Potential Pythagorean fuzzy soft set: A novel approach for medical diagnosis techniques

نویسندگان

1 Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida, Uttar Pradesh, India.

2 Lungtenphu MSS, Thimphu, Bhutan.

doi
10.22105/jfea.2025.460302.1487
چکیده

Pythagorean Fuzzy Soft Sets (PFSSs) combine both the characteristics of Pythagorean Fuzzy Sets (PFSs) and Soft Sets (SSs). PFSS deals with the Membership (MS) and Non-Membership (NMS) degrees typical of PFSs, while also embodying the flexible and ambiguous features associated with SSs. Researchers have typically focused on MS, NMS degrees, and the associated parameters, often overlooking the potential external factors that might affect the decisions. These potential factors play an important part in shaping the outcomes of Decision-Making (DM) processes. By neglecting these elements, traditional approaches may fail to capture the full complexity and dynamics of real-world scenarios, resulting in decisions that may not fully align with the underlying context. This article introduces the concept of PPFSS, which considers external potential factors that may influence decision-making processes. The definition of PPFSS has been stated, along with some relatable operations and certain properties. The paper outlines the definition of PPFS along with several related operations and properties. Additionally, it explores the application of Potential Pythagorean Fuzzy Soft Set (PPFSS) in Medical Diagnosis (MD) and proposes a corresponding algorithm. The algorithm is demonstrated through an example, followed by a comparison table of the proposed algorithm with an existing model. The approach suggested in this article can also be used in other real-life DM scenarios.