Soft set theory has been developed as an effective mathematical tool for handling uncertainty through parameterization, leading to more practical solutions to complex problems. In parallel, the theory of covering spaces and their algebraic interpretation via groupoids has played a fundamental role in algebraic topology. Previous studies have established important categorical equivalences between coverings of spaces, coverings of groupoids, and groupoid actions on a set. In this paper, these ideas are extended to the framework of soft set theory. We introduce the notion of soft covering groupoids and define the category
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AIMS Mathematics 2026, 11(4): 11372-11386
Published: 22 April 2026
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