Complex Pythagorean Neutrosophic Dombi Fuzzy Graph: Novel Investigations and Applications

The complex Pythagorean neutrosophic fuzzy graph (CPNFG) is a generalization of the Pythagorean neutrosophic fuzzy graph (PNFG), which extends the degree range from [0, 1] to a unit disc in the complex plane. To create a more efficient tool in uncertain conditions, this paper introduces and investigates the concept of a complex Pythagorean Dombi fuzzy graph (CPNDFG) in comparison to a more generalized Pythagorean neutrosophic Dombi fuzzy graph (PNDFG). Dombi operators (D-Operators) play an important role in converting data into a single value for effective decision-making. To investigate further relationships among CPNDFGs, the concepts of complement, self-complement, isomorphism, weak isomorphism (W-isomorphism), and co-weak isomorphism (CoW-isomorphism) are introduced and investigated. Furthermore, the concepts of regular CPNDFG, edge regular CPNDFG, and totally edge regular CPNDFG, as well as their applications in decision-making problems, are explored.