Distinct Concept of Edge Regular Intuitionistic Fuzzy M-Polargraphs
DOI:
https://doi.org/10.15613/sijrs/2018/v5i1/188668Keywords:
Edge Regular, Partially Edge Regular and Full Edge Regular Intuitionistic Fuzzy M-Polar Graph, Regular, Totally Edge Regular.Abstract
In this research paper, distinct concept of edge regular intuitionistic fuzzy m-polar graph are introduced. In that we describe some properties of edge regular, totally edge regular, regular, partially edge regular, full edge regular intuitionistic fuzzy m-polar graph respectively. We discuss the relationship between degree of a vertex and degree of an edge in intuitionistic fuzzy m-polar graph. Also dispute an application of intuitionistic fuzzy m-polar graph in a real life problem.
References
Zadeh LA. Fuzzy Sets, Information and Control. 1965; 8:338-53. https://doi.org/10.1016/S0019-9958(65)90241-X
Zhang WR. Bipolar Fuzzy Sets and Relations: a computational frame work for cognitive modeling and multiagent decision analysis. Proceedings of the IEEE Conference. 1994; p. 305-9.
Chen J, Li SG, Ma S and Xang X. m-polar fuzzy sets. The Scientific World Journal. 2014(2014):416530.
Atanassov KT. Intuitionistic Fuzzy Sets: Theory and Applications, Studies in Fuzziness and Soft Computing. Physica-Verlag, Heidelberg, New York. 1999.
Sankar K and Ezhilmaran D. Bipolar Intuitionistic Fuzzy Graph with Applications. International Journal of Research and Scientific Innovation (IJRSI). 2016 December; III(XII).
Akram M, Waseem N and Dudek WA. Certain types of edge m-polar fuzzy graph. Iranian Journal of Fuzzy System. 2017; 14(4).
Sankar K and Ezhilmaran D. On m-polar intuitionistic fuzzy graphs. International Journal of Pune and Applied Mathematics. 2018; 119(14):892-8.
Karunanbigai MG, Palanivel K and Sivasankar S. Edge Regular Intuitionistic Fuzzzy Graph, 2015 Puspa Publishing House, Allahabad India. 2015; 20(1). ISSN:0973-421X.
Karunambigai MG and Parvathi R. Intuitionistic Fuzzy Graphs. Journal of Computational Intelligence: Theory and Applications. 2006; 20:139-50.
Akram M, Dudek WA. Regular Intuitionistic Fuzzy Graphs. Neural Computing and Apllication. 1007-S00521-0772-6.
Karunambigai MG, Sivasankar S and Palanivel K. Some properties of Regular Intuitionistic Fuzzy graph. International Journal of Mathematics and Computaion. 2015; 26(4).
Akram M. Bipolar fuzzy graphs. Information Sciences. 2011; 181:5548-64. https://doi.org/10.1016/j.ins.2011.07.037
Naggor Gani A and Shajitha Begum. Degree, Order and Size in Intuitionistic Fuzzy Graphs. International Journal of Algorithm, Computing and Mathematics. 2010; 3(3).