Todays, the performance of a process or the quality of a product in conditions of uncertainty and under distributions from the exponential distribution family is evaluated by a fuzzy communication model with binary data called fuzzy generalized linear profiles. Generalized linear profiles are a type of nonlinear profile in which process observations follow the Bernoulli or binomial distribution. In this research, approaches In order to monitor fuzzy generalized linear profiles in phase 2, we propose. The main purpose of this paper is to monitor the fuzzy statistical process to detect the time of occurrence of changes in processes as fuzzy change point and based on the principle of maximum likelihood (MLE). Is based on fuzzy observations. Performance of the proposed method for monitoring fuzzy generalized linear profiles based on the probability of an out-of-control signal using the fuzzy control diagram (FEWMA) and then estimating the fuzzy change point for the simulated data and real data.
Akram, M. A., Saif, A. W. A., & Rahim, M. A. (2012). Quality monitoring and process adjustment by integrating SPC and APC: a review. International Journal of Industrial and Systems Engineering, 11(4), 375-405.
Jarrett, J. , & Pan, X. (2009). Multivariate process control charts and their use in monitoring output quality: a perspective. International Journal of Industrial and Systems Engineering, 4(5), 471-482.
Moghadam, G., RAISSI, A. G., & Amirzadeh, V. (2015). Developing new methods to monitor phase II fuzzy linear profiles.
Pignatiello Jr, J. J., & Samuel, T. R. (2001). Estimation of the change point of a normal process mean in SPC applications. Journal of Quality technology, 33(1), 82-95.
Denœux, T. (2011). Maximum likelihood estimation from fuzzy data using the EM algorithm. Fuzzy sets and systems, 183(1), 72-91.
Chen, J., & Gupta, A. K. (2012). Multivariate Normal Model. In Parametric Statistical Change Point Analysis (pp. 89-138). Birkhäuser Boston.
Amiri, A., Eyvazian, M., Zou, C., & Noorossana, R. (2012). A parameters reduction method for monitoring multiple linear regression profiles. The International Journal of Advanced Manufacturing Technology, 58(5), 621-629.
Sharafi, A., Aminnayeri, M., & Amiri, A. (2013). An MLE approach for estimating the time of step changes in Poisson regression profiles. Scientia Iranica, 20(3), 855-860.
Yu, J. R., Tzeng, G. H., & Li, H. L. (2001). General fuzzy piecewise regression analysis with automatic change-point detection. Fuzzy sets and systems, 119(2), 247-257.
Yu, J. R., & Lee, C. W. (2010). Piecewise regression for fuzzy input–output data with automatic change-point detection by quadratic programming. Applied Soft Computing, 10(1), 111-118.
Lu, K. P., & Chang, S. T. (2016). Detecting change-points for shifts in mean and variance using fuzzy classification maximum likelihood change-point algorithms. Journal of Computational and Applied Mathematics, 308, 447-463.
Kazemi, M. S., Kazemi, K., Yaghoobi, M. A., & Bazargan, H. (2016). A hybrid method for estimating the process change point using support vector machine and fuzzy statistical clustering. Applied Soft Computing, 40, 507-516.
Moghadam, G., Ardali, G. A. R., & Amirzadeh, V. (2018). A novel phase I fuzzy profile monitoring approach based on fuzzy change point analysis. Applied Soft Computing, 71, 488-504.
Moghadam, G., RAISSI, A. G., & Amirzadeh, V. (2015). Developing new methods to monitor phase II fuzzy linear profiles.
Rezaeifar, A., Sadeghpour Gildeh, B., & Mohtashami Borzadaran, G. R. (2020). Risk-adjusted control charts based on LR-fuzzy data. Iranian Journal of Fuzzy Systems, 17(5), 69-80.
Hollaway, M. J., Henrys, P. A., Killick, R., Leeson, A., & Watkins, J. (2021). Evaluating the ability of numerical models to capture important shifts in environmental time series: A fuzzy change point approach. Environmental Modelling & Software, 139, 104993.
