From rough categories to rough groupoids

Beydaği M. M., ÖZCAN A. F., İÇEN İ.

Turkish Journal of Mathematics, cilt.49, sa.6, ss.808-821, 2025 (SCI-Expanded, Scopus, TRDizin) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 6
  • Basım Tarihi: 2025
  • Doi Numarası: 10.55730/1300-0098.3626
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.808-821
  • Anahtar Kelimeler: 03E99, 18A05, 20L05, category theory, groupoids, rough category, rough group, rough groupoids, Rough set
  • İnönü Üniversitesi Adresli: Evet

Özet

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.