Pythagorean Neutrosophic Dombi Fuzzy Graphs with an Application to MCDM

Abstract

Pythagorean Neutrosophic fuzzy graph, an extension of Pythagorean and Neutrosophic graph, is more efficient in representing relationship between various objects where the relation between the objects is uncertain, while the Dombi operators with adaptable operational parameter is very useful by taking distinct values. The Pythagorean Neutrosophic Dombi fuzzy graphs (PNDFG) is a novel concept proposed in this research paper by integrating the concepts Pythagorean Neutrosophic fuzzy graph and Dombi operator. Various basic graphical ideas using Dombi operator have been introduced for Pythagorean Neutrosophic fuzzy graphs. The main important part is the MCDM model which is proposed for the developed PNDFG and demonstrated
with an illustrative example for choosing the best alternative.