Turkish Journal of Mathematics
Author ORCID Identifier
MEHMET BEYDAĞI: 0000-0002-3553-1173
ABDULLAH ÖZCAN: 0000-0001-9732-8026
İLHAN İÇEN: 0000-0003-3576-0731
Abstract
In this study, we introduce the concepts of rough category and rough groupoid by combining the concepts of category theory and groupoid with rough set theory. We present some properties and examples of these concepts, which are discussed for the first time. Additionally, by defining a rough functor among the rough categories, the category of rough categories were created. Moreover, rough groupoid homomorphism, rough action groupoid, and category of the rough groupoids have been examined algebraically and introduced to the literature.
DOI
10.55730/1300-0098.3626
Keywords
Rough set, category theory, groupoids, rough group, rough category, rough groupoids
First Page
808
Last Page
821
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
BEYDAĞI, M. M, ÖZCAN, A. F, & İÇEN, İ (2025). From rough categories to rough groupoids. Turkish Journal of Mathematics 49 (6): 808-821. https://doi.org/10.55730/1300-0098.3626
