IJPAM: Volume 112, No. 5 (2017)

Title

STRONGLY IRREGULAR INTERVAL VALUED
FUZZY GRAPHS

Authors

S.P. Nandhini$^1$, M. Kamaraj$^2$
\(^{1}\)Department of Mathematics
The Standard Fireworks Rajarathnam College For Women
Sivakasi, Tamilnadu, INDIA
\(^{2}\)Department of Mathematics
Government Arts and Science College
Sivakasi, Tamilnadu, INDIA

Abstract

Theoretical concepts of a graphs are highly utilized by computer science applications. Especially in research areas of computer science such as data mining ,image segmentation, clustering, image capturing and networking. The interval-valued fuzzy graphs are more flexible and compatible than fuzzy graphs due to the fact that they allowed the degree of membership of a vertex to an edge to be represented by the interval values in $[0,1]$ rather than the crisp values between $0$ and $1$. In this paper,we introduced strongly irregular interval valued fuzzy graph and strongly total irregular interval valued fuzzy graph .The relation between strongly, highly and neighbourly irregular interval- valued fuzzy graphs are established. Also defined domination in irregular fuzzy graph.

History

Received: December 15, 2016
Revised: January 30, 2017
Published: March 30, 2017

AMS Classification, Key Words

AMS Subject Classification:
Key Words and Phrases: degree of fuzzy graph, regular fuzzy graph, irregular fuzzy graph, highly, neighbourly, strongly, strongly total irregular fuzzy graph, highly irregular interval valued fuzzy graph, strongly, strongly total irregular interval valued fuzzy graph and \(\Delta\)-domination

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How to Cite?

DOI: 10.12732/ijpam.v112i5.9 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 5
Pages: 75 - 85


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