| Title of paper:
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Edge regular properties of truncations of intuitionistic fuzzy graphs
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| Author(s):
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| A. Nagoor Gani
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| PG & Research Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli – 620020, India
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| ganijmc@yahoo.co.in
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| H. Sheik Mujibur Rahman
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| PG & Research Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli – 620020, India
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| mujeebmaths@gmail.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 1, pages 141–150
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| DOI:
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https://doi.org/10.7546/nifs.2018.24.1.141-150
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| Download:
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 PDF (244 Kb Kb, Info)
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| Abstract:
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In this paper, the adjacency sequence of intuitionistic fuzzy graph is defined. Also the degree of an edge in truncations of intuitionistic fuzzy graphs are obtained and edge regular properties of truncations of intuitionistic fuzzy graphs are discussed.
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| Keywords:
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Adjacency sequence, Edge regular intuitionistic fuzzy graph, Truncation of intuitionistic fuzzy graph, Upper and lower truncations of intuitionistic fuzzy graph
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| AMS Classification:
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03E72, 03F55.
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| References:
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- Atanassov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Springer-Physica Verlag, Heidelberg.
- Guo-jun, W. & He, Y.-Y, (2000) Intuitionistic Fuzzy Sets and L-Fuzzy Sets, Fuzzy Sets and Systems, 110(2), 271–274.
- Karunambigai, M. G., Palanivel, K., & Sivasankar, S., (2015) Edge regular intuitionistic fuzzy graph, Advances in Fuzzy Sets and Systems, 20(1), 25–46.
- Karunambigai, M. G., Sivasankar, S. & Palanivel, K. (2015) Some properties of regular intuitionistic fuzzy graph, International Journal of Mathematics and Computation, 26(4), 138–146.
- Muhammad, A., & Parvathi, R. (2012) Properties of intuitionistic fuzzy line graphs, Notes on Intuitionistic Fuzzy Sets, 18(3), 52–60.
- Muhammad, A. & Alshehri, N. O. (2014) The Intuitionistic Fuzzy Cycle Intuitionistic Fuzzy Trees, The Scientific World Journal, Volume 2014, Article ID 305836, 11 pages.
- Nagoor Gani, A., & Sheik Mujibur Rahman, H. (2017) Truncations on Special Intuitionistic Fuzzy Graphs, Accepted in International Journal of Pure and Applied Mathematics, Bulgaria.
- Parvathi, R., Karunambigai, M. G., & Atanassov, K. (2009) Operations on intuitionistic fuzzy graphs, Proc. of IEEE International Conference on Fuzzy Systems ‘2009, 1396–1401.
- Radha, K., & Kumaravel, N. (2016) The Edge Degree and the Edge Regular Properties of Truncations of Fuzzy Graphs, Bulletin of Mathematics and Statistics Research, 4(3), 7–16.
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