Study on ((r1,r2),m,(c1,c2))-Regular Intuitionistic Fuzzy Graphs

In this chapter, ((r1,r2 ),m,(c1,c2 ) ) -regular intuitionistic fuzzy graph and totally ((r1,r2 ),m,(c1,c2 ) ) -regular intuitionistic fuzzy graphs are presented.. Intuitionistic fuzzy sets have been applied in a wide variety of fields including computer science, engineering, mathematics, medicine, chemistry and economics. On an intuitive fuzzy graph, the relationship((r1,r2 ),m,(c1,c2 ) ) -regularity and totally ((r1,r2 ),m,(c1,c2 ) ) -regularity is investigated. There is a necessary and sufficient condition for them to be comparable.Additionally,, ((r1,r2 ),m,(c1,c2 ) ) - regularity on various intuitionistic fuzzy graphs whose underlying crisp graphs is a cycle is investigated using some special membership functions.