Wang, D., & Hryniewicz, O. (2015). A fuzzy nonparametric Shewhart chart based on the bootstrap approach. International Journal of Applied Mathematics and Computer Science, 25(2).
Ming, M., Friedman, M., & Kandel, A. (1997). General fuzzy least squares. Fuzzy sets and systems, 88(1), 107-118.
Von Altrock, C., Krause, B., & Zimmerman, H. J. (1992). Advanced fuzzy logic control of a model car in extreme situations. Fuzzy Sets and Systems, 48(1), 41-52.
Asai, H. T. S. U. K., Tanaka, S., & Uegima, K. (1982). Linear regression analysis with fuzzy model. IEEE Trans. Systems Man Cybern, 12, 903-907.
Amiri, A., & Allahyari, S. (2012). Change point estimation methods for control chart postsignal diagnostics: a literature review. Quality and Reliability Engineering International, 28(7), 673-685.
Albert, A., & Anderson, J. A. (1984). On the existence of maximum likelihood estimates in logistic regression models. Biometrika, 71(1), 1-10.
Zadeh, L. A. (1968). Probability measures of fuzzy events. Journal of mathematical analysis and applications, 23(2), 421-427.
Cheng, C. B. (2005). Fuzzy process control: construction of control charts with fuzzy numbers. Fuzzy sets and systems, 154(2), 287-303. [25] Denis Gien. (2001, November). La distance-Dp, q et le coefficient de correlation entre deux variables aleatoires floues. In encontres francophones sur la logique floue et ses applications LFA’0
McNeese, W. (2006). Over-controlling a Process: The Funnel Experiment. The Quality Toolbox. Milwaukee, Wisconsin: American Society for Quality. BPIConsulting, LLC.
Phibanchon, S., Kareem, S. A., Zain, R., Abidin, B., & Dom, R. M. (2007, August). An adaptive fuzzy regression model for the prediction of dichotomous response variables. In 2007 International Conference on Computational Science and its Applications (ICCSA 2007) (pp. 14-19). IEEE.
Shao, Y. E., & Hou, C. D. (2011). A combined MLE and EWMA chart approach to estimate the change point of a gamma process with individual observations. International Journal of Innovative Computing, Information and Control, 7(5), 2109-2122.
Pourahmad, S., Ayatollahi, S. M. T., Taheri, S. M., & Agahi, Z. H. (2011). Fuzzy logistic regression based on the least squares approach with application in clinical studies. Computers & Mathematics with Applications, 62(9), 3353-3365.
Gharegozloo,M. and Kamranrad,R. (2021). A change point estimation approach for fuzzy logistic regression profiles in Phase II. Journal of Quality Engineering and Management, 11(3), 307-322. doi: 10.48313/jqem.2021.153645
MLA
Gharegozloo,M. , and Kamranrad,R. . "A change point estimation approach for fuzzy logistic regression profiles in Phase II", Journal of Quality Engineering and Management, 11, 3, 2021, 307-322. doi: 10.48313/jqem.2021.153645
HARVARD
Gharegozloo M., Kamranrad R. (2021). 'A change point estimation approach for fuzzy logistic regression profiles in Phase II', Journal of Quality Engineering and Management, 11(3), pp. 307-322. doi: 10.48313/jqem.2021.153645
CHICAGO
M. Gharegozloo and R. Kamranrad, "A change point estimation approach for fuzzy logistic regression profiles in Phase II," Journal of Quality Engineering and Management, 11 3 (2021): 307-322, doi: 10.48313/jqem.2021.153645
VANCOUVER
Gharegozloo M., Kamranrad R. A change point estimation approach for fuzzy logistic regression profiles in Phase II. J. Qual. Eng. Manag., 2021; 11(3): 307-322. doi: 10.48313/jqem.2021.153645