• N.Priyanka
• N.Meenakumari

A fuzzy set in a set M is a function μ: M→[0,1]. A fuzzy set in M is called a fuzzy bi-ideal of M if (i) μ(x-y)≥min⁡{μ(x),μ(y)} for all x,y∈M. (ii) μ (xαyβz)≥min {μ(x),μ(z)} for all x,y,z∈ M and α,β∈Γ. A fuzzy bi-ideal μ of M is called c-prime if for all x,y∈M,γ∈Γ,μ(xγy)≤max⁡{μ(x),μ(y)}.An interval valued fuzzy subset μ ̃ of M is called an interval valued fuzzy bi-ideal of M if (i) μ ̃(x-y)≥〖min〗^i⁡{μ ̃(x),μ ̃(y)} for all x,y∈ M. (ii) μ ̃(xαyβz)≥〖min〗^i⁡{μ ̃(x),μ ̃(z)} for all x,y,z∈ M and α,β∈Γ. In this paper, we introduce interval valued c-prime fuzzy bi-ideals in Γ-near-rings and obtain some of their properties.

Γ-near-rings, bi-ideal, c-prime fuzzy bi-ideal, interval valued c-prime fuzzy bi-ideal.

"INTERVAL VALUED C-PRIME FUZZY BI-IDEALS OFΓ-NEAR-RINGS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.503-509, February-2019, Available :http://www.jetir.org/papers/JETIRAB06087.pdf

"INTERVAL VALUED C-PRIME FUZZY BI-IDEALS OFΓ-NEAR-RINGS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp503-509, February-2019, Available at : http://www.jetir.org/papers/JETIRAB06087.pdf