Research Article
BibTex RIS Cite

Fuzzy soft cycles in Fuzzy soft graphs

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

Shashikala S , Anil P N

https://izlik.org/JA92FD37TC

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.

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

Shashikala S , Anil P N

https://izlik.org/JA92FD37TC

Abstract

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.
There are 11 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Shashikala S

Anil P N

Publication Date December 15, 2019
IZ https://izlik.org/JA92FD37TC
Published in Issue Year 2019 Volume: 8 Issue: 1

Cite

APA S, S., & P N, A. (2019). Fuzzy soft cycles in Fuzzy soft graphs. Journal of New Results in Science, 8(1), 26-35. https://izlik.org/JA92FD37TC
AMA 1.S S, P N A. Fuzzy soft cycles in Fuzzy soft graphs. JNRS. 2019;8(1):26-35. https://izlik.org/JA92FD37TC
Chicago S, Shashikala, and Anil P N. 2019. “Fuzzy Soft Cycles in Fuzzy Soft Graphs”. Journal of New Results in Science 8 (1): 26-35. https://izlik.org/JA92FD37TC.
EndNote S S, P N A (December 1, 2019) Fuzzy soft cycles in Fuzzy soft graphs. Journal of New Results in Science 8 1 26–35.
IEEE [1]S. S and A. P N, “Fuzzy soft cycles in Fuzzy soft graphs”, JNRS, vol. 8, no. 1, pp. 26–35, Dec. 2019, [Online]. Available: https://izlik.org/JA92FD37TC
ISNAD S, Shashikala - P N, Anil. “Fuzzy Soft Cycles in Fuzzy Soft Graphs”. Journal of New Results in Science 8/1 (December 1, 2019): 26-35. https://izlik.org/JA92FD37TC.
JAMA 1.S S, P N A. Fuzzy soft cycles in Fuzzy soft graphs. JNRS. 2019;8:26–35.
MLA S, Shashikala, and Anil P N. “Fuzzy Soft Cycles in Fuzzy Soft Graphs”. Journal of New Results in Science, vol. 8, no. 1, Dec. 2019, pp. 26-35, https://izlik.org/JA92FD37TC.
Vancouver 1.Shashikala S, Anil P N. Fuzzy soft cycles in Fuzzy soft graphs. JNRS [Internet]. 2019 Dec. 1;8(1):26-35. Available from: https://izlik.org/JA92FD37TC

 

TR Dizin 31688
 		EBSCO30456
 


 

Electronic Journals Library   30356
 		DOAJ   30355                                                        WorldCat  3035730355
Scilit 30360SAO/NASA Astrophysics Data System (ADS)SOBİAD 30359


29388 JNRS is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).