Bulletin of Pure and Applied Sciences Section.
  • Year: 2019
  • Volume: 38E
  • Issue: 1

Fuzzy Independent Sets and Fuzzy Covering

1Associate Professor, Department of Mathematics, Jawahar Science College, Neyveli, Tamil Nadu607803, India

2Assistant Professor, Department of Mathematics, Jawahar Science College, Neyveli, Tamil Nadu607803, India

*V.T. Chandrasekaran, Associate Professor, Department of Mathematics, Jawahar Science College, Neyveli, Tamil Nadu 607803, India. E-mail: vtcvtc14@gmail.com

**E-mail: sangeethashriram2015@gmail.com

Abstract

In this paper, we define fuzzy vertex independent sets, fuzzy vertex covering, fuzzy arc independent set, fuzzy arc covering of a fuzzy graph. Some properties of maximum fuzzy independent set and minimum fuzzy covering are discussed.

Keywords

Fuzzy vertex independent set, fuzzy vertex independence number, fuzzy vertex covering, fuzzy vertex covering number, fuzzy arc independent set, fuzzy arc independence number, fuzzy arc covering, fuzzy arc covering number, saturated fuzzy vertex, M -alternating paths, M -augmenting path, 05C72