International Journal of Fuzzy Mathematical Archive
Open Access
  • Year: 2017
  • Volume: 14
  • Issue: 1

Equitable Regular Total Semi-μ Strong (Weak) Edge Domination in Intuitionistic Fuzzy Graph

  • Author:
  • P.J. Jayalakshmi1, C.V.R. Harinarayanan2, R. Muthuraj3
  • Total Page Count: 10
  • Page Number: 81 to 90

1Department of Mathematics, Indraganesan College of Engineering and Technology, Trichy-620 001, Tamilnadu, India. E-mail: saijayalakshmi1977@gmail.com

2Department of Mathematics, Government Arts College, Paramakudi-637 001, Tamilnadu, India. E-mail: CVRHNS@yahoo.com

3PG & Research Department of Mathematics, H.H. The Rajah's College, Pudukkottai-622 001, Tamilnadu, India. E-mail: rmr1973@yahoo.co.in

AMS Mathematics Subject Classification (2010): 03E72, 05C69, 05C72, 05C76

Abstract

In this paper, the new kind of parameter Regular total semi-μ strong (weak) edge domination number in an intuitionistic fuzzy graph is defined and established the parametric conditions. Another new kind of parameter an equitable regular total semi-μ strong (weak) edge domination number is defined and established the parametric conditions. The properties of Regular total semi-μ strong (weak) edge domination number and an equitable regular total semi-μ strong (weak) edge domination number domination number are discussed.

Keywords

Dominating set, total semi-μ strong (weak) edge domination set, Regular total semi-μ strong (weak) edge domination set, equitable regular total semi-μ strong (weak) edge domination set, equitable regular total semi-μ strong (weak) edge domination number