An interval-valued Pythagorean trapezoidal fuzzy multi-criteria decision making technique for psychiatric disorder diagnosis

¹ Jadavpur University, Kolkata 700032, West Bengal, India
² Maulana Abul Kalam Azad University of Technology, West Bengal, Nadia 741249, West Bengal, India
³ Faculty of Engineering and Natural Sciences, Istanbul Okan University, Istanbul, Türkey
⁴ Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Türkey
⁵ Research Center of Applied Mathematics, Khazar University, Baku, Azerbaijan
⁶ Maulana Abul Kalam Azad University of Technology, Nadia 741249, West Bengal, India

^* Corresponding author: shubhendumandal125@gmail.com

Received: 29 September 2024
Accepted: 23 October 2025

Abstract

Despite the abundance of reports of mental disorders in medical diagnosis, few studies have employed standard techniques on representative patient groups. Psychiatric disorders are currently the most frequent cause of extended absences due to illness. Fuzzy Multi-Criteria Decision-Making (MCDM) techniques can be helpful in selecting appropriate treatments or interventions for patients with psychiatric disorders. These techniques enable decision-makers to consider multiple criteria that may have varying levels of importance or uncertainty. In this paper, interval-valued Pythagorean trapezoidal fuzzy numbers (IVPTrFN) are used to handle uncertainty or imprecision in a more complex manner. The Fuzzy Analytic Hierarchy Process (FAHP) is used to determine the symptom weight of a patient with a psychiatric disorder. Using this weight, the rank of the alternative disorder of a patient is determined by the Fuzzy Preference Ranking Organization Method for Enrichment Evaluation (FPROMETHEE) technique. Finally, sensitivity and comparative analyses are conducted to assess the reliability and consistency of the results.