The (α, β)-cut control charts for process average based on the generalised intuitionistic fuzzy number

References

• Akbari, M. G., & Rezaei, A. (2010). Bootstrap testing fuzzy hypothesis and observation on fuzzy statistic. Expert Systems with Application, 37, 5782–5787.
   Web of Science ®Google Scholar
• Alizadeh, H. M., & Ghomi, S. F. (2011). Fuzzy development of mean and range control charts using statistical properties of different representative values. Journal of Intelligent and Fuzzy Systems, 22, 253–265.
   Web of Science ®Google Scholar
• Amirzadeh, V., Mashinchi, M., & Yaghoobi, M. A. (2008). Construction of control charts using fuzzy multinomial quality. Journal of Mathematics and Statistics, 4, 26–31.
   Google Scholar
• Cheng, C. B. (2005). Fuzzy process control: Construction of control charts with fuzzy numbers. Fuzzy Sets and Systems, 154, 287–303.
   Web of Science ®Google Scholar
• Faraz, A., Baradaran Kazemzadeh, R., Bameni Moghadam, M., & Bazdar, A. (2010). Constructing a fuzzy Shewhart control chart for variables when uncertainty and randomness are combined. Quality and Quantity, 44, 905–914.
   Web of Science ®Google Scholar
• Faraz, A., & Shapiro, A. F. (2010). An application of fuzzy random variables to control charts. Fuzzy Sets and Systems, 161, 2684–2694.
   Web of Science ®Google Scholar
• Gulbay, M., & Kahraman, C. (2006). Development of fuzzy process control charts and fuzzy unnatural pattern analyses. Computational Statistics and Data Analysis, 51, 434–451.
   Web of Science ®Google Scholar
• Gulbay, M., & Kahraman, C. (2007). An alternative approach to fuzzy control charts: Direct fuzzy approach. Information Sciences, 177, 463–1480.
   Web of Science ®Google Scholar
• Gulbay, M., Kahraman, C., & Ruan, D. (2004). A-cut fuzzy controls for linguistic data. International Journal of Intelligent Systems, 19, 1173–1195.
   Web of Science ®Google Scholar
• Kahraman, C., Tolga, E., & Ulukan, Z. (1995). Using triangular fuzzy numbers in the tests of control charts for unnatural patterns. In Proceedings of the INRIA/IEEE conference on emerging technologies and factory automation (Vol. 3, pp. 129–298). 10–13 October 1995, Paris, France.
   Google Scholar
• Kanagava, A., Tamaki, F., & Ohta, H. (1993). Control chart for process average and variability based on linguistic data. International Journal of Production Research, 31, 913–922.
   Web of Science ®Google Scholar
• Kawa, M. J. R., & Suzan, S. H. (2014). Construction of control charts by using fuzzy multinomial-FM and EWMA chart “comparative study”. Journal of Zankoy Sulaimani – Part A, 16, 21–26.
   Google Scholar
• Montgomery, D. C. (2007). Introduction to statistical quality control. New York, NY: Wiley.
   Google Scholar
• Nasiri, M., & Darestani, S. A. (2016). A literature review investigation on quality control charts based on fuzzy logic. International Journal of Productivity and Quality Management, 18. doi: 10.1504/IJPQM.2016.077778
   Google Scholar
• Raz, T., & Wang, J. H. (1990). Probabilistic and memberships approaches in the construction of control charts for linguistic data. Production Planning and Control, 1, 147–157.
   Google Scholar
• Saravanan, A., & Alamelumangai, V. (2014). Performance of attribute charts and fuzzy control chart for variable data. International Journal of Advanced Research in Electrical, Electronics and Instrumentation Engineering, 3, 9758–9766.
   Google Scholar
• Senturk, S., & Antucheviciene, J. (2017). Interval type-2 fuzzy c-control charts: An application in a food company. Informatica, 28, 269–283.
   Web of Science ®Google Scholar
• Senturk, S., & Erginel, N. (2009a). Development of fuzzy X‾˜-S‾ and X‾˜-R control chart using α-cut. Information Sciences, 179, 1542–1551.
   Web of Science ®Google Scholar
• Senturk, S., & Erginel, N. (2009b). Development of fuzzy and control charts using α-cuts. Information Sciences, 179, 1542–1551.
   Web of Science ®Google Scholar
• Shabani, A., & Baloui Jamkhanh, E. (2014). A new generalized intuitionistic fuzzy number. Journal of Fuzzy Set Valued Analysis, 1–10.
   Google Scholar
• Sogandi, F., Mousavi, S. M., & Ghanaatiyan, R. (2014). An extension of fuzzy P-control chart based on cut fuzzy midrange. Advanced Computational Techniques in Electromagnetics, 1–8.
   Google Scholar
• Sorooshian, S. (2013). Fuzzy approach to statistical control charts. Journal of Applied Mathematics.
   PubMed Web of Science ®Google Scholar
• Taleb, H., & Limam, M. (2002). On fuzzy and probabilistic control charts. International Journal of Production Research, 40, 2849–2863.
   Web of Science ®Google Scholar
• Wan, S. (2013). Power average operators of trapezoidal intuitionistic fuzzy numbers and application to multi-attribute group decision making. Applied Mathematical Modelling, 37, 4112–4126.
   Web of Science ®Google Scholar
• Wang, D., Li, P., & Yasuda, M. (2014). Construction of fuzzy control charts based on weighted possibilistic mean. Communications in Statistics – Theory and Methods, 43, 3186–3207.
   Web of Science ®Google Scholar
• Wang, J. H., & Raz, T. (1990). On the construction of control charts using linguistic variables. International Journal of Production Research, 28, 477–487.
   Web of Science ®Google Scholar
• Wu, Z., & Jiao, J. X. (2008). A control chart for monitoring process mean based on attribute inspection. International Journal of Production Research, 46, 4331–4347.
   Web of Science ®Google Scholar
• Zabihinpour, S. M., Ariffin, M. K. M., Tang, S. H., & Azfanizam, A. S. (2014). Fuzzy based approach for monitoring the mean and range of the products quality. Journal of Applied Environmental and Biological Sciences, 4, 1–7.
   Google Scholar
• Zabihinpour, S. M., Saghaei, A., & Ariffin, M. K. A. (2012). A review on fuzzy control charts for monitoring attribute data. Applied Mechanics and Materials, 159, 23–28.
   Google Scholar
• Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.
   Web of Science ®Google Scholar
• Zarandi, M. H., Aladdin, A., & Turksen, I. B. (2008). A hybrid fuzzy adaptive sampling run rules for Shewhart control charts. Information Sciences, 178, 1152–1170.
   Web of Science ®Google Scholar