Complementation and anti-complementation in intuitionistic anti-fuzzy graphs

R. Muthuraj; V. V. Vijesh; S. Sujith

doi:10.26637/MJM0704/0043

Abstract

In this paper, we define the notion of intuitionistic anti-fuzzy graphs and their special cases. We illustrate the concepts regarding properties of intuitionistic anti-fuzzy graphs with some examples. Also, we introduce the concept of complement and anti-complement of intuitionistic anti-fuzzy graphs and prove some of their properties.

Keywords:

Intuitionistic anti-fuzzy graphs, intuitionistic anti-fuzzy subgraphs, (µ,γ) -degrees of vertices, strong intuitionistic anti-fuzzy graphs, regular intuitionistic anti-fuzzy graph, complement of intuitionistic anti-fuzzy graphs, anti- complement of intuitionistic anti-fuzzy graphs

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

R. Muthuraj PG & Research Department of Mathematics, H. H. The Rajah’s College, Pudukkottai–622 001, Tamil Nadu, Affiliated to Bharathidasan University, Tiruchirappalli, India.
V. V. Vijesh Department of Mathematics, Sree Narayana Gurukulam College of Engineering, Kolenchery, Ernakulam – 682 311, Kerala, Research Scholar, PG & Research Department of Mathematics, H. H. The Rajah’s College, Pudukkottai, Affiliated to Bharathidasan University, Tiruchirappalli, Tamil Nadu, India. https://orcid.org/0009-0005-1950-1862
S. Sujith Department of Applied Science, College of Engineering, Vadakara, Calicut -673105, Kerala; Co-Guide, PG & Research Department of Mathematics, H. H. The Rajah’s College, Pudukkottai, Affiliated to Bharathidasan University, Tiruchirappalli, Tamil Nadu, India.

Pages: 883-891
Date Published: 28-12-2019
Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)

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