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.<\/p>\r\n","references":"[1] J. J. Buckley (2003) fuzzy probability: new approach and application, physica-velage, Hidelberg ,Germany.\r\n[2] J.J. Buckley (2006) fuzzy probability and statistics, springer-verlage Berlin Hidelberg.\r\n[3] D. Dubis , H. Prade (1978) Operations of fuzzy number, Int. J. syst.\r\n[4] B.P.M. Duate, P.M. Saraiva, \"An optimization basd approach for\r\ndesigning attribute acceptance sampling plans, \" Int. journal of quality &\r\nreliability management.vol. 25 no. 8,2008.\r\n[5] 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.\r\n[6] P. Grzegorzewski (2001 b) Acceptance sampling plans by attributes with\r\nfuzzy risks and quality levels, in: Frontiers in frontiers in statistical quality\r\ncontrol. Vol. 6, Eds. Wilrich P. Th. Lenz H. J. Springer, Heidelberg, PP. 36-46.\r\n[7] P. Grzegorzewski (2002) A soft design of acceptance sampling plans by\r\nvariables, in: technologies for contrueting intelligent systems, Eds, speringer,\r\nvol. 2. pp. 275-286.\r\n[8] O. Hryniewisz (1992) statistical acceptance sampling with uncertain\r\ninformation from a sample and fuzzy quality criteria working paper of SRI\r\nPAS, Warsow, (in polish).\r\n[9] A. Kanagawa,H. Ohta (1990), A design for single sampling attribute plan\r\nbased on fuzzy set theory, fuzzy sets and systems, 37. 173-181.\r\n[10] D. C. Montgomery (1991), introduction to statistical quality control,\r\nwiley New york.\r\n[11] H. Ohta ,H. Ichihashi (1998), Determination of single-sampling attribute\r\nplans based on membership function, Int. J. Prod, Res 26, 1477-1485.\r\n[12] J. L. Romeu, Understanding binomial sequential testing, Rac start,\r\nVolume 12, Number 2.\r\n[13] E.G. Schiling (1982), acceptance sampling quality control, Dekker, Newyork.\r\n[14] F. Tamaki , A. Kanagawa, Ohta H. (1991), A fuzzy design of sampling\r\ninspection plans by attributes, Japanese journal of fuzzy theory and systems, 3,\r\n315-327","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 25, 2009"}