Neutrosophic Rayleigh Model With Some Basic Characteristics and Engineering Applications
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 <inline-formula> <tex-math notation="LaTeX">$\left ({{RD}_{N} }\right)$ </tex-math></inline...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2021-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9425534/ |
| _version_ | 1811210524381151232 |
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| author | Zahid Khan Muhammad Gulistan Nasreen Kausar Choonkil Park |
| author_facet | Zahid Khan Muhammad Gulistan Nasreen Kausar Choonkil Park |
| author_sort | Zahid Khan |
| collection | DOAJ |
| description | 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 <inline-formula> <tex-math notation="LaTeX">$\left ({{RD}_{N} }\right)$ </tex-math></inline-formula> 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 <inline-formula> <tex-math notation="LaTeX">$\left ({SPC }\right)$ </tex-math></inline-formula> is considered. The classical structure of <inline-formula> <tex-math notation="LaTeX">$V_{SQR}$ </tex-math></inline-formula>-chart is not capable of capturing uncertainty on studied variables. The mathematical structure of the <inline-formula> <tex-math notation="LaTeX">$V_{NR}$ </tex-math></inline-formula>-chart based on the proposed neutrosophic distribution has been developed. The neutrosphic parameters of the proposed <inline-formula> <tex-math notation="LaTeX">$V_{NR}$ </tex-math></inline-formula>-chart with other related performance metrics such as neutrosophy run length <inline-formula> <tex-math notation="LaTeX">$\left ({{ARL}_{N} }\right)$ </tex-math></inline-formula> and neutrosophy power curve <inline-formula> <tex-math notation="LaTeX">$\left ({{PC}_{N} }\right)$ </tex-math></inline-formula> 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 <inline-formula> <tex-math notation="LaTeX">$\mathrm {V}_{\mathrm {NR}}$ </tex-math></inline-formula>-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. |
| first_indexed | 2024-04-12T04:56:06Z |
| format | Article |
| id | doaj.art-b3630a8422bf427b801abb797726bab4 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-12T04:56:06Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-b3630a8422bf427b801abb797726bab42022-12-22T03:47:07ZengIEEEIEEE Access2169-35362021-01-019712777128310.1109/ACCESS.2021.30781509425534Neutrosophic Rayleigh Model With Some Basic Characteristics and Engineering ApplicationsZahid Khan0https://orcid.org/0000-0002-5568-4302Muhammad Gulistan1Nasreen Kausar2https://orcid.org/0000-0002-8659-0747Choonkil Park3https://orcid.org/0000-0001-6329-8228Department of Mathematics and Statistics, Hazara University Mansehra, Mansehra, PakistanDepartment of Mathematics and Statistics, Hazara University Mansehra, Mansehra, PakistanDepartment of Mathematics, University of Agriculture, Faisalabad, PakistanDepartment of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, South KoreaThe fundamentals of neutrosophic statistics provide a new basis for working with indeterminate data problems. In this study, the notion of the neutrosophic Rayleigh distribution <inline-formula> <tex-math notation="LaTeX">$\left ({{RD}_{N} }\right)$ </tex-math></inline-formula> 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 <inline-formula> <tex-math notation="LaTeX">$\left ({SPC }\right)$ </tex-math></inline-formula> is considered. The classical structure of <inline-formula> <tex-math notation="LaTeX">$V_{SQR}$ </tex-math></inline-formula>-chart is not capable of capturing uncertainty on studied variables. The mathematical structure of the <inline-formula> <tex-math notation="LaTeX">$V_{NR}$ </tex-math></inline-formula>-chart based on the proposed neutrosophic distribution has been developed. The neutrosphic parameters of the proposed <inline-formula> <tex-math notation="LaTeX">$V_{NR}$ </tex-math></inline-formula>-chart with other related performance metrics such as neutrosophy run length <inline-formula> <tex-math notation="LaTeX">$\left ({{ARL}_{N} }\right)$ </tex-math></inline-formula> and neutrosophy power curve <inline-formula> <tex-math notation="LaTeX">$\left ({{PC}_{N} }\right)$ </tex-math></inline-formula> 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 <inline-formula> <tex-math notation="LaTeX">$\mathrm {V}_{\mathrm {NR}}$ </tex-math></inline-formula>-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.https://ieeexplore.ieee.org/document/9425534/Neutrosophic logicRayleigh modelcontrol chartneutrosophic parameters |
| spellingShingle | Zahid Khan Muhammad Gulistan Nasreen Kausar Choonkil Park Neutrosophic Rayleigh Model With Some Basic Characteristics and Engineering Applications IEEE Access Neutrosophic logic Rayleigh model control chart neutrosophic parameters |
| title | Neutrosophic Rayleigh Model With Some Basic Characteristics and Engineering Applications |
| title_full | Neutrosophic Rayleigh Model With Some Basic Characteristics and Engineering Applications |
| title_fullStr | Neutrosophic Rayleigh Model With Some Basic Characteristics and Engineering Applications |
| title_full_unstemmed | Neutrosophic Rayleigh Model With Some Basic Characteristics and Engineering Applications |
| title_short | Neutrosophic Rayleigh Model With Some Basic Characteristics and Engineering Applications |
| title_sort | neutrosophic rayleigh model with some basic characteristics and engineering applications |
| topic | Neutrosophic logic Rayleigh model control chart neutrosophic parameters |
| url | https://ieeexplore.ieee.org/document/9425534/ |
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