A certain class of T-intuitionistic fuzzy subgroups

Gulzar M., Alghazzawi D., Mateen M. H., KAUSAR N.

IEEE Access, cilt.8, ss.163260-163268, 2020 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1109/access.2020.3020366
  • Dergi Adı: IEEE Access
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, Directory of Open Access Journals
  • Sayfa Sayıları: ss.163260-163268
  • Anahtar Kelimeler: T-intuitionistic fuzzy abelian subgroup, T-intuitionistic fuzzy cyclic subgroup, T-intuitionistic fuzzy set, T-intuitionistic fuzzy subgroup
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this study, the T-intuitionistic fuzzy normalizer and centralizer of t intuitionistic fuzzy subgroup are proposed. The T-intuitionistic fuzzy centralizer is normal subgroup of T-intuitionistic fuzzy normalizer and investigate various algebraic properties of this phenomena. We also introduce the concept of T-intuitionistic fuzzy Abelian and cyclic subgroups and prove that every T-intuitionistic fuzzy subgroup of Abelian (cyclic) group is T-intuitionistic fuzzy Abelian (cyclic) subgroup. We show that the image and pre-image of T-intuitionistic fuzzy Abelian (cyclic) subgroup are T-intuitionistic fuzzy Abelian (cyclic) subgroup under group homomorphism.