International Journal of Engineering, Science and Mathematics
  • Year: 2014
  • Volume: 3
  • Issue: 3

(ψ, χ)-Bipolar Fuzzy group and (ψ, χ)- Bi-polar Fuzzy d-ideals

  • Author:
  • R. Nagarajan, S. Subramanian
  • Total Page Count: 10
  • Page Number: 89 to 98

*Associate Professor, Department of Mathematics, J.J College of Engineering & Technology, Tiruchirappalli-09

**Associate Professor, Department of Mathematics, M.A.M school of Engineering, Tiruchirappalli-09

AMS Subject Classification (2000): 06F35, 03G25, 08A72, 20N25

Abstract

In this paper, we apply the notion of bipolar-valued fuzzy set to groups. We introduce the concept of (ψ, χ)-bipolar fuzzy groups/(fuzzy d-ideals of groups and investigate several properties. We give relations between a (ψ, χ)-bipolar fuzzy group and (ψ, χ)-bipolar fuzzy d-ideal. We provide a condition for (ψ, χ)-bipolar fuzzy groups to be a(ψ, χ)- bipolar fuzzy d-ideal. We also give characterizations of (ψ, χ)-bipolar fuzzy ideal. We consider the concept of strongest (ψ, χ)-bipolar fuzzy relations on (ψ, χ)-bipolar fuzzy d-ideals of a group and discuss some related properties.

Keywords

(ψ, χ)-bipolar fuzzy group, (ψ,χ)- bipolar fuzzy d-ideal, (α, β)- cut, strongest (ψ, χ)-bipolar fuzzy relation