Acceptance Sampling in the Era of Neutrosophic Statistics: A Comprehensive Review

Abstract

In recent years, one can visualize the world is full of indeterminacy, a more precise imprecision is required.  For this a novel branch of philosophy called ‘neutrosophy’, studies the origin, nature and scope of neutralities and their interactions with different ideational spectra. Neutrosophy is the base of neutrosophic logic, a multiple value logic that generalizes the fuzzy logic, of neutrosophic set that generalizes the fuzzy set, of neutrosophic probability and statistical that generalizes the classical and impression probability and statistics respectively.  Neutrosophic set theory was first proposed in 1998 by Florentin Samrandache, oriented towards real world scientific and engineering applications.  Neutrosophic Statistics (NS) is an extension of the Classical Statistics (CS), where in the former the data may be ambiguous, vague, imprecise, 
incomplete, even unknown uses sets or range of values instead of crisp numbers.  In accordance with the development of neutrosophic sets, probability, the neutrosophic statistics could be better studied. Recent studies reflect some of the remarkable works in acceptance sampling plans, life testing experiments and medical field with their performance measures where more vagueness and imprecision situation arises.  This paper intended to cover the principles, development, in scheming and applying Neutrosophic Statistics in the acceptance sampling plans and systems with various base line distributions applicable in the manufacturing industries as per the shop floor 
situations. 

DOI: 10.5281/zenodo.22849185