Introduction to Possibility Plithogenic Soft Sets

Abstract

Plithogenic sets are versatile in nature, and they are widely applied in decision making. However, the generalization of Plithogenic sets is essential to make the process of deriving optimal solutions more comprehensive. Hence, this paper introduces the concept of Possibility Plithogenic Soft Sets (PPSS) with the aim of developing a generalized form of Plithogenic soft sets. The types of PPSS,union and intersection operations, and similarity measures with possibility degrees are discussed. A practical application of Possibility Plithogenic Soft Sets is also presented in this research work to illustrate the advantages of PPSS in constructing solutions to decision-making problems.