Optimal Diabetic Therapy Selection under Uncertainty: A Sinusoidal Pythagorean Fuzzy MOORA and TOPSIS Approach

Vishalakshi Kuppusamy (Department of Mathematics, Dr. Mahalingam College of Engineering and Technology, Pollachi-642003, Tamil Nadu)
Prasantha Dhandapani (Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore-641202, Tamil Nadu,)
Kalarani Murugesan (Department of Mathematics, Dr. Mahalingam College of Engineering and Technology, Pollachi-642003, Tamil Nadu)
Kavitha Arumugam (Department of Mathematics, Karpagam College of Engineering, Coimbatore-641032, Tamil Nadu)
Hasan Panigoro (Department of Mathematics, Universitas Negeri Gorontalo, Bone Bolango 96554)
Rebecca Nalule (Department of Mathematics, Busitema University, Tororo 236)

Jambura Journal of Biomathematics (JJBM)
Vol. 7 No. 2: June 2026

Sinusoidal waves are fundamental to the analysis and synthesis of signals in engineering, physics, and applied sciences. Their periodic nature and mathematical simplicity make them essential in modelling oscillations, communication signals, and even artificial intelligence systems where signal patterns matter. In this paper, we introduce a new class of sinusoidal Pythagorean fuzzy set. We define a sinusoidal Pythagorean fuzzy average aggregation operator and discuss its properties. This operator is then applied in decision-making problems using sinusoidal Pythagorean fuzzy CRITIC method, sinusoidal Pythagorean fuzzy MOORA method, and sinusoidal Pythagorean fuzzy TOPSIS method for optimal diabetic therapy selection under uncertain clinical judgements.