An Introduction to Advanced Soft Set Variants: SuperHyperSoft Sets, IndetermSuperHyperSoft Sets, IndetermTreeSoft Sets, BiHyperSoft sets, GraphicSoft sets, and Beyond

This paper focuses on the study of Soft Sets, a concept that has led to the development of various extensions, including Double-Framed Soft Sets [5, 6, 10, 21], Hypersoft Sets [1], SuperHyperSoft Sets [36], ForestSoft Sets, TreeSoft Sets [3], IndetermSoft Sets [35], and IndetermHyperSoft Sets [35]. These extensions have been actively explored in recent research. Smarandache [https://fs.unm.edu/TSS/ ] introduced six new types of Soft Sets, such as: the HyperSoft Set (2018), IndetermSoft Set (2022), IndetermHyperSoft Set (2022), SuperHyperSoft Set, TreeSoft Set (2022) and ForestSoft Set (2024). In this paper, we review several advanced soft set concepts, including IndetermSuperHyperSoft Sets, IndetermForestSoft Sets, IndetermTreeSoft Sets, and other related structures. We hope that this work will inspire more researchers to explore Soft Sets and uncertainty modeling, further advancing studies in this field.