From rough categories to rough groupoids

Küçük Resim Yok

Tarih

2025

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Tubitak Scientific & Technological Research Council Turkey

Erişim Hakkı

info:eu-repo/semantics/openAccess

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.

Açıklama

Anahtar Kelimeler

Rough set, category theory, groupoids, rough group, rough category, rough groupoids

Kaynak

Turkish Journal of Mathematics

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

49

Sayı

6

Künye