ESTIMATION OF NEUTROSOPHIC POPULATION MEAN UTILIZING TWO AUXILIARY VARIABLES

This article introduces a novel method for estimating the population mean by incorporating two auxiliary variables into the framework of the neutrosophic theory. We have proposed a generalized neutrosophic ratio type estimator for estimating the population mean utilizing two auxiliary information, and the efficiency of the proposed estimator was analyzed through an empirical study. The findings demonstrate that using information from two auxiliary variables improves performance compared to the Simple Random Sampling Without Replacement (SRSWOR) neutrosophic sample mean and standard neutrosophic ratio estimator using one auxiliary variable. Further, we have derived the condition where the proposed estimator performs better than the existing estimators. The process is evaluated using real life medical (neutrosophic) data, where contradictions and inconsistencies in medical information are commonly acknowledged, and the inclusion of indeterminacy is crucial. A simulation study has also been conducted to further validate and enhance the proposed approach.