SOME COMPOSITION PROPERTIES ON TOTALLY REGULAR INTUITIONISTIC FUZZY GRAPHS
DOI:
https://doi.org/10.48165/Keywords:
Total degree of a vertex, Composition, Regular IFG, Totally regular IFGAbstract
In this paper, the Composition of totally regular intuitionistic fuzzy graphs need not be a totally regular intuitionistic fuzzy graph is discussed. Also the conditions for the Composition of totally regular intuitionistic fuzzy graphs to be totally regular under some restrictions are obtained.
References
. Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Physica Verlag, New York. [2]. Chris Cornelis, Deschrijver, Glad and Kerre, Etienne E. (2004). Implication in intuitionistic fuzzy and interval valued fuzzy set theory: construction, classification, application, International Journal of Approximate Reasoning, (Science Direct) 35 (1), 55-95.
. Guo, Junwang and Ying- YuHe (2000). Intuitionistic fuzzy sets and L-fuzzy sets, Fuzzy Sets and Systems, (Science Direct), 110(2), 271-274.
. Mordeson, J.N. and Peng, C.S. (1994). Operations on fuzzy graphs, Inform. Sci., 79, 159-170. [5]. Akram, Muhammad and Wieslaw, A. Dudek (2012). Regular bipolar fuzzy graphs, Neural Computing and Applications, Springer, 21, 197-205.
. Nagoor Gani, A. and Shajitha Begum,S. (2010). Degree, order, size in intuitionistic fuzzy graphs, International Journal of Algorithms, Computing and Mathematics,3,11-16.
. Nagoor Gani, A.and Sheik Mujibur Rahman, H. (2015).Total degree of a vertex in union and join of some intuitionistic fuzzy graphs, International Journal of Fuzzy Mathematical Archive, 7(2), 233-241. [8]. Nagoor Gani, A. and Sheik Mujibur Rahman, H. (2015).Total degree of a vertex in cartesian product and composition of some intuitionistic fuzzy graphs, International Journal of Fuzzy Mathematical Archive, 9(2), 135-143.
. Parvathi, R., Karunambigai, M.G. and Atanassov, K. (2009). Operations on intuitionistic fuzzy graphs, Proceedings of IEEE International Conference on Fuzzy Systems, 1396-1401.
. Radha, K. and Vijaya, M. (2015). Totally regular property of the composition of two fuzzy graphs, International Journal of Pure and Applied Mathematical Sciences,8 (1), 87-100.
. Rosenfeld, A. (1975). Fuzzy Graphs, in: LA. Zadeh, Fu. K. S.Shimura (Editors), Fuzzy sets and their application to cognitive and decision processes, Academic Press, New York, 77-95.