A certain class of T-intuitionistic fuzzy subgroups

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

IEEE Access, vol.8, pp.163260-163268, 2020 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 8
  • Publication Date: 2020
  • Doi Number: 10.1109/access.2020.3020366
  • Journal Name: IEEE Access
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, Directory of Open Access Journals
  • Page Numbers: pp.163260-163268
  • Keywords: T-intuitionistic fuzzy abelian subgroup, T-intuitionistic fuzzy cyclic subgroup, T-intuitionistic fuzzy set, T-intuitionistic fuzzy subgroup
  • Yıldız Technical University Affiliated: No

Abstract

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.