Aryabhatta Journal of Mathematics & informatics
  • Year: 2019
  • Volume: 11
  • Issue: 1

On (∈ VQ)-Fuzzy Trigroup

  • Author:
  • S. Suganthi1,
  • Total Page Count: 8
  • Published Online: Jun 1, 2019
  • Page Number: 53 to 60

1Assistant Professor of Mathematics, STET Women's College, Mannargudi, Tamilnadu, India

*e-mail: mathisuganthi@gmail.com

Abstract

In this paper, we introduce the concept of fuzzy singleton to tri-group, and uses it to define (∈ vq)- fuzzy tri-group and discuss its properties. We investigate whether or not the fuzzy In this paper, we introduce the concept of fuzzy singleton to tri-group, and uses it to point of a tri-group will belong to or quasi coincident with its fuzzy set if the constituent fuzzy sets, and vice versa. We also prove that a fuzzy tri-subset µ is an (∈ vq)-fuzzy sub-tri-group of the points of the constituting subgroups both belong to or quasi coincident with their respective fuzzy tri-group G if its constituent fuzzy subsets are (∈ vq)-fuzzy subgroups of their respective subgroups among others.

Keywords

Tri-groups, fuzzy sub tri-groups, fuzzy singleton on tri-group, (∈ vq)- fuzzy subgroups, (∈ vq)- fuzzy tri-group