Interval valued fuzzy weak bi-ideals of $\Gamma$-near-rings

Subject Areas : Fuzzy, Fuzzy logic, Fuzzy system

V. Chinnadurai ¹ (Department of Mathematics, Annamalai University, Annamalainagar-608 002, India)
K. Arulmozhi ² (Department of Mathematics, Annamalai University, Annamalainagar-608 002, India)
S. Kadalarasi ³ (Department of Mathematics, Annamalai University, Annamalainagar-608 002, India)

Received: 2017-05-11 Accepted : 2017-11-01 Published : 2017-12-01

Keywords: fuzzy weak bi-ideals, interval valued fuzzy weak bi-ideals, homomorphism and anti-homomorphism, $\Gamma$-near-rings,

Abstract :

In this paper, we introduce the concept of interval valued fuzzy weak bi-ideals of $\Gamma$-near-rings, which is a generalized concept of fuzzy weak bi-ideals of $\Gamma$- near-rings. We also characterize some properties and examples of interval valued fuzzy weak bi-ideals of $\Gamma$-near-rings.

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