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Degrees in intuitionistic fuzzy graphs

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In this paper, the concept of strong degree, total strong degree of a vertex, strong size and strong order in an intuitionistic fuzzy graph (IFG) has been introduced and its properties in IFGs and complete IFGs are analysed. The vertex intuitionistic fuzzy sequence has been introduced.

Abstract

In this paper, the concept of strong degree, total strong degree of a vertex, strong size and strong order in an intuitionistic fuzzy graph (IFG) has been introduced and its properties in IFGs and complete IFGs are analysed. The vertex intuitionistic fuzzy sequence has been introduced.

참고문헌 (13)

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  3. M. G. Karunambigai, "Intuitionistic Fuzzy Graphs", Proceedings of 9th Fuzzy Days International Conference on Computational Intelligence, Advances in soft computing: Computational Intelligence,Theory and Applications, 20, pp.139~150 (2006), Springer-Verlag
  4. M. G. Karunambigai, "Constant intuitionistic fuzzy graphs", Notes of Intuitionistic Fuzzy Sets, 17(4), pp.37~47 (2011)
  5. M. G. Karunambigai, "Arcs in intuitionistic fuzzy graphs", Notes of Intuitionistic Fuzzy Sets, 18(4), pp.48~58 (2012)
  6. M. G. Karunambigai, "Strong and superstrong vertices in intuitionistic fuzzy graphs", Journal of Intelligent and Fuzzy Systems, 30, pp.671~678 (2016)
  7. O. T. Manjusha, "Connected domination in fuzzy graphs using strong arcs", Ann. Fuzzy Math. Inform, 10(6), pp.979~994 (2015)
  8. S. Mathew, "Node connectivity and arc connectivity of a fuzzy graph", Inform. Sci, 180, pp.519~531 (2010)
  9. A. Nagoorgani, "The degree of a vertex in some fuzzy graphs", International Journal of Algorithm, Computing, and Mathematics, 2(3), pp.107~116 (2009)
  10. A. Nagoorgani, "Begum, Degree, order and size in intuitionistic fuzzy graphs", International Journal of Algorithm, Computing, and Mathematics, 3(3), pp.11~16 (2010)
  11. R. Parvathi, "Some results on domination number in products of intuitionistic fuzzy graphs", Ann. Fuzzy Math. Inform, 9(3), pp.365~527 (2015)
  12. A. Shanon, "A first step to a theory of the intuitionistic fuzzy graphs", Proceedings of the First Workshop on Fuzzy Based Expert Systems, pp.59~61 (1994)
  13. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)

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