World Academy of Science, Engineering and Technology
Published January 20, 2009 | Version 14503
Journal article Open

Acceptance Single Sampling Plan with Fuzzy Parameter with The Using of Poisson Distribution

Description

This purpose of this paper is to present the acceptance single sampling plan when the fraction of nonconforming items is a fuzzy number and being modeled based on the fuzzy Poisson distribution. We have shown that the operating characteristic (oc) curves of the plan is like a band having a high and low bounds whose width depends on the ambiguity proportion parameter in the lot when that sample size and acceptance numbers is fixed. Finally we completed discuss opinion by a numerical example. And then we compared the oc bands of using of binomial with the oc bands of using of Poisson distribution.

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References

  • J. J. Buckley (2003) fuzzy probability: new approach and application, physica-velage, Hidelberg ,Germany.
  • J.J. Buckley (2006) fuzzy probability and statistics, springer-verlage Berlin Hidelberg.
  • D. Dubis , H. Prade (1978) Operations of fuzzy number, Int. J. syst.
  • B.P.M. Duate, P.M. Saraiva, "An optimization basd approach for designing attribute acceptance sampling plans, " Int. journal of quality & reliability management.vol. 25 no. 8,2008.
  • P. Grzegorzewski(1988) A soft design of acceptance sampling by attributes, in: proceedings of the VIth international workshop on intelligent statistical quality control Wurzburg, September 14-16 , PP.29-38.
  • P. Grzegorzewski (2001 b) Acceptance sampling plans by attributes with fuzzy risks and quality levels, in: Frontiers in frontiers in statistical quality control. Vol. 6, Eds. Wilrich P. Th. Lenz H. J. Springer, Heidelberg, PP. 36-46.
  • P. Grzegorzewski (2002) A soft design of acceptance sampling plans by variables, in: technologies for contrueting intelligent systems, Eds, speringer, vol. 2. pp. 275-286.
  • O. Hryniewisz (1992) statistical acceptance sampling with uncertain information from a sample and fuzzy quality criteria working paper of SRI PAS, Warsow, (in polish).
  • A. Kanagawa,H. Ohta (1990), A design for single sampling attribute plan based on fuzzy set theory, fuzzy sets and systems, 37. 173-181. [10] D. C. Montgomery (1991), introduction to statistical quality control, wiley New york. [11] H. Ohta ,H. Ichihashi (1998), Determination of single-sampling attribute plans based on membership function, Int. J. Prod, Res 26, 1477-1485. [12] J. L. Romeu, Understanding binomial sequential testing, Rac start, Volume 12, Number 2. [13] E.G. Schiling (1982), acceptance sampling quality control, Dekker, Newyork. [14] F. Tamaki , A. Kanagawa, Ohta H. (1991), A fuzzy design of sampling inspection plans by attributes, Japanese journal of fuzzy theory and systems, 3, 315-327