Acceptance Double Sampling Plan using Fuzzy Poisson Distribution

Abstract: All classical acceptance sampling plans were constructed with the proportion of defective that is crisp value. In the manufacturing processes, this parameter in a production lot may not be precis ely known. Hence it is meaningful to treat such parameter as fuzzy quantities. In this paper we have argued for the acceptance double sampling plan when the proportion of defective items is a fuzzy number and it is being modeled based on the fuzzy Poisson distribution. The calculation of the Operating Characteristic (OC) curves, Average Sample Number (ASN) curves, Average Outgoing Quality (AOQ) curves and Average Total Inspection (ATI) curves of the plan will be presented for double plan by using the concept of fuzzy probability. The results show that these four curves are like band having high and low bounds with their width depending on the ambiguity proportion parameter in the lot, when the size and acceptance numbers of the samples are fixed. We have als o shown that in this plan, if the process quality is perfect or poor, then the ASN and AOQ bands will be of lower value.