A Dynamic Survey of Soft Set Theory and Its Extensions

• URL: http://arxiv.org/abs/2602.21268v1
• Date: Tue, 24 Feb 2026 11:58:45 GMT
• Title: A Dynamic Survey of Soft Set Theory and Its Extensions
• Authors: Takaaki Fujita, Florentin Smarandache,
• Abstract summary: Soft set theory provides a direct framework for parameterized decision modeling.<n>The theory has expanded into numerous variants including hypersoft sets, superhypersoft sets, TreeSoft sets, bipolar soft sets, and dynamic soft sets.
• Score: 2.2667044928324747
• License: http://creativecommons.org/licenses/by/4.0/
• 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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