1Assistant Professor, Department of Mathematics, M.I.E.T Engineering College, Trichy-620 007, Tamilnadu, India
2Associate Professor, Department of Mathematics, Sri K.G.S. Arts College, Srivaikuntam-628 619, Tamilnadu, India
3Associate Professor, Department of Mathematics, Kamaraj College, Thoothukudi-628 003, Tamilnadu, India
*Corresponding Author: E-mail: subbiahkgs@gmail.com
Online published on 25 April, 2019.
In this paper, we have applied the concept of soft set theory into bipolar fuzzy soft substructures of Γ-near ring and study their properties. We have also constructed the bipolar fuzzy soft product, bipolar fuzzy soft characteristic function, bipolar fuzzy soft Γ-ideals of Γ-near ring and also the interrelations of them has been presented. Certain kind of Γ-near ring are characterized in terms of the bipolar fuzzy soft ideals of Γ-near ring. Thus, the bipolar fuzzy soft normal Γ-near ring is being defined and some characterizations of the Γ-near ring with soft normality are being given.
Soft Γ-near ring, Γ-ideal, Isomorphism, Normal Γ-ideal, Extremal, Soft set, Bipolar Fuzzy soft set
