Fuzzy soft cycles in Fuzzy soft graphs

Year 2019, Volume: 8 Issue: 1, 26 - 35, 15.12.2019

Shashikala S , Anil P N

Abstract

Fuzzy soft set
theory is one among many topics which has been developed recently for dealing
with uncertainties. In this paper, decomposition of complete fuzzy soft graphs
into Hamiltonian fuzzy soft cycles is proposed and related properties are
studied. Also, some results on complement of fuzzy soft cycles are presented
with examples.

Keywords

Fuzzy soft graph, Fuzzy soft cycles and its complement

References

• Reference1 Alspach, B., 2008. The Wonderful Walecki Construction. Bulletin of the Institute of Combinatorics and its Applications, 52, 7-20.
• Reference2 Maji, P. K., Biswas, R., Roy, A. R., 2001. Fuzzy soft sets. Journal of Fuzzy Mathematics, 9(3), 589-602.
• Reference3 Molodtsov, D. A., 1999. Soft set theory – First Result. Computers and Mathematics with Applications, 37 19-31.
• Reference4 Muhammad Akram, Fariha Zafar, 2016, Fuzzy soft trees. Southeast Asian Bulletin of Mathematics, 40(2), 151-170.
• Reference5 Nagoor Gani, A., Latha, S. R., 2016. A new algorithm to find fuzzy Hamilton cycle in a fuzzy network using adjacency matrix and minimum vertex degree. Springer plus, 5, 1-10.
• Reference6 Nirmala, G., Vijaya, M., 2012. Hamiltonian fuzzy cycles on 2n+1 fuzzy graph. International Journal of Scientific and Research Publications, 2 (11), 1-6.
• Reference7 Rosenfeld, A., 1975. Fuzzy graphs, in : Zadeh, L. A., Fu, K. S., Shimura, M. (eds), Fuzzy sets and their Applications ( New York : Academic press), 77-95.
• Reference8 Roy, A. R., Maji, P. K., 2007. A fuzzy soft set theoretic approach to decision making problems. Journal of Computational and Applied Mathematics, 28(3), 412-418.
• Reference9 Shashikala, S., Anil, P. N., 2016. Connectivity in Fuzzy soft graph and its complement. IOSR Journal of Mathematics, 12(5), 95-99.
• Reference10 Sumit Mohinta, Samanta, T. K., 2015. An introduction to fuzzy soft graph. Mathematica Moravica, 19(2), 35-48.
• Reference11 Zadeh, L. A., 1965. Fuzzy sets. Information and control, 8(3), 338-353.