst. 1996;83(2):283–290. doi: 10.1016/0165-0114(95)00383-5
  • Kaya İ, Kahraman C. Process capability analyses based on fuzzy measurements and fuzzy control charts. Expert Syst Appl. 2011;38(4):3172–3184. doi: 10.1016/j.eswa.2010.09.004
  • Aebtarm S, Bouguila N. An empirical evaluation of attribute control charts for monitoring defects. Expert Syst Appl. 2011;38(6):7869–7880. doi: 10.1016/j.eswa.2010.12.093
  • Zhou J, Yang F, Wang K. Fuzzy arithmetic on LR fuzzy numbers with applications to fuzzy programming. J Int Fuzzy Syst. 2016;30(1):71–87. doi: 10.3233/IFS-151712
  • Dutta P, Ali T. Uncertainty modeling in risk analysis: a fuzzy set approach. Int J Comput Appl. 2012;43(17):35–39. doi: 10.5120/6199-8734
  • Zabihinpour SM, Ariffin MKA, Tang SH, et al. Fuzzy based approach for monitoring the mean and range of the products quality. J Appl Envir & Biolog Sci. 2014;4:1–7.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.