Year: 2024
Type: article
Abstract: In this paper, we define the notion of regular power fuzzy graph (RPFG), as a combination of regular properties and power fuzzy graphs. We also define totally regular power fuzzy graph as a special case of RPFG. A comparative study between regular and totally regular power fuzzy graphs is investigated. It is also proved that any power fuzzy graph containing a pendant vertex can be neither regular nor totally regular. A necessary condition for a total power fuzzy graph to be perfectly regular is that the vertex and edge membership functions are constants.
Authors: T. Bharathi, S. Shiny Paulin, M. Jeba Sherlin
Institutions: University of Madras, Loyola College
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: diamond
OpenAlex ID: W4406172916