Acknowledgement
The authors would like to thank the anonymous referees for their very valuable comments and recommendations
References
- X. Gu, Y. Wang, and B. Yang, A method for hesitant fuzzy multiple attribute decision making and its application to risk investment, J. Converg. Inform. Technol. 6 (2011), 282-288. https://doi.org/10.4156/jcit.vol6.issue6.29
- Y. Huang, BCI-algebra, Science Press, Beijing 2006.
- Y. B. Jun and S. S. Ahn, Hesitant fuzzy set theory applied to BCK/BCI-algerbas, The Scientific World Journal (submitted).
- Y. B. Jun and S. Z. Song, Hesitant fuzzy set theory applied to filters in MT Lalgebras, The Scientific World Journal (submitted).
- J. Meng and Y. B. Jun, BCK-algebras, Kyungmoon Sa Co., Seoul, 1994.
- G. Muhiuddin and Y. B. Jun, Hesitant fuzzy filters and hesitant fuzzy G-filters in residuated lattices, J. Appl. Math. (submitted).
- Rosa M. Rodriguez, Luis Martinez, and Francisco Herrera, Hesitant fuzzy linguistic term sets for decision making, IEEE Trans. Fuzzy Syst. 20 (2012), no. 1, 109-119. https://doi.org/10.1109/TFUZZ.2011.2170076
- V. Torra, Hesitant fuzzy sets, Int. J. Intell. Syst. 25 (2010), 529-539. https://doi.org/10.1002/int.20418
- V. Torra and Y. Narukawa, On hesitant fuzzy sets and decision, in: The 18th IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, 2009, pp. 1378-1382.
- F. Q. Wang, X. Li, and X. H. Chen, Hesitant fuzzy soft set and its applications in multicriteria decision making, J. Appl. Math. Volume 2014, Article ID 643785, 10 pages.
- G. Wei, Hesitant fuzzy prioritized operators and their application to multiple attribute decision making, Knowledge-Based Systems 31 (2012), 176-182. https://doi.org/10.1016/j.knosys.2012.03.011
- M. Xia and Z. S. Xu, Hesitant fuzzy information aggregation in decision making, Internat. J. Approx. Reason. 52 (2011), no. 3, 395-407. https://doi.org/10.1016/j.ijar.2010.09.002
- Z. S. Xu and M. Xia, Distance and similarity measures for hesitant fuzzy sets, Inform. Sci. 181 (2011), no. 11, 2128-2138. https://doi.org/10.1016/j.ins.2011.01.028
- Z. S. Xu and M. Xia, On distance and correlation measures of hesitant fuzzy information, Int. J. Intell. Syst. 26 (2011), no. 5, 410-425. https://doi.org/10.1002/int.20474
- M. Xia, Z. Xu and N. Chen, Some hesitant Fuzzy aggregation operators with their application in group decision making, Group Decis. Negot. (2011), 1-21.
- D. Yu, W. Zhang, and Y. Xu, Group decision making under hesitant fuzzy environment with application to personnel evaluation, Knowledge-Based Systems 52 (2013), 1-10. https://doi.org/10.1016/j.knosys.2013.04.010
- Z. Yue and X. H. Zhang, Quasi-associative ideals of BCI-algebras, Selected papers on BCK and BCI-algebras (in P. R. China) 1 (1992), 85-86.
- X. H. Zhang, H. Jiang, and S. A. Bhatti, On p-ideals of a BCI-algebra, Punjab Univ. J. Math. (Lahore) 27 (1994), 121-128.
- Z. Zhang, Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making, Inform. Sci. 234 (2013), 150-181. https://doi.org/10.1016/j.ins.2013.01.002