International Journal of Engineering, Science and Mathematics
  • Year: 2021
  • Volume: 10
  • Issue: 9

Characterization of intuitionistic multi-fuzzy normal subgroup

  • Author:
  • S. Balamurugan
  • Total Page Count: 20
  • Page Number: 1 to 20

Department of Mathematics, Velammal College of Engineering & Technology, Madurai-625 009, Tamilnadu, India

Online published on 15 September, 2023.

Abstract

For any intuitionistic multi-fuzzy set A = { < x, μA(x), vA(x) >: x&isin;X} of an universe set X, we study the crisp multi-set { x&isin;X: μi(x) ≥βi, ∢i} of X. In this paper, an attempt has been made to study some algebraic nature of intuitionistic multi-fuzzy normal subgroup and their properties are discussed.

Keywords

Intuitionistic fuzzy set (IFS), Intuitionistic multi-fuzzy set (IMFS), Intuitionistic multi-fuzzy subgroup (IMFSG), Intuitionistic multi-fuzzy normal subgroup (IMFNSG)