Provide Fuzzy-Statistical Process Quality Control Diagrams Using Fuzzy Operator

Document Type : Original Article

Author

20.1001.1.27174409.1399.3.2.10.7/DOR

Abstract

Fuzzy logic believes that ambiguity is in the nature of science. Contrary to popular belief that approximations need to be refined to increase productivity, the founder of fuzzy logic, Lotfizadeh, believes that models should be sought to model ambiguity as part of the system. This paper monitors and controls processes with fuzzy information through a fuzzy operator instead of non-fuzzy operators, and illustrates this using an industrial example.

Keywords


[1] A. Faraz, A. F. Shapiro, An application of fuzzy random variables to control charts. Fuzzy Sets and Systems, 161 (2010), 2684 – 2694.
 
[2] M. Gulbay, C. Kahraman and D., Ruan, a-Cut Fuzzy control charts for linguistic data. International Journal of Intelligent Systems, 19 (2004), 1173–1195.
 
[3] M. Gulbay and C. Kahraman, An alternative approach to fuzzy control charts: Direct fuzzy approach. Information Sciences, 177 (2007), 1463–1480.
 
[4] I. Kaya, C. Kahraman, Process capability analyses based on fuzzy measurements and fuzzy control charts. Expert Systems with Applications, 38 (2011), 3172–3184.
 
[5] M. Khademi and V. Amirzadeh, Fuzzy rules for fuzzy X and R control charts, Iranian Journal of Fuzzy Systems, 11 (2014), 55-66.
 
[6] M. Khademi and V. Amirzadeh, Process control using assumed fuzzy test and fuzzy acceptance region, Journal of Mahani Mathematical Research Center, 2 (2015), 29-37.
 
[7] H. Moheb Alizadeha, S.M.T. Fatemi Ghomib, Fuzzy development of mean and range control charts using statistical properties of different representative values. Journal of Intelligent Fuzzy Systems, 22 (2011), 253-265.
 
[8] D. C. Montgomery, Introduction to Statistical Quality Control, John Wiley Sons, New York, 4 (2005).
 
[9] A. F. Shapiro, Fuzzy random variables. Insurance: Mathematics and Economics,44 (2009), 307-314.
 
[10] W. A. Shewhart, Economic Control of Quality of Manufactured Product, D. Van Nostrand, Inc., Princeton, NJ., (1937).
 
[11] J. H. Wang and T. Raz, on the construction of control charts using linguistic variables, International Journal of Production Research, 28 (1990), 477-487.