Design of generalized fuzzy multiple deferred state sampling plan for attributes

Article type: Research Article

Authors: Thomas, Julia T.^{; *} | Kumar, Mahesh

Affiliations: Department of Mathematics, National Institute of Technology, Calicut, India

Correspondence: [*] Corresponding author. Julia T. Thomas. Department of Mathematics, National Institute of Technology, Calicut-673601. E-mail: [email protected].

Abstract: In industry, for the quality inspection processes, acceptance sampling plans proved to be economically viable, but the unpredictability of the plan’s characteristics made the use of conventional acceptance sampling plans less reliable. The generalized fuzzy multiple deferred state sampling plan (GFMDSSP) is suggested in this study for qualities that consider the difficulty in calculating the precise value of the percentage of defectives in a batch. The strategy is created with a minimal average sample size in mind and the performance measures have already been determined. An analysis of the current fuzzy acceptance sampling plans for characteristics is conducted, and an important conclusion is drawn regarding the effectiveness of the proposed scheme. Analysis of the impact of inspection errors on the sampling process reveals a decline in plan acceptance standards that is correlated with escalating inspection errors. Finally, some numerical examples are provided to support the findings.

Keywords: Fuzzy acceptance sampling plans, average sample number, acceptable quality level, limiting quality level, inspection errors

DOI: 10.3233/JIFS-224487

Journal: Journal of Intelligent & Fuzzy Systems, vol. 45, no. 4, pp. 6785-6796, 2023