On total uniform fuzzy soft graphs

Article type: Research Article

Authors: Rashid, Muhammad Aamer^{; *} | Ahmad, Sarfraz | Siddiqui, Muhammad Kamran

Affiliations: Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan

Correspondence: [*] Corresponding author. Muhammad Aamer Rashid, Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan. E-mail: aamerrasheed7869@gmail.com.

Abstract: In this paper, we introduce the concepts of total uniform vertex fuzzy soft graphs and total uniform edge fuzzy soft graphs. In the view of this concept, we study the degree of a vertex, the total degree of a vertex and the complement fuzzy soft graphs. Also, we prove our main results about regular and totally regular fuzzy soft graphs, and the conditions under which the complement of regular fuzzy soft graph becomes regular as well as totally regular fuzzy soft graphs. We also describe applications of fuzzy soft graphs in telecommunication network.

Keywords: Fuzzy soft graph, regular fuzzy soft graph, totally regular fuzzy soft graph, degree of a vertex, total degree of a vertex, complement fuzzy soft graph

DOI: 10.3233/JIFS-191058

Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 1, pp. 263-275, 2020