Density aggregation operators based on the intuitionistic trapezoidal fuzzy numbers for multiple attribute decision making

References

• Atanassov, K. T. 1986. Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1): 87–96. http://dx.doi.org/10.1016/S0165-0114(86)80034-3.
   Web of Science ®Google Scholar
• Atanassov, K. T. 1989. More on intuitionistic fuzzy sets, Fuzzy Sets and Systems 33(1): 37–46. http://dx.doi.org/10.1016/0165-0114(89)90215-7.
   Web of Science ®Google Scholar
• Du, Y.; Liu, P. D. 2011. Extended fuzzy VIKOR method with intuitionistic trapezoidal fuzzy numbers, Information – An International Interdisciplinary Journal 14(8): 2575–2584.
   Google Scholar
• Hou, F.; Guo, Y. J. 2008. Interval number density middle operator in uncertain multiple attribute decision making, Journal of Northeastern University (Natural Science) 29(10): 1509–1516.
   Google Scholar
• Li, W. W.; Yi, P. T.; Guo, Y. J. 2012. Interval number density operator and its application, Journal of Northeastern University (Natural Science) 33(7): 1043–1046.
   Google Scholar
• Liu, P. D. 2009. Multi-attribute decision-making method research based on interval vague set and TOPSIS method, Technological and Economic Development of Economy 15(3): 453–463.
   Web of Science ®Google Scholar
• Liu, P. D. 2013a. Some generalized dependent aggregation operators with intuitionistic linguistic numbers and their application to group decision making, Journal of Computer and System Sciences 79(1): 131–143. http://dx.doi.org/10.1016/j.jcss.2012.07.001.
   Web of Science ®Google Scholar
• Liu, P. D. 2013b. The multi-attribute group decision making method based on the interval grey linguistic variables weighted aggregation operator, Journal of Intelligent and Fuzzy Systems 24(2): 405–414.
   Web of Science ®Google Scholar
• Liu, P. D. 2013c. Some Hamacher aggregation operators based on the interval-valued intuitionistic fuzzy numbers and their application to group decision making, IEEE Transactions on Fuzzy systems PP (99): 1. http://dx.doi.org/10.1109/TFUZZ.2013.2248736.
   Google Scholar
• Liu, P. D.; Jin, F. 2012. Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making, Information Sciences 205: 58–71. http://dx.doi.org/10.1016/j.ins.2012.04.014.
   Web of Science ®Google Scholar
• Liu, P. D.; Zhang, X.; Fang Jin, F. 2012. A multi-attribute group decision-making method based on interval-valued trapezoidal fuzzy numbers hybrid harmonic averaging operators, Journal of Intelligent & Fuzzy Systems 23(5): 159–168.
   Web of Science ®Google Scholar
• Razavi Hajiagha, S. H.; Hashemi, S. S.; Zavadskas, E. K. 2013. A complex proportional assessment method for group decision making in an interval-valued intuitionistic fuzzy environment, Technological and Economic Development of Economy 19(1): 22–37. http://dx.doi.org/10.3846/20294913.2012.762953.
   Web of Science ®Google Scholar
• Wan, S. P. 2013. Power average operators of trapezoidal intuitionistic fuzzy numbers and application to multi-attribute group decision making, Applied Mathematical Modelling 37(6): 4112–4126. http://dx.doi.org/10.1016/j.apm.2012.09.017.
   Google Scholar
• Wang, J. Q. 2008. Overview on fuzzy multi-criteria decision-making approach, Control and Decision 23: 601–606.
   Google Scholar
• Wang, J. Q.; Zhang, Z. H. 2008. Programming method of multi-criteria decision-making based on intuitionistic fuzzy number with incomplete certain information, Control and Decision 23: 1145–1148.
   Google Scholar
• Wang, J. Q.; Zhang, Z. H. 2009a. Multi-criteria decision-making method with incomplete certain information based on intuitionistic fuzzy number, Control and Decision 24: 226–230.
   Google Scholar
• Wang, J. Q.; Zhang, Z. H. 2009b. Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems, Journal of Systems Engineering and Electronics 20: 321–326.
   Web of Science ®Google Scholar
• Xu, Z. S. 2007. Intuitionistic fuzzy aggregation operators, IEEE Transactions on Fuzzy Systems 15(6): 1179–1187. http://dx.doi.org/10.1109/TFUZZ.2006.890678.
   Web of Science ®Google Scholar
• Xu, Z. S.; Da, Q. L. 2003. Possibility degree method for ranking interval numbers and its application, Journal of Systems Engineering 18(1): 67–70.
   Google Scholar
• Xu, Z. S.; Yager, R. R. 2006. Some geometric aggregation operators based on intuitionistic fuzzy sets, International Journal of General Systems 35(4): 417–433. http://dx.doi.org/10.1080/03081070600574353.
   Web of Science ®Google Scholar
• Yi, P. T.; Guo, Y. J. 2010. Generalized real density weighted averaging middle operator and its application, Journal of Systems Engineering 25(2): 196–202.
   Google Scholar
• Yi, P. T.; Guo, Y. J.; Zhang, D. N. 2007. Density weighted averaging middle operator and application in multi-attribute decision making, Control and Decision 22: 515–524.
   Google Scholar
• Yu, C. H.; Fan, Z. P. 2003. A clustering method forinterval numberinformation based on risk attitude factor, Journal of Northeastern University (Natural Science) 11(24): 1116–1118.
   Google Scholar
• Yu, D. J. 2013. Intuitionistic fuzzy prioritized operators and their application in multi-criteria group decision making, Technological and Economic Development of Economy 19(1): 1–21. http://dx.doi.org/10.3846/20294913.2012.762951.
   Web of Science ®Google Scholar
• Zhang, X.; Jin, F.; Liu, P. D. 2013. A grey relational projection method for multi-attribute decision making based on intuitionistic trapezoidal fuzzy number, Applied Mathematical Modelling 37(5): 3467–3477. http://dx.doi.org/10.1016/j.apm.2012.08.012.
   Web of Science ®Google Scholar
• Zhang, X.; Liu, P. D. 2010. Method for aggregating triangular fuzzy intuitionistic fuzzy information and its application to decision making, Technological and Economic Development of Economy 16(2): 280–290. http://dx.doi.org/10.3846/tede.2010.18.
   Web of Science ®Google Scholar