A study on \(r\)-edge regular intuitionistic fuzzy graphs

Volume 23, Issue 4, pp 279--288 http://dx.doi.org/10.22436/jmcs.023.04.01

Publication Date: November 22, 2020 Submission Date: August 23, 2020 Revision Date: October 07, 2020 Accteptance Date: October 11, 2020

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Authors

Ahmad Al-Jarrah - Applied Science Department, Ajloun University College, Al-Balqa Applied University, Ajloun 26816, Jordan. Mourad Oqla Massa'deh - Applied Science Department, Ajloun University College, Al-Balqa Applied University, Ajloun 26816, Jordan. Abd el Karim Baareh - Applied Science Department, Ajloun University College, Al-Balqa Applied University, Ajloun 26816, Jordan. - Department of Mathematics, Science College, Taibah University, Medina, Saudi Arabia. Mohammad A. Aljarrah - Department of Mathematics, Tafila Technical University, Tafila, Jordan. Roba Mahmoud Alogla - Applied Science Department, Ajloun University College, Al-Balqa Applied University, Ajloun 26816, Jordan. Nisrein Abu-Darwish - Applied Science Department, Ajloun University College, Al-Balqa Applied University, Ajloun 2 6816, Jordan.

Abstract

For an intuitionistic fuzzy set \(S=\{<a, S_\mu(a), S_\lambda(a)>; a\in A\}\) of a universe set A, we discuss and study properties on an intuitionistic fuzzy graph like \(r\)-edge regular intuitionistic fuzzy graph and strongly regular intuitionistic fuzzy graph. In this paper, we describe variously related to these graphic's. Also, we have provided many examples to explain these concepts.

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Keywords

• Fuzzy set
• strongly edge regular
• intuitionistic fuzzy graph
• absolute degree of vertex

MSC

•  03E72
•  03F55
•  54A40

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