Linguistic Pythagorean Hypersoft Set with Application: Decision Making in Medical Diagnosis and Treatment

This study explores the role of Linguistic Pythagorean Hypersoft set (LPHS) in addressing the inherent uncertainty and vagueness present in medical diagnosis and treatment due to the limitations of natural language. The purpose of the study is to develop a structured decision-making framework using...

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Main Authors: Sathiyapriya Bangarusamy, Dr. V. Pankajam
Format: Article
Language:English
Published: University of New Mexico 2025-07-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/4LinguisticPythagorean.pdf
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author Sathiyapriya Bangarusamy
Dr. V. Pankajam
author_facet Sathiyapriya Bangarusamy
Dr. V. Pankajam
author_sort Sathiyapriya Bangarusamy
collection DOAJ
description This study explores the role of Linguistic Pythagorean Hypersoft set (LPHS) in addressing the inherent uncertainty and vagueness present in medical diagnosis and treatment due to the limitations of natural language. The purpose of the study is to develop a structured decision-making framework using LPHS that can model linguistic imprecision and manage complex, multidimensional medical information more effectively. By categorizing medical conditions and treatment parameters such as disease severity and treatment effectiveness into linguistic terms and assigning them Pythagorean values, the framework supports a more detailed analysis of patient data. The findings suggest that LPHS improves the accuracy and uniformity of medical decisions, “reflecting its potential to standardize diagnostic outcomes." aids in identifying more accurate diagnoses, and supports more tailored and effective treatment strategies. These outcomes have the potential to improve patient care, assist healthcare professionals in managing uncertainty, and contribute to more informed clinical and policy decisions in the medical field.
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issn 2331-6055
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publishDate 2025-07-01
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series Neutrosophic Sets and Systems
spelling doaj-art-e6295a2f41b641bfac294bb56504e2e92025-08-20T03:44:18ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-0187325210.5281/zenodo.15588284Linguistic Pythagorean Hypersoft Set with Application: Decision Making in Medical Diagnosis and TreatmentSathiyapriya Bangarusamy Dr. V. PankajamThis study explores the role of Linguistic Pythagorean Hypersoft set (LPHS) in addressing the inherent uncertainty and vagueness present in medical diagnosis and treatment due to the limitations of natural language. The purpose of the study is to develop a structured decision-making framework using LPHS that can model linguistic imprecision and manage complex, multidimensional medical information more effectively. By categorizing medical conditions and treatment parameters such as disease severity and treatment effectiveness into linguistic terms and assigning them Pythagorean values, the framework supports a more detailed analysis of patient data. The findings suggest that LPHS improves the accuracy and uniformity of medical decisions, “reflecting its potential to standardize diagnostic outcomes." aids in identifying more accurate diagnoses, and supports more tailored and effective treatment strategies. These outcomes have the potential to improve patient care, assist healthcare professionals in managing uncertainty, and contribute to more informed clinical and policy decisions in the medical field. https://fs.unm.edu/NSS/4LinguisticPythagorean.pdflinguistic setpythagorean setsoft sethypersoft setaggregate operatorsmulticriteria decision-making (mcdm)
spellingShingle Sathiyapriya Bangarusamy
Dr. V. Pankajam
Linguistic Pythagorean Hypersoft Set with Application: Decision Making in Medical Diagnosis and Treatment
Neutrosophic Sets and Systems
linguistic set
pythagorean set
soft set
hypersoft set
aggregate operators
multicriteria decision-making (mcdm)
title Linguistic Pythagorean Hypersoft Set with Application: Decision Making in Medical Diagnosis and Treatment
title_full Linguistic Pythagorean Hypersoft Set with Application: Decision Making in Medical Diagnosis and Treatment
title_fullStr Linguistic Pythagorean Hypersoft Set with Application: Decision Making in Medical Diagnosis and Treatment
title_full_unstemmed Linguistic Pythagorean Hypersoft Set with Application: Decision Making in Medical Diagnosis and Treatment
title_short Linguistic Pythagorean Hypersoft Set with Application: Decision Making in Medical Diagnosis and Treatment
title_sort linguistic pythagorean hypersoft set with application decision making in medical diagnosis and treatment
topic linguistic set
pythagorean set
soft set
hypersoft set
aggregate operators
multicriteria decision-making (mcdm)
url https://fs.unm.edu/NSS/4LinguisticPythagorean.pdf
work_keys_str_mv AT sathiyapriyabangarusamy linguisticpythagoreanhypersoftsetwithapplicationdecisionmakinginmedicaldiagnosisandtreatment
AT drvpankajam linguisticpythagoreanhypersoftsetwithapplicationdecisionmakinginmedicaldiagnosisandtreatment