• Journal of applied mathematics & informatics
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• v.42 no.2
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• pp.283-290
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• 2024

In this article, a new operation on product fuzzy graphs (PFGs) is provide; namely β-product. We give sufficient conditions for the β-product of two PFGs to be strong and we prove if the β-product of two PFGs is complete, then one of them is strong. We also study the unbiased notion of the class of PFGs and necessary and sufficient conditions for the β-product to be unbiased are given.