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Mathematical Problems in Engineering
Volume 2014, Article ID 635476, 7 pages
http://dx.doi.org/10.1155/2014/635476
Research Article

Multiattribute Group Decision Making with Unknown Decision Expert Weights Information in the Framework of Interval Intuitionistic Trapezoidal Fuzzy Numbers

1Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450046, China
2Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou 510665, China

Received 19 March 2014; Accepted 16 July 2014; Published 5 August 2014

Academic Editor: Tofigh Allahviranloo

Copyright © 2014 Zongcai Jiang and Yan Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 20, no. 1, pp. 87–96, 1986. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. K. Atanassov and G. Gargov, “Interval valued intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 31, no. 3, pp. 343–349, 1989. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, pp. 338–353, 1965. View at Google Scholar · View at MathSciNet · View at Scopus
  4. S. Chen, L. Lee, H. Liu, and S. Yang, “Multiattribute decision making based on interval-valued intuitionistic fuzzy values,” Expert Systems with Applications, vol. 39, no. 12, pp. 10343–10351, 2012. View at Publisher · View at Google Scholar · View at Scopus
  5. G. Beliakov, H. Bustince, S. James et al., “Aggregation for Atanassov's intuitionistic and interval valued fuzzy sets: the median operator,” IEEE Transactions on Fuzzy Systems, vol. 20, pp. 487–498, 2012. View at Publisher · View at Google Scholar
  6. Z. Xu, “Intuitionistic fuzzy multiattribute decision making: an interactive method,” IEEE Transactions on Fuzzy Systems, vol. 20, no. 3, pp. 514–525, 2012. View at Publisher · View at Google Scholar
  7. Z. C. Jiang and L. Y. Yu, “A multiple attribute interval-valued intuitionistic fuzzy group decision making method for emergency alternative selection,” Journal of Computational Information Systems, vol. 9, no. 12, pp. 4911–4919, 2013. View at Publisher · View at Google Scholar · View at Scopus
  8. L.-H. Chen, C.-C. Hung, and C.-C. Tu, “Considering the decision maker's attitudinal character to solve multi-criteria decision-making problems in an intuitionistic fuzzy environment,” Knowledge-Based Systems, vol. 36, pp. 129–138, 2012. View at Publisher · View at Google Scholar · View at Scopus
  9. D. Yu, Y. Wu, and T. Lu, “Interval-valued intuitionistic fuzzy prioritized operators and their application in group decision making,” Knowledge-Based Systems, vol. 30, pp. 57–66, 2012. View at Publisher · View at Google Scholar · View at Scopus
  10. F. Meng, C. Tan, and Q. Zhang, “The induced generalized interval-valued intuitionistic fuzzy hybrid Shapley averaging operator and its application in decision making,” Knowledge-Based Systems, vol. 42, pp. 9–19, 2013. View at Publisher · View at Google Scholar · View at Scopus
  11. J. Mao, D. Yao, and C. Wang, “A novel cross-entropy and entropy measures of IFSs and their applications,” Knowledge-Based Systems, vol. 48, pp. 37–45, 2013. View at Publisher · View at Google Scholar · View at Scopus
  12. M. Shu, C. Cheng, and J. Chang, “Using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly,” Microelectronics Reliability, vol. 46, no. 12, pp. 2139–2148, 2006. View at Publisher · View at Google Scholar · View at Scopus
  13. D. F. Li, “A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems,” Computers & Mathematics with Applications, vol. 60, no. 6, pp. 1557–1570, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. Y. Chen and B. Li, “Dynamic multi-attribute decision making model based on triangular intuitionistic fuzzy numbers,” Scientia Iranica B, vol. 18, no. 2, pp. 268–274, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. J. Q. Wang, R. Nie, H. Zhang, and X. Chen, “Intuitionistic fuzzy multi-criteria decision-making method based on evidential reasoning,” Applied Soft Computing Journal, vol. 13, no. 4, pp. 1823–1831, 2013. View at Publisher · View at Google Scholar · View at Scopus
  16. H. M. Nehi and H. R. Maleki, “Intuitionistic fuzzy numbers and it’s applications in fuzzy optimization problem,” in Proceedings of the 9th WSEAS International Conference on Systems, Athens, Greece, 2005.
  17. J. Q. Wang and Z. Zhong, “Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems,” Journal of Systems Engineering and Electronics, vol. 20, no. 2, pp. 321–326, 2009. View at Google Scholar · View at Scopus
  18. S. P. Wan, “Survey on intuitionistic fuzzy multi-attribute decision making approach,” Control and Decision, vol. 25, no. 11, pp. 1601–1606, 2010. View at Google Scholar · View at MathSciNet · View at Scopus
  19. S. P. Wan and J. Y. Dong, “Method of the intuitionistic trapezoidal fuzzy number for multi-attribute group decision,” Control and Decision, vol. 25, no. 5, pp. 773–776, 2010. View at Google Scholar · View at MathSciNet · View at Scopus
  20. J. Ye, “Expected value method for intuitionistic trapezoidal fuzzy multicriteria decision-making problems,” Expert Systems with Applications, vol. 38, no. 9, pp. 11730–11734, 2011. View at Publisher · View at Google Scholar · View at Scopus
  21. J. Ye, “Multicriteria group decision-making method using the distances-based similarity measures between intuitionistic trapezoidal fuzzy numbers,” International Journal of General Systems, vol. 41, no. 7, pp. 729–739, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  22. S. P. Wan, X. Zhang, and D. Li, “Possibility mean-variance based method for intuitionistic trapezoidal fuzzy group decision making,” Journal of System Engineering, vol. 27, pp. 782–787, 2012. View at Google Scholar
  23. X. Zhang, F. Jin, and P. Liu, “A grey relational projection method for multi-attribute decision making based on intuitionistic trapezoidal fuzzy number,” Applied Mathematical Modelling, vol. 37, no. 5, pp. 3467–3477, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  24. S. P. Wan, “Multi-attribute decision making method based on interval-valued intuitionistic trapezoidal fuzzy numbers,” Control and Decision, vol. 26, no. 6, pp. 857–860, 2011. View at Google Scholar · View at MathSciNet
  25. S. P. Wan, “Multi-attribute decision making method based on interval-valued trapezoidal intuitionistic fuzzy numbers,” Control and Decision, vol. 27, no. 3, pp. 455–458, 2012. View at Google Scholar · View at MathSciNet
  26. G. Wei, X. Zhao, and H. Wang, “An approach to multiple attribute group decision making with interval intuitionistic trapezoidal fuzzy information,” Technological and Economic Development of Economy, vol. 18, no. 2, pp. 317–330, 2012. View at Publisher · View at Google Scholar · View at Scopus
  27. J. Q. Wang, “An overview of fuzzy multi-criteria decision-making approach,” Control and Decision, vol. 23, no. 6, pp. 601–606, 2008. View at Google Scholar · View at MathSciNet