The Study on Plithogenic Fuzzy Sets & its Properties

Abstract

Numerous mathematical tools, including Crisp Set (CS), Fuzzy Set (FS), Intuitionistic Fuzzy Sets (IFS) and Neutrosophic Sets (NS), are available to measure the degree of accuracy. Moreover, Plithogenic Sets(PS) is a generalization of these four sets. Plithogenic sets have become an effective tool for handling vagueness and imprecision in various fields, including decision-making. This research aims to investigate the novel properties of Plithogenic Fuzzy Sets, focusing on the extension of Plithogenic Set operations and their implications in real-world problems. The results provide a theoretical basis for enhanced Plithogenic Fuzzy Systems and contribute to a deep understanding of Plithogenic Fuzzy Sets.