Manuscript Title:

ON 𝝁 𝒏 − FUZZY GRAPHS

Author:

SALU. S, BIBIN K JOSE

DOI Number:

DOI:10.17605/OSF.IO/8QYVH

Published : 2022-07-10

About the author(s)

1. SALU. S - Senior Research Fellow (CSIR), PG & Research Department of Mathematics, SD College, Alappuzha, Kerala University, Kerala, 688 003, India.
2. BIBIN K JOSE - Associate Professor, PG & Research Department of Mathematics, SD College, Alappuzha, Kerala University, Kerala, 688 003, India.

Full Text : PDF

Abstract

To avoid some limitations of fuzzy graphs, we introduced an advanced type of fuzzy graph named “𝜇 𝑛 − fuzzy graphs (MFG)”. And we defined cut - node, Strength of connectedness, 𝜇 𝑛 −fuzzy subgraph, partial 𝜇 𝑛 −fuzzy subgraph, spanning 𝜇 𝑛 −fuzzy subgraph, 𝜇 𝑛 −fuzzy distance, 𝜇 𝑛 −fuzzy eccentricity, in 𝜇 𝑛 −fuzzy graphs and various properties and theorems of 𝜇 𝑛 −fuzzy graphs are discussed.


Keywords

Fuzzy graph, 𝜇 𝑛 − fuzzy graphs, 𝜇 𝑛 − fuzzy distance.