Fuzzy sequential sampling plan with imprecise acceptance and rejection criteria

One of the important tools in the field of statistical quality control is acceptance sampling plan which is used to make a decision about the quality of producing items. Based on the kinds of sampling methods, so far, many different classic and fuzzy plans have been designed by researchers. In this paper, sequential sampling plan is introduced when one deals with fuzzy hypotheses testing. In the proposed scheme, in addition to the inaccuracy of the proportion of defective items, the decision criteria are also assumed to be fuzzy values. In the developed plan, the continue sampling plan area separated to three parts, so that the fuzzy decision about the production is made based on which region the plotted point is located. The obtained results show that the proposed fuzzy plan includes the existing classic sequential sampling plan in a special case. Finally, a practical example is given to be more clarified.