A Dynamic Survey of Soft Set Theory and Its Extensions
This is an incremental work that organizes existing knowledge for researchers in soft set theory and related fields.
The paper provides a survey of soft set theory and its extensions, covering core definitions and current developments in areas like topology and matroid theory.
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.