Regular Interval-Valued Intuitionistic Fuzzy Graphs

Authors

  • S. N. Mishra Department of Mathematics, National Institute of Technology Durgapur, West Bengal 713209
  • A. Pal Department of Mathematics, National Institute of Technology Durgapur, West Bengal 713209

DOI:

https://doi.org/10.26713/jims.v9i3.764

Keywords:

Intuitionistic fuzzy graph(IFG), \(f\)-morphism, \((2, k)\)-regular graph

Abstract

In this paper, we introduce Regular Interval-Valued Intuitionistic Fuzzy Graphs (RIVIFG) and investigate some of their attributes. We talk about some conditions for regularity of an interval-valued intuitionistic fuzzy graph and obtain \(f\)-morphism on an interval-valued intuitionistic fuzzy graph and regular interval-valued intuitionistic fuzzy graph. \((2, k)\)-regular and totally \((2, k)\)-regular interval-valued intuitionistic fuzzy graphs are some elegant properties.

Downloads

Download data is not yet available.

References

M. Akram and W.A. Dudek, Interval-valued fuzzy graphs, Computers and Mathematics with Applications 61 (2011), 289–299.

M. Akram and B. Davvaz, Strong intuitionistic fuzzy graphs, Filomat 26 (1) (2012), 177–196.

K. Atanassov and G. Gargov, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 31 (1989), 343–349.

K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87–96.

K.T. Atanassov, Intuitionistic fuzzy sets: Theory, applications, Studies in Fuzziness and Soft Computing, Heidelberg, New York, Physica-Verl. (1999).

S.N. Mishra and A. Pal, Product of interval-valued intuitionistic fuzzy graph, Annals of Pure and Applied Mathematics 4 (2) (2013), 138–144.

A. Nagoor Gani and K. Radha, On regular fuzzy graphs, Journal of Physical Science 12 (2008), 33–40.

A. Northup, A Study of Semi-regular Graphs, Bachelors Thesis, Stetson University, 2002.

R. Parvathi and M.G. Karunambigai, Intuitionistic fuzzy graphs, Computational Intelligence, Theory and Applications (2006), pp. 139–150, doi:10.1007/3-540-34783-6_15.

A. Rosenfeld, Fuzzy graphs, Fuzzy Sets and their Applications, L.A. Zadeh, K.S. Fu and M. Shimura (eds.), Academic Press, New York (1975), pp. 77–95.

N.R. Santhi Maheswari and C. Sekar, ((r,2, r(r-1)))-regular graphs, International Journal of Mathematics and soft Computing 2 (2) (2012), 25–33.

N.R. Santhi Maheswari and C. Sekar, On (d_2) of a vertex in Product of Graphs, One-Day International Conference on Recent Trends in Discrete Mathematics and its of Applications to Science and Engineering (ICODIMA 2013), December 3, 2013.

R. Seethalakshmi and R.B. Gnanajothi, Regularity conditions on an intuitionistic fuzzy graph, Applied Mathematical Sciences 7 (105) (2013), 5225–5234.

L.A. Zadeh, The concept of a linguistic and application to approximate reasoning I, Information Sci. 8 (1975), 199–249.

Downloads

CITATION

How to Cite

Mishra, S. N., & Pal, A. (2017). Regular Interval-Valued Intuitionistic Fuzzy Graphs. Journal of Informatics and Mathematical Sciences, 9(3), 609–621. https://doi.org/10.26713/jims.v9i3.764

Issue

Vol. 9 No. 3 (2017)

Section

Research Articles

License

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.