Neutrosophic Rayleigh Model With Some Basic Characteristics and Engineering Applications

IEEE Access

Muhammad Gulistan¹  Zahid Khan¹  Choonkil Park²  Nasreen Kausar³ 

[1] Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra, Pakistan;Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, South Korea;Department of Mathematics, University of Agriculture, Faisalabad, Pakistan;

关键词: Neutrosophic logic;    Rayleigh model;    control chart;    neutrosophic parameters;   

DOI  :  10.1109/ACCESS.2021.3078150

来源: DOAJ

【 摘 要 】

The fundamentals of neutrosophic statistics provide a new basis for working with indeterminate data problems. In this study, the notion of the neutrosophic Rayleigh distribution $\left ({{RD}_{N} }\right)$ has been introduced. The neutrosphic extension of the classical Rayleigh model with several application areas is highlighted. The major characteristics of the proposed distribution are described in a way that suggested model can be utilized in different situations involving undetermined, vague and fuzzy data. The usage of proposed distribution notably in the domain of statistical process control $\left ({SPC }\right)$ is considered. The classical structure of $V_{SQR}$ -chart is not capable of capturing uncertainty on studied variables. The mathematical structure of the $V_{NR}$ -chart based on the proposed neutrosophic distribution has been developed. The neutrosphic parameters of the proposed $V_{NR}$ -chart with other related performance metrics such as neutrosophy run length $\left ({{ARL}_{N} }\right)$ and neutrosophy power curve $\left ({{PC}_{N} }\right)$ are established. The proposed chart’s performance in a neutrosophic environment is also evaluated to the existing model. Results from this comparative analysis reveal that the suggested $\mathrm {V}_{\mathrm {NR}}$ -chart outperforms its current equivalent in terms of neutrosophic statistical power. Finally, a charting structure of proposed design for service life of ball bearings data is considered with a view to support implementation procedure of the proposed neutrosophic design in real-world scenarios.

【 授权许可】

Unknown