Sampling Scheme For Accepting A Pile Of Fuzzy Quality Products: Why And How?

Authors

20.1001.1.27174409.1398.2.1.2.0/DOR

Abstract

In classical design, most sampling designs for acceptance, usually all observations and design parameters are considered exact values, but in practice, ambiguity in the estimated value of some parameters and even the values ​​reported for observations is inevitable. In this paper, after stating the reason for considering the ratio of defective stacked items inaccurate, we generalize a variable one-step sampling scheme based on the ratio of fuzzy stacked defective items in the presence of accurate observations. Also, while examining the characteristic performance curve of the introduced design, a practical example is used at the end of the article to better understand the content. The results showed that the proposed design in fuzzy environment can be used as a generalization of the existing design in non-fuzzy environment.

 






 

Keywords

References

[1] پرچمی، ع.، نمودارهای کنترل شوهارت بر اساس کیفیت فازی، سیستم های فازی و کاربردها، دوره یکم شماره یکم، ۱۳۹۷، ص ۵۵-۷۲.
 
[2] طاهری، س.م.، آشنایی با نظریه مجموعه های فازی، چاپ دوم، انتشارات جهاد دانشگاهی دانشگاه فردوسی مشهد، ۱۳۷۸.
 
[3] طاهری، س. م.، مقدمه ای بر احتمال و آمار فازی، انتشارات دانشگاه شهید باهنر کرمان، ۱۳۸۷.
 
[4] Afshari, R., Sadeghpour Gildeh, B. and Sarmad, M., Fuzzy multiple deferred state attribute sampling plan in the presence of inspection errors, Journal of Intelligent and Fuzzy Systems, 33(1) (2017) 503-514.
 
[5] Afshari, R., Sadeghpour Gildeh, B. and Sarmad, M., Multiple deferred state sampling plan with fuzzy parameter, International Journal of Fuzzy Systems, 20(2) (2018) 549-557.
 
[6] Aslam, M., Azam, M. and Jun, C. H., A new lot inspection procedure based on exponentially weighted moving average. International Journal of Systems Science, 46(8) (2013) 1392-1400.
 
[7] Baloui Jamkhaneh, E., Sadeghpour Gildeh, B. and Yari, G., Acceptance single Sampling plan with fuzzy parameter. Iranian Journal of Fuzzy Systems, 8(2) (2011) 47-55.
 
[8] Baloui Jamkhaneh, E. and Sadeghpour Gildeh, B., Acceptance double sampling plan using fuzzy poisson distribution. World Applied Sciences Journal, 16(11) (2012) 1578-1588.
 
[9] Baloui Jamkhaneh, E., Sadeghpour Gildeh, B. and Yari, G., Inspection error and its effects on single sampling plans with fuzzy parameters. Structural and multi-disciplinary Optimization, 43(4) (2011) 555-560.
 
[10] Baloui Jamkhaneh, E. and Sadeghpour Gildeh, B., Sequential sampling plan using fuzzy SPRT. Journal of Intelligent Fuzzy Systems, 25(3)(2013) 785-791.
 
[11] Buckley, J. J., (2003), Fuzzy probability. New approach and application, Physica-Verlage, Heidelberg.
 
[12] Buckley, J. J. (2004). Uncertain probabilities III: the continuous case. Soft computing, 8(3), 200-206.
 
[13] Buckley, J. J., (2006), Fuzzy probability and statistics. Springer Verlag, Berlin Heidelberg.
 
[14] Chakraborty, T. K., A class of single sampling plans based on fuzzy optimization. Quality Control and Applied Statistics, 37(7) (1992) 359-362.
 
[15] Dubois, D. and Prade, H., Operations of fuzzy numbers. International Journal of Systems Science, 9(6) (1978) 613-626.
 
[16] Duncan, A. J., (1986), Quality Control and Industrial Statistics. 5th ed. Home- wood, IL: Irwin.
 
[17] Klir G. J. and Yuan B., (1995), Fuzzy Sets and Fuzzy Logic: Theory and Appli- cations. Prentice Hall, New Jersey.
 
[18] Montgomery, D. C., (2012), Introduction to Statistical Quality Control. Wiley, New York.
 
[19] Parchami, A., Testing fuzzy quality in engineering management, In Intelligent Techniques in Engineering Management, (2015) 431-447, Springer, Cham.
 
[20] Parchami, A., Sadeghpour Gildeh, B., Taheri, S.M. and Mashinchi, M., A gen- eral p-value-based approach for testing quality by considering fuzzy hypothesis, Journal of Intelligent and Fuzzy Systems, 32(3) (2017) 1649-1658.
 
[21] Parchami, A., Taheri, S.M., Sadeghpour Gildeh, B. and Mashinchi, M., A sim- ple but efficient approach for testing fuzzy hypotheses, Journal of Uncertainty Analysis and Applications, 4(1) (2016) 2.
 
[22] Sadeghpour Gildeh, B. and Gien, D., Dp,q- distance and the correlation coef- ficient between two fuzzy random variables. Rencontres Franceophones sur la logique floue et ses applications, Mons, Belgique, (2001), 97-101,
 
[23] Schilling, E. G. and Neubauer D. V., (2017), Acceptance Sampling in Quality Control. CRC Press, Florida.
 
[24] Tong, X. and Wang, Z., Fuzzy acceptance sampling plans for inspection of geospatial data with ambiguity in quality characteristics. Computers & Geo- sciences, 48(11) (2012) 256-266.
 
[25] Viertle, R., (2011), Statistical Methods for Fuzzy Data. John Wiley and Sons.

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History

  • Receive Date: 05 March 2019
  • Accept Date: 19 July 2019

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