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

Authors

  • Takaaki Fujita Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan.
  • Florentin Smarandache University of New Mexico, Gallup Campus, NM 87301, USA.

Keywords:

Soft Set, Hypersoft set, Superhypersoft set, IndetermSoft Set, Treesoft set

Abstract

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

 

DOI: 10.5281/zenodo.15069512

Downloads

Download data is not yet available.

Downloads

Published

2025-05-01

How to Cite

Takaaki Fujita, & Florentin Smarandache. (2025). An Introduction to Advanced Soft Set Variants: SuperHyperSoft Sets, IndetermSuperHyperSoft Sets, IndetermTreeSoft Sets, BiHyperSoft sets, GraphicSoft sets, and Beyond. Neutrosophic Sets and Systems, 82, 817-843. https://fs.unm.edu/nss8/index.php/111/article/view/6062

Most read articles by the same author(s)

<< < 4 5 6 7 8 9 10 11 12 13 > >>