A STUDY ON PSEUDO REGULAR FUZZY SOFT GRAPHS
By
L. Subhalakshmi and N. R. Santhi Maheswari
PG and Research Department of Mathematics, G Venkataswamy Naidu College, Kovilpatti, Tamilnadu, India-628502 Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli,Tamil Nadu, India-627012
Email: lakshmansubha2@gmail.com, nrsmaths@yahoo.com
(Received: May 10, 2023; In format: March 13, 2024; Revised: November 28, 2024; Accepted: December 23, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54227
Abstract
In this article, we define the pseudo degree and pseudo edge degree in the FSG. We discuss the pseudo-regularity of fuzzy soft graphs and some of its properties based on the membership values of its subgraphs. FSG and its subgraphs, if fuzzy cycles of any length, then the result we obtain based on the membership values of edges and degrees is cleary explained and proved with examples. The concept is applied to pseudo edge regular FSGs. Results based on the crisp graph of the given FSG is also observed.
2020 Mathematical Sciences Classification: 05C12, 03E72, 05C72.
Keywords: pseudo regular, totally pseudo regular, pseudo edge regular, totally pseudo edge regular, fuzzy soft graphs, FSG.