English

A Dynamic Survey of Soft Set Theory and Its Extensions

Artificial Intelligence 2026-03-17 v1 Combinatorics

Abstract

Soft set theory provides a direct framework for parameterized decision modeling by assigning to each attribute (parameter) a subset of a given universe, thereby representing uncertainty in a structured way [1, 2]. Over the past decades, the theory has expanded into numerous variants-including hypersoft sets, superhypersoft sets, TreeSoft sets, bipolar soft sets, and dynamic soft sets-and has been connected to diverse areas such as topology and matroid theory. In this book, we present a survey-style overview of soft sets and their major extensions, highlighting core definitions, representative constructions, and key directions of current development.

Keywords

Cite

@article{arxiv.2602.21268,
  title  = {A Dynamic Survey of Soft Set Theory and Its Extensions},
  author = {Takaaki Fujita and Florentin Smarandache},
  journal= {arXiv preprint arXiv:2602.21268},
  year   = {2026}
}

Comments

Book.143 pages. Publisher: Neutrosophic Science International Association (NSIA) Publishing House. ISBN: 978-1-59973-859-8