A groupoid approach to the study of fuzzy topological spaces
Abstract
The definition of the complement of a fuzzy subset is algebraic in nature and when it is used in the context of fuzzy topological spaces it does not share any similarity with the usual property of topological spaces that the complement of an open subset is closed. To tackle this inconsistency, we associate to any fuzzy topological space a topological space and use its fundamental groupoid equipped with the Lasso topology to give a topological characterization for the complementation of fuzzy subsets.
Fields of Study & Subjects
Fuzzy and Soft Set Theory
Rough Sets and Fuzzy Logic
Advanced Algebra and Logic
Publication details
- Journal / source
- Applied General Topology
- Volume
- 27
- Issue
- 2
- Pages
- 24510–24510
- Publication date
- 15 May 2026
- Language
- EN