Operations on Single-Valued Neutrosophic Graphs

The concept of neutrosophic sets can be utilized as a mathematical tool to deal with imprecise and unspecified information. In this paper, we apply the concept of single-valued neutrosophic sets to graphs. We introduce the notion of single-valued neutrosophic graphs, and present some fundamental operations on single-valued neutrosophic graphs. We explore some interesting properties of single-valued neutrosophic graphs by level graphs. We highlight some flaws in the definitions of Broumi et al. [10] and Shah-Hussain [18]. We also present an application of single-valued neutrosophic graphs in social network.

[1]  Rajshekhar Sunderraman,et al.  Single Valued Neutrosophic Sets , 2010 .

[2]  F. Smarandache,et al.  SINGLE VALUED NEUTROSOPHIC GRAPHS , 2016 .

[3]  Muhammad Akram,et al.  Neutrosophic soft graphs with application , 2017, J. Intell. Fuzzy Syst..

[4]  I. Turksen Interval valued fuzzy sets based on normal forms , 1986 .

[5]  Wieslaw A. Dudek,et al.  Operations on level graphs of bipolar fuzzy graphs , 2016 .

[6]  Muhammad Akram,et al.  Single-Valued Neutrosophic Hypergraphs , 2018 .

[7]  Jianming Zhan,et al.  Reviews on decision making methods based on (fuzzy) soft sets and rough soft sets , 2015, J. Intell. Fuzzy Syst..

[8]  Muhammad Akram Certain Characterization of m-Polar Fuzzy Graphs by Level Graphs , 2016 .

[9]  Jun Ye,et al.  A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets , 2014, J. Intell. Fuzzy Syst..

[10]  Asim Hussain,et al.  Neutrosophic Soft Graphs , 2016 .

[11]  Muhammad Akram,et al.  Bipolar fuzzy graphs , 2011, Inf. Sci..

[12]  F. Smarandache A Unifying Field in Logics: Neutrosophic Logic. , 1999 .

[13]  Tina Anggitta Novia,et al.  Complement of a Fuzzy Graph , 2009 .

[14]  Krassimir T. Atanassov,et al.  Operations on intuitionistic fuzzy graphs , 2009, 2009 IEEE International Conference on Fuzzy Systems.

[15]  Muhammad Akram,et al.  Interval-valued fuzzy graphs , 2012, Comput. Math. Appl..

[16]  Jianming Zhan,et al.  Fuzzy parameterized fuzzy soft sets and decision making , 2016, Int. J. Mach. Learn. Cybern..

[17]  Muhammad Akram,et al.  Representation of Graphs Using Intuitionistic Neutrosophic Soft Sets , 2017 .

[18]  Xiuwu Liao,et al.  On single valued neutrosophic relations , 2015, J. Intell. Fuzzy Syst..