Determination of single-sampling-attribute plans based on membership functions

Abstract

Single-sampling-attribute plans which make the producer's risk less than or equal to α (that is,  α) and the consumer's risk less than or equal to β (that is, β) are called exact sampling plans. In using exact sampling plans, however, cases often arise in which large sample size is needlessly sought. A minimax criterion which relaxes the conditions on the risks for reducing the sample size was. introduced by Fujino and Okuno. This paper presents a design procedure for relaxing the conditions on the risks by the membership functions used in fuzzy methodologies. The proposed procedure is general because it includes sampling plans based on the minimax criterion and exact sampling plans in the special. cases.