An Investigative Study on Quick Switching System using Fuzzy and Neutrosophic Poisson Distribution

Abstract

Stephens and Larson (1967) stated the sampling system as allotted grouping of two or three sampling plans and the rules for switching between the plans for sentencing the lots of manufactured products. Quick Switching System (QSS) by Romboski (1969) is a sampling system with reference to Single Sampling Plan (SSP) involves Normal and Tightened plans by adopting a switching rule. QSS provides quality protection and reduction in cost of inspection. The idea of Fuzzy Logic is adopted in system to handle the situations of fraction non-confirming or uncertainty or vagueness present in the parameters. The sampling plans based on Fuzzy Set Theory in literature is used for defuzzification of fuzzy numbers to the interval sets, able to solve problem with certain values for upper and lower limit of intervals. As one of expansion of Fuzzy Sets in this era, a new philosophy is stimulated as a substantial new theoretical development is Neutrosophy Sets (NSs) and used for rise in sensitiveness that makes flexibility in the plans and systems that can be applied in the manufacturing industries. This paper enhances the determination of QSS using Neutrosophic Poisson distribution and compared with the existing Fuzzy Poisson distribution through Operating Characteristic (OC) curves.