Pure Mathematics for Theoretical Computer Science
PMTCS
2995-3162
10.54216/PMTCS
https://www.americaspg.com/journals/show/3834
2023
2023
Neighborhood HyperRough Set and Neighborhood SuperHyperRough Set
Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan
Takaaki
Takaaki
Fuzzy sets,20 rough sets,14 intuitionistic fuzzy sets,3 neutrosophic sets,15 soft sets,13 hesitant fuzzy set,17 plithogenic sets,16 and other uncertainty-handling frameworks have been the focus of intensive and ongoing research. Rough set theory provides a mathematical framework for approximating subsets through lower and upper approximations defined by equivalence relations, effectively capturing uncertainty in classification and data analysis.5, 10 Building upon these foundational concepts, further generalizations such as Hyperrough Sets8 and Superhyperrough Sets have been introduced. In this paper, we investigate the concepts of Neighborhood Hyperrough Sets and Neighborhood Superhyperrough Sets. These models extend the classical Neighborhood Rough Set framework by incorporating the structural richness of Hyperrough Sets and Superhyperrough Sets.
2025
2025
34
47
10.54216/PMTCS.050104
https://www.americaspg.com/articleinfo/40/show/3834