Abstract
This paper introduces and elucidates the concepts of homomorphism and anti-homomorphism for interval-valued neutrosophic fuzzy ideals of near-rings. Here we proved if an interval valued neutrosophic fuzzy left ideals of R′ then its inverse image is interval valued neutrosophic fuzzy left ideals of R and converse part is true if the mapping is onto homomorphism. Additionally, we establish the notion of the direct product of n-interval-valued neutrosophic fuzzy ideals within near-rings is also a interval-valued neutrosophic fuzzy ideals of near-rings. To illustrate these concepts, we provide an example showcasing the direct product of interval-valued neutrosophic fuzzy ideals of near-rings.
Recommended Citation
Muthu Kumaran, K. Lenin and Selvaraj, S.
(2024).
(R2080) Homomorphism and Anti-homomorphism of Interval Valued Neutrosophic Fuzzy Ideals of Near-Rings,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 21,
Iss.
1, Article 8.
Available at:
https://digitalcommons.pvamu.edu/aam/vol21/iss1/8