Evaluation Of Statistical Zero Inflated Single Sampling Plan Using Fuzzy Logic

Abstract

Acceptance Sampling is a statistical technique used to determine the quality of a batch or lot of products by inspecting a random sample and ensuring products meets quality standards while minimizing inspecting costs. In a well-monitored manufacturing environment, non-conformities occur infrequently, resulting in many instances with zero non-conformities. Under such circumstances, the appropriate probability distribution for the number of non-conformities is a Zero-Inflated Poisson distribution. This paper describes in designing Single Sampling Plans by attributes when the number of non-conformities per product follows the Zero-Inflated Poisson distribution [ZIPD]. The design methodology focuses on the performance measures and OC curves are also provided. This paper focuses on designing of ZIPD using fuzzy logic theory and highlighting its efficiency with existing plans.

Keywords: Fuzzy Logic, OC Curve, Poisson distribution, SSP, Uncertainty, ZIPD.