Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 154848, 7 pages
http://dx.doi.org/10.1155/2015/154848
Research Article

Generalizing and Integrating TOPSIS and Cook-Seiford Method for Multicriteria Group Decision-Making with Both Cardinal and Ordinal Data

1School of Information and Communication Engineering, Hunan Institute of Science and Technology, Yueyang 414006, China
2School of Computer, Hunan Institute of Science and Technology, Yueyang 414006, China

Received 5 December 2014; Accepted 21 February 2015

Academic Editor: Tofigh Allahviranloo

Copyright © 2015 Wu Li et al. 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. Z.-C. Jiang and Y. Wang, “Multiattribute group decision making with unknown decision expert weights information in the framework of interval intuitionistic trapezoidal fuzzy numbers,” Mathematical Problems in Engineering, vol. 2014, Article ID 635476, 7 pages, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  2. C. L. Hwang and M. J. Lin, Group Decision Making under Multiple Criteria: Methods and Applications, Springer, Berlin, Germany, 1987.
  3. S.-P. Wan and D.-F. Li, “Atanassov's intuitionistic fuzzy programming method for heterogeneous multiattribute group decision making with Atanassov's intuitionistic fuzzy truth degrees,” IEEE Transactions on Fuzzy Systems, vol. 22, no. 2, pp. 300–312, 2014. View at Publisher · View at Google Scholar · View at Scopus
  4. P.-D. Liu and X.-C. Yu, “2-Dimension uncertain linguistic power generalized weighted aggregation operator and its application in multiple attribute group decision making,” Knowledge-Based Systems, vol. 57, pp. 69–80, 2014. View at Publisher · View at Google Scholar · View at Scopus
  5. J. Chai, J. N. K. Liu, and E. W. T. Ngai, “Application of decision-making techniques in supplier selection: a systematic review of literature,” Expert Systems with Applications, vol. 40, no. 10, pp. 3872–3885, 2013. View at Publisher · View at Google Scholar · View at Scopus
  6. Y.-C. Dong and H.-J. Zhang, “Multiperson decision making with different preference representation structures: a direct consensus framework and its properties,” Knowledge-Based Systems, vol. 58, pp. 45–57, 2014. View at Publisher · View at Google Scholar · View at Scopus
  7. G.-W. Wei, “Grey relational analysis model for dynamic hybrid multiple attribute decision making,” Knowledge-Based Systems, vol. 24, no. 5, pp. 672–679, 2011. View at Publisher · View at Google Scholar · View at Scopus
  8. M. Delgado, F. Herrera, E. Herrera-Viedma, and L. Martínezb, “Combining numerical and linguistic information in group decision making,” Information Sciences, vol. 107, no. 1–4, pp. 177–194, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  9. F. Chiclana, F. Herrera, and E. Herrera-Viedma, “Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations,” Fuzzy Sets and Systems, vol. 97, no. 1, pp. 33–48, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  10. F. Herrera, L. Martínez, and P. J. Sánchez, “Managing non-homogeneous information in group decision making,” European Journal of Operational Research, vol. 166, no. 1, pp. 115–132, 2005. View at Publisher · View at Google Scholar · View at Scopus
  11. F. Mata, L. Martínez, and E. Herrera-Viedma, “An adaptive consensus support model for group decision-making problems in a multigranular fuzzy linguistic context,” IEEE Transactions on Fuzzy Systems, vol. 17, no. 2, pp. 279–290, 2009. View at Publisher · View at Google Scholar · View at Scopus
  12. Y.-C. Dong, Y.-F. Xu, and S. Yu, “Linguistic multiperson decision making based on the use of multiple preference relations,” Fuzzy Sets and Systems, vol. 160, no. 5, pp. 603–623, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. Z.-P. Fan, J. Ma, Y.-P. Jiang, Y.-H. Sun, and L. Ma, “A goal programming approach to group decision making based on multiplicative preference relations and fuzzy preference relations,” European Journal of Operational Research, vol. 174, no. 1, pp. 311–321, 2006. View at Publisher · View at Google Scholar · View at Scopus
  14. Y.-M. Wang and C. Parkan, “Optimal aggregation of fuzzy preference relations with an application to broadband internet service selection,” European Journal of Operational Research, vol. 187, no. 3, pp. 1476–1486, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. Z.-S. Xu, X.-Q. Cai, and S.-S. Liu, “Nonlinear programming model integrating different preference structures,” IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans, vol. 41, no. 1, pp. 169–177, 2011. View at Publisher · View at Google Scholar · View at Scopus
  16. C. L. Hwang and K. Yoon, Multiple Attribute Decision Making, Springer, Berlin, Germany, 1981.
  17. W. D. Cook and L. M. Seiford, “Priority ranking and consensus formation,” Management Science, vol. 24, no. 16, pp. 1721–1732, 1978. View at Google Scholar
  18. H. S. Shih, H. J. Shyur, and E. S. Lee, “An extension of TOPSIS for group decision making,” Mathematical and Computer Modelling, vol. 45, no. 7-8, pp. 801–813, 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. S. H. Zanakis, A. Solomon, N. Wishart, and S. Dublish, “Multi-attribute decision making: a simulation comparison of select methods,” European Journal of Operational Research, vol. 107, no. 3, pp. 507–529, 1998. View at Publisher · View at Google Scholar · View at Scopus
  20. C.-T. Chen, “Extensions of the TOPSIS for group decision-making under fuzzy environment,” Fuzzy Sets and Systems, vol. 114, no. 1, pp. 1–9, 2000. View at Publisher · View at Google Scholar · View at Scopus
  21. Y.-J. Wang and H.-S. Lee, “Generalizing TOPSIS for fuzzy multiple-criteria group decision-making,” Computers & Mathematics with Applications, vol. 53, no. 11, pp. 1762–1772, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  22. T.-C. Chu, “Facility location selection using fuzzy TOPSIS under group decisions,” International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 10, no. 6, pp. 687–701, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. Y.-H. Lin, P.-C. Lee, T.-P. Chang, and H.-I. Ting, “Multi-attribute group decision making model under the condition of uncertain information,” Automation in Construction, vol. 17, no. 6, pp. 792–797, 2008. View at Publisher · View at Google Scholar · View at Scopus
  24. F. Liu and W.-G. Zhang, “TOPSIS-based consensus model for group decision-making with incomplete interval fuzzy preference Relations,” IEEE Transactions on Cybernetics, vol. 44, no. 8, pp. 1283–1294, 2013. View at Publisