450
Views
80
CrossRef citations to date
0
Altmetric
Articles

Cubic fuzzy Einstein aggregation operators and its application to decision-making

, , &
Pages 2385-2397 | Received 11 Jun 2017, Accepted 28 Jun 2018, Published online: 01 Aug 2018

References

  • Amin, F., Fahmi, A., Abdullah, S., Ali, A., Ahmed, R., & Ghani, F. (2018). Triangular cubic linguistic hesitant fuzzy aggregation operators and their application in group decision making. Journal of Intelligent and Fuzzy System, 34, 2401–2416. doi: 10.3233/JIFS-171567
  • Atanassov, K. T. (1986). Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems, 20(1), 87–96. doi: 10.1016/S0165-0114(86)80034-3
  • Atanassov, K. T. (1994). New operations defined over the intuitionistic fuzzy sets. Fuzzy Sets and Systems, 61(2), 137–142. doi: 10.1016/0165-0114(94)90229-1
  • Bustince, H., & Burillo, P. (1996). Structures on intuitionistic fuzzy relations. Fuzzy Sets and Systems, 78(3), 293–303. doi: 10.1016/0165-0114(96)84610-0
  • Deschrijver, G., & Kerre, E. E. (2003). On the relationship between some extensions of fuzzy set theory. Fuzzy Sets and Systems, 133(2), 227–235. doi: 10.1016/S0165-0114(02)00127-6
  • Fahmi, A., Abdullah, S., & Amin, F. (2017). Trapezoidal linguistic cubic hesitant fuzzy topsis method and application to group decision making program. Journal of New Theory, 19, 27–47.
  • Fahmi, A., Abdullah, S., & Amin, F. (2018). Expected values of aggregation operators on cubic trapezoidal fuzzy number and its application to multi-criteria decision making problems. Journal of New Theory, 22, 51–65.
  • Fahmi, A., Abdullah, S., Amin, F., & Ali, A. (2017). Precursor selection for sol-gel synthesis of titanium carbide nanopowders by a new cubic fuzzy multi-attribute group decision-making model. Journal of Intelligent Systems. doi: 10.1515/jisys-2017-0083
  • Fahmi, A., Abdullah, S., Amin, F., & Ali, A. (2018). Weighted average rating (War) method for solving group decision making problem using triangular cubic fuzzy hybrid aggregation (Tcfha). Punjab University Journal of Mathematics, 50(1), 23–34.
  • Fahmi, A., Abdullah, S., Amin, F., Ali, A., & Khan, W. A. (2018). Some geometric operators with triangular cubic linguistic hesitant fuzzy number and their application in group decision-making. Journal of Intelligent and Fuzzy System, 1–15. doi: 10.3233/JIFS-18125
  • Fahmi, A., Abdullah, S., Amin, F., & Khan, M. S. A. (2018). Trapezoidal cubic fuzzy number Einstein hybrid weighted averaging operators and its application to decision making. Soft Computing. doi: 10.1007/s00500-018-3242-6
  • Fahmi, A., Abdullah, S., Amin, F., Siddiqui, N., & Ali, A. (2017). Aggregation operators on triangular cubic fuzzy numbers and its application to multi-criteria decision making problems. Journal of Intelligent and Fuzzy System, 33, 3323–3337. doi: 10.3233/JIFS-162007
  • Jun, Y. B., Kim, C. S., & Yang, K. O. (2012). Cubic seta. Annals of Fuzzy Mathematics and Informatics, 4(1), 83–98.
  • Jun, Y. B., Muhiuddin, G., Ozturk, M. A., & Roh, E. H. (2017). Cubic soft ideals in BCK/BCI-algebras. Journal of Computational Analysis and Applications, 22(5), 929–940.
  • Liao, H., & Xu, Z. (2014). Intuitionistic fuzzy hybrid weighted aggregation operators. International Journal of Intelligent Systems, 29(11), 971–993. doi: 10.1002/int.21672
  • Muhiuddin, G., Ahn, S., Kim, S., Su, C., & Jun, Y. B. (2017). Stable cubic sets. Journal of Computational Analysis and Applications, 23(5), 802–819.
  • Muhiuddin, G., & Al-roqi, A. M. (2014). Cubic soft sets with applications in BCK/BCI-algebras. Annals of Fuzzy Mathematics and Informatics, 8(2), 29–304.
  • Nayagam, V. L. G., Jeevaraj, S., & Sivaraman, G. (2016). Complete ranking of intuitionistic fuzzy numbers. Fuzzy Information and Engineering, 8(2), 237–254. doi: 10.1016/j.fiae.2016.06.007
  • Turksen, I. B. (1986). Interval valued fuzzy sets based on normal forms. Fuzzy Sets and Systems, 20(2), 191–210. doi: 10.1016/0165-0114(86)90077-1
  • Xu, Z. S. (2007). Intuitionistic fuzzy aggregation operators. IEEE Transactions on Fuzzy Systems, 15, 1179–1187. doi: 10.1109/TFUZZ.2006.890678
  • Xu, Z. S., & Cai, X. (2010). Recent advances in intuitionistic fuzzy information aggregation. Fuzzy OptimDecisMak, 9(4), 359–381.
  • Xu, Z. S., & Yager, R. R. (2006). Some geometric aggregation operators based on intuitionistic fuzzy sets. International Journal of General Systems, 35, 417–433. doi: 10.1080/03081070600574353
  • Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353. doi: 10.1016/S0019-9958(65)90241-X
  • Zadeh, L. A. (1973). Outline of a new approach to the analysis of complex systems and decision processes. IEEE Transactions on Systems, Man, and Cybernetics, 3(1), 28–44. doi: 10.1109/TSMC.1973.5408575
  • Zeng, S. Z., & Su, W. H. (2011). Intuitionistic fuzzy ordered weighted distance operator. Knowledge Based Systems, 24, 224–1232. doi: 10.1016/j.knosys.2011.05.013

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.