IEEE Access (Jan 2020)

A Certain Class of <italic>t</italic>-Intuitionistic Fuzzy Subgroups

  • Muhammad Gulzar,
  • Dilshad Alghazzawi,
  • Muhammad Haris Mateen,
  • Nasreen Kausar

DOI
https://doi.org/10.1109/access.2020.3020366
Journal volume & issue
Vol. 8
pp. 163260 – 163268

Abstract

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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.

Keywords