An Intuitionistic Fuzzy Graph’s Signless Laplacian Energy

  • Authors

    • Obbu Ramesh
    • S. Sharief Basha
    2018-10-02
    https://doi.org/10.14419/ijet.v7i4.10.26782
  • Fuzzy graphs, Intuitionistic Fuzzy graphs, Intuitionistic fuzzy graph ‘s Energy, Laplacian energy.

  • Abstract

    We are extending concept into the Intuitionistic fuzzy graph’ Signless Laplacian energy  instead of the Signless Laplacian energy of fuzzy graph. Now we demarcated an Intuitionistic fuzzy graph’s Signless adjacency matrix and also  an Intuitionistic fuzzy graph’s Signless Laplacian energy. Here we find the Signless Laplacian energy ‘s Intuitionistic fuzzy graphs above and below   boundaries of   an with suitable examples.

     

     

     

  • References

    1. [1] Anjali N , Mathew S , Energy of a Fuzzy Graph , Annals Fuzzy Math. Inf.2013; 6: 455-465.

      [2] AtanassovK, Intutionistic fuzzy sets , Fuzzy Sets and Fuzzy Systems, 1986; 20(1): 87-96.

      [3] Atanassov.K., Intutionistic fuzzy Sets Theory and Applications, Springer-Verlag, Heidelberg, 1999.

      [4] Balakrishnan R , The Energy of a Graph , Linear algebra Appl., 2004; 387-: 287-295.

      [5] Gutman I, Zhou B, Laplacian Energy of a Graph , Linear Algebra Appl.,2006;414: 29-37.

      [6] Lee K H, First Course on Fuzzy Theory and Applications, Springer- Verlag, Berlin, 2005.

      [7] Morderson J N, Nair P S, Fuzzy Graphs and Fuzzy Hypergraphs , Springer- Verlag,2000.

      [8] Muhammad Akram,ShaistaHabib, Imran Javed, Intuitionistic Fuzzy Logic Control for Washing Machines, Indian Journal of Science and Technology,2014May;7(5):654-661.

      [9] Parvathi R, Karumbigai M G , Intutionistic Fuzzy graphs, Computational Intelligence, Theory and Applications, 139-150.

      [10] Praba B ,Chandrasekharan V M, Deepa G , Energy an Intuitionistic Fuzzy Graphs ,talian Journal of Pure and Applied Mathematics , 2014; 32:431-444.

      [11] Rosenfeld A , Fuzzy Graphs in:L.A.Zadeh, K.S.Fu and M.Shimura (Eds) Fuzzy sets and their Applications, Academic Press, New York, 1975, 77-95.

      [12] SadeghRahimiSharbaf ,FatmehFayazi , Laplacian Energy of a fuzzy Graph, Iranian Journal of Mathematical Chemistry, 2014; 5(32): 31-40.

      [13] Zadeh. L.A., Fuzzy sets , Information and Control, 1965; 8:338-353.

  • Downloads

  • How to Cite

    Ramesh, O., & Sharief Basha, S. (2018). An Intuitionistic Fuzzy Graph’s Signless Laplacian Energy. International Journal of Engineering & Technology, 7(4.10), 892-895. https://doi.org/10.14419/ijet.v7i4.10.26782

    Received date: 2019-01-30

    Accepted date: 2019-01-30

    Published date: 2018-10-02