Study on ((\(r_{1}\),\(r_{2}\),),m,(\(c_{1}\),\(c_{2}\)))-Regular Intuitionistic Fuzzy Graphs

Authors

  • N. R. Santhi Maheswari Department of Mathematics, G. Venkataswamy Naidu College, Kovilpatti-628502, Tamil Nadu, India.
  • C. Sekar Extension Centre, Nagercoil-629901, Tamil Nadu, India.

DOI:

https://doi.org/10.9734/bpi/ctmcs/v8/11773D

Keywords:

Degree and total degree of a vertex in intuitionistic fuzzy graph, d_m -degree and total d_m -degree of a vertex in intuitionistic fuzzy graph, (m, (\(c_1\),\(c_2\) ) ) - intuitionistic regular fuzzy graphs, totally (m, (\(c_1\),\(c_2\) ) ) -intuitionistic regular fuzzy graphs

Abstract

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.

 

Published

2021-08-07

How to Cite

N. R. Santhi Maheswari, & C. Sekar. (2021). Study on ((\(r_{1}\),\(r_{2}\),),m,(\(c_{1}\),\(c_{2}\)))-Regular Intuitionistic Fuzzy Graphs. Current Topics on Mathematics and Computer Science Vol. 8, 10–21. https://doi.org/10.9734/bpi/ctmcs/v8/11773D

Issue

Current Topics on Mathematics and Computer Science Vol. 8

Section

Chapters