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Some Operations on Pythagorean Fuzzy Soft Graphs
R. Sivasamy, M. Mohammed Jabarulla and Bijan Davvaz
Pythagorean fuzzy soft set (PFSS), an extension of intuitionistic fuzzy soft set (IFSS), proves instrumental in managing ambiguity within numerous real-life scenarios. When applied to graph theory, these sets introduce a range of novel concepts, such as Pythagorean fuzzy soft graphs (PFSGs), complete Pythagorean fuzzy soft graphs, strong Pythagorean fuzzy soft graphs (Str-PFSGs), and the self-complement of Pythagorean fuzzy soft graphs (Self-Comp PFSGs). Our exploration involves detailing diverse construction methods and delving into their associated properties to gain a comprehensive understanding of their applicability and significance. Finally, some operations related to the above concepts are stated and proved.
Keywords: Pythagorean fuzzy soft graphs, complete pythagorean fuzzy soft graph, strong pythagorean fuzzy soft graph, self-complementary pythagorean fuzzy soft graph