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

B. Sathiyapriya; Dr. V. Pankajam

Authors

B. Sathiyapriya Research Scholar, Department of Mathematics, Sri G.V.G Visalakshi College for Women, Udumalpet, Tamilnadu, India,
Dr. V. Pankajam Assistant Professor, Department of Mathematics, Sri G.V.G Visalakshi College for Women, Udumalpet, Tamilnadu, India,

Keywords:

Linguistic set, Pythagorean set, soft set, hypersoft set, Aggregate operators, multi criteria decision-making (MCDM).

Abstract

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.

DOI: 10.5281/zenodo.15635439