Bipolar interval valued signed neutrosophic graphs
Downloads
Abstract
In this article, we combine the concept of bipolar neutrosophic set with graph theory, we introduced the bipolar
interval valued neutrosophic graphs, strong bipolar interval valued neutrosophic graphs, degree of bipolar interval
valued neutrosophic graphs and introduce the bipolar interval valued signed neutrosophic graphs and investigate
some of their properties with proofs and examples.
Keywords:
Bipolar, signed,, balanced, Interval Valued NeutrosophicMathematics Subject Classification:
Mathematics- Pages: 1086-1094
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
A.Q. Ansari, R. Biswas and S. Aggarwal, Neutrosophic classifier: An extension of fuzzy classifier, Elsevier. Applied soft computing, 13(2013), 563-573.
A.Q. Ansari, R.Biswas and S.Aggarwal Extension to fuzzy logic representation: moving towards neutrosophic logic-A new laboratory rat, fuzzy systems (FUZZY), IEEE international conference, (2013) 1-8, Doi: $10.1109 /$ fuzz-IEEE.2013.6622412.
A.Nagoor Gani and S.R latha, On irregular fuzzy graphs, Applied mathematical science, 6(11)(2012), 517-523.
F.Smarandache. Refined literal indeterminacy and the multiplication law of. $9(2015), 58-63$.
H. Wang, F. Samrandache, Y. Zhang and R. Sunderraman, Single Valued Neutrosophic Sets, Multispace and Multistructure, 4(2010), 410-413.
H.Y.Zhang, J.Q. Wang, X.H.chen, Interval neutrosophic sets and their application in multicriteria decision making problems, The scientific world journal, (2014), DOI: $10.1155 / 2014 / 645953$.
J. Ye some aggregation operators of interval neutrosophic linguistic numbers for multiple attribute decision making, Journal of intelligent & FUZZY Systems, (27)(2014), 2231-2241.
K. Atanassov. and G. gargov, interval valued intutionistic fuzzy sets, Fuzzy Sets and systems, 31(1989), 343-349.
R.Ridvan, A. Kucuk, subsethood measure for single valued neutrosophic sets, journal of intelligent & Fuzzy systems, $29(2)(2015), 525-530$.
S.Nmihra and A.Pal, product of interval valued intuitionistic fuzzy graph, Analysis of pure and applied mathamat ics, $5(1)(2013), 37-46$
Y.Hai-long, G. She, Yanhonge, L.Ziuwu, On single valued neutrosophic relations, Journal of intelligent systems, (2015), $1-12$.
W.B. Vasanthkandasamy and F.Smarandache, Fuzzy cog. nitive maps and neutrosophiccongtive maps. 2013.
W.B. Vasanthkandasamy, K. Illanthenral and florentin smarandache, Neutrosophic Graphic: A New Dimension to Graph Theory, Kindle Edition, 2015.
Nicolae Pop, Luigu Vladareanu, Ile , ana Nicoieta Popescu, Constantic Ghita, Ionel Alexandru Gal, Shuang Cang, Hongnian Yu, Vasile Bratu, Mingcong Deng, A numerical dynamic behaviour model for $3 mathrm{D}$ contact problems with friction, Computational Materials Science, $94(2014), 285-291$
W.D vasanthkandasamy and F.smarandache, Analysis of social aspect of migrant laborers living with IIIV/AIDS using FUZZY Theory and Neutrosophic Cognitive maps, xiquan, phoenix (2004).
Interval Valued Neutrosophic Graphs, Said Broumi, Mohamed Talea Assia Bakali, Florentin Smarandache.
Aydogdu, on similary and Entropy of single valued Neutrosophic Sets, Gen. Math. Notes, 29(1)(2015), 67-74.
Broumi, s., Talea, M., Bakali, A. and Smarandache, F., single Valued Neutrosophic Graphs, Journal of New Theory, $10(2016), 86-101$.
Gani, N. and Begum, S.S, Degree, Order and size in Intuitionistic Fuzzy graphs. International journal of Algorithms, computing and mathematics, 3(3)(2010).
Harary, F On the notion of balance of signed graph, Michigan Math. J., 2(2)(1953), 143-146.
Mishra S.N and Pal. A, Intuitionistic Fuzzy signed graphs. International journal of pure and applied Mathematics, $106(6)(2016), 113-122$.
Sudhakar .V.J, Mohamed Ali.A, and Vinoth. D., Interval Valued Signed Neutrosophic graphs, International journal of Mathematical Archive, 9(9)(2016), 35-43.
Sudhakar .V.J, Mohamed Ali.A, Vinoth. D. and Sathishkumr. G., Self-Centered Interval Valued Signed Neutrosophic graphs, International journal of Mathemat ical Archive, 9(9)(2016), 44-50.
Sudhakar .V.J, Navaneethakumar. V and Jayaprakasam.S., Interval Valued Regular Neutrosophic graphs, International journal of Science and Humanities, 5(2)(2019), $76-85$.
Sudhakar.V.J, Navaneethakumar. V and Yuvaraj., SelfCentered Interval Valued Neutrosophic graphs, International journal of Science and Humanities, 5(2)(2019), $86-102$..
Similar Articles
- G. Upender Reddy, Addala Ajay Babu, Ch. Shashi Kumar, T. Siva Nageswara Rao, Bipolar sum distance in neutrosophic graphs , Malaya Journal of Matematik: Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.