A study on bipolar intuitionistic fuzzy soft graphs and its application

Abstract

The concept of bipolar intuitionistic fuzzy soft sets and graph structure are combined, which is a new concept bipolar intuitionistic fuzzy (BIF) soft graph (SG). In this article, we introduce the notion of a BIF SG and give the concept of regularity on this graph. The concepts of regular, totally regular, perfectly regular, edge-regular, totally edge-regular and perfectly edge-regular BIF graphs are proposed in a soft environment with examples. Also, the concept of perfectly irregular and edge-irregular BIF SGs is introduced and explored a few features. Some related properties of regularity on this graph are investigated. Finally, a real-life application of this graph on a social group has been given to find out the most influenced person.