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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2019, Volume & Issue : BPAS-Maths & Stat 38E(1), JAN-JUN 2019
Page No. : 320-323, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2019.00032.8 (Received on 20.01.2019 Revised on 30.05.2019 Accepted on 02.06.2019)

FUZZY INDEPENDENT SETS AND FUZZY COVERING

V.T. Chandrasekaran1,*, R. Sangeetha2
Author’s Affiliation : 1Associate Professor, Department of Mathematics, Jawahar Science College, Neyveli, Tamil Nadu 607803, India. E-mail: [email protected] 2Assistant Professor, Department of Mathematics, Jawahar Science College, Neyveli, Tamil Nadu 607803, India. E-mail: [email protected]

Corresponding Author : V.T. Chandrasekaran, Associate Professor, Department of Mathematics, Jawahar Science College, Neyveli, Tamil Nadu 607803, India,
E-Mail:-[email protected]


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.

2010 Mathematics Subject Classification:  05C72.

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, -alternating paths, -augmenting path.
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