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arXiv · 2602.21268

A Dynamic Survey of Soft Set Theory and Its Extensions

Takaaki Fujita·Florentin Smarandache
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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.

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Takaaki Fujita, Florentin Smarandache. 2026-02-24. A Dynamic Survey of Soft Set Theory and Its Extensions. https://arxiv.org/abs/2602.21268

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