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Some products on interval-valued Pythagorean fuzzy graph

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In this paper, the complete interval-valued Pythagorean fuzzy graphs are introduced. Direct product, strong product and semi-strong product of two interval-valued Pythagorean fuzzy graphs are defined. Also we reveal that the strong product of two complete interval-valued Pythagorean fuzzy graphs is complete. Consequently, if the direct product is strong then any one of two interval-valued Pythagorean fuzzy graphs is strong. Finally, we investigated many interesting properties on strong product and semi-strong product of two interval-valued Pythagorean fuzzy graphs.
Title: Some products on interval-valued Pythagorean fuzzy graph
Description:
In this paper, the complete interval-valued Pythagorean fuzzy graphs are introduced.
Direct product, strong product and semi-strong product of two interval-valued Pythagorean fuzzy graphs are defined.
Also we reveal that the strong product of two complete interval-valued Pythagorean fuzzy graphs is complete.
Consequently, if the direct product is strong then any one of two interval-valued Pythagorean fuzzy graphs is strong.
Finally, we investigated many interesting properties on strong product and semi-strong product of two interval-valued Pythagorean fuzzy graphs.

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