Categorical structures of soft groups

ÖZTUNÇ S., Aslan S., Dutta H.

Soft Computing, vol.25, no.4, pp.3059-3064, 2021 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 4
  • Publication Date: 2021
  • Doi Number: 10.1007/s00500-020-05362-0
  • Journal Name: Soft Computing
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Page Numbers: pp.3059-3064
  • Keywords: Soft epimorphism, Soft group category, Soft isomorphism, Soft monomorphism
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In the current paper, the category of soft groups and soft group homomorphisms is constructed and it is proved that this structure satisfies the category conditions. Also, algebraic properties of some types of soft group morphisms are obtained. Finally, an application is presented as ‘cube’ of soft groups and soft group homomorphisms.