SOFT R- MORPHISM OF INTUITIONISTIC FUZZY SOFT HYPERGRAPHS

Abstract

An Intuitionistic Fuzzy Soft Set (IFSS) is a fuzzy soft set extension that deals with ambiguous information corresponding to their various parameters. The IFSS serves as a more efficient tool for dealing with uncertain data than a fuzzy soft set. Hypergraphs are used to represent almost any complex situation that involves objects and their relationships. The concept of IFSS is applied to hypergraphs, and the concept of Intuitionistic Fuzzy Soft Hypergraphs is presented (IFSHGs). We defined regular, totally regular, and perfectly regular IFSHGs and illustrated them with examples. We also investigated the isomorphism of IFSHGs and their properties. The concepts of soft R - morphism of IFSHGs and linearity of IFSHG were introduced.