Determination of medical emergency via new intuitionistic fuzzy correlation measures based on Spearman's correlation coefficient

Paul Augustine Ejegwa; Nasreen Kausar; John Abah Agba; Francis Ugwuh; Emre Özbilge; Ebru Ozbilge; Paul Augustine Ejegwa; Nasreen Kausar; John Abah Agba; Francis Ugwuh; Emre Özbilge; Ebru Ozbilge

doi:10.3934/math.2024755

AIMS Mathematics

2024, Volume 9, Issue 6: 15639-15670. doi: 10.3934/math.2024755

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Research article

Determination of medical emergency via new intuitionistic fuzzy correlation measures based on Spearman's correlation coefficient

1.
Department of Mathematics, Joseph Sarwuan Tarka University, Makurdi, Nigeria
2.
Department of Mathematics and Computer Science, Benue State University, Makurdi, Nigeria
3.
Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, Esenler, 34220, Istanbul, Türkiye
4.
Department of Mathematics, University of Calabar, Calabar, Nigeria
5.
National Health Insurance Scheme, Federal Medical Centre, Makurdi, Nigeria
6.
Department of Computer Engineering, Cyprus International University, Nicosia, 99258, North Cyprus, Turkey
7.
College of Business Administration, American University of the Middle East, 54200, Egaila, Kuwait

Received: 05 March 2024 Revised: 08 April 2024 Accepted: 15 April 2024 Published: 30 April 2024
MSC : 03E72, 20N20, 47S40

Uncertainty in medical diagnosis is the main challenge in medical emergencies (MEs) experienced by triage nurses and physicians in the emergency department (ED). The intuitionistic fuzzy correlation coefficient (IFCC) approach is used to analyze and interpret the relationship between variables in an uncertain environment. Assorted methods that involve applying a correlation coefficient under intuitionistic fuzzy sets (IFSs) were constructed based on Pearson's correlation model with various drawbacks. In this work, we construct two new intuitionistic fuzzy correlation measures (IFCMs) based on Spearman's correlation model. It is demonstrated that the Spearman-based IFCMs are appropriate for measuring correlation coefficients without any drawbacks. In addition, we show that the Spearman-based IFCMs overcome all the shortcomings of the associated IFCC methods. Equally, the Spearman-based IFCMs satisfy the maxims of the correlation coefficient that have been delineated in the classical case of correlation coefficient. Due to the challenges that uncertainty in medical diagnosis pose to MEs and the proficiency of the IFCC approach, we discuss the application of the constructed IFCMs in a triage process for an effective medical diagnosis during an ME. The medical data for the triage process are obtained via a knowledge-based approach. Finally, comparative analyses are carried out to ascertain the validity and authenticity of the developed Spearman-based IFCMs relative to other IFCC approaches.
- triage,
- medical emergency,
- medical diagnosis,
- intuitionistic fuzzy sets,
- emergency department,
- correlation coefficient,
- decision-making
Citation: Paul Augustine Ejegwa, Nasreen Kausar, John Abah Agba, Francis Ugwuh, Emre Özbilge, Ebru Ozbilge. Determination of medical emergency via new intuitionistic fuzzy correlation measures based on Spearman's correlation coefficient[J]. AIMS Mathematics, 2024, 9(6): 15639-15670. doi: 10.3934/math.2024755

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Abstract

Uncertainty in medical diagnosis is the main challenge in medical emergencies (MEs) experienced by triage nurses and physicians in the emergency department (ED). The intuitionistic fuzzy correlation coefficient (IFCC) approach is used to analyze and interpret the relationship between variables in an uncertain environment. Assorted methods that involve applying a correlation coefficient under intuitionistic fuzzy sets (IFSs) were constructed based on Pearson's correlation model with various drawbacks. In this work, we construct two new intuitionistic fuzzy correlation measures (IFCMs) based on Spearman's correlation model. It is demonstrated that the Spearman-based IFCMs are appropriate for measuring correlation coefficients without any drawbacks. In addition, we show that the Spearman-based IFCMs overcome all the shortcomings of the associated IFCC methods. Equally, the Spearman-based IFCMs satisfy the maxims of the correlation coefficient that have been delineated in the classical case of correlation coefficient. Due to the challenges that uncertainty in medical diagnosis pose to MEs and the proficiency of the IFCC approach, we discuss the application of the constructed IFCMs in a triage process for an effective medical diagnosis during an ME. The medical data for the triage process are obtained via a knowledge-based approach. Finally, comparative analyses are carried out to ascertain the validity and authenticity of the developed Spearman-based IFCMs relative to other IFCC approaches.

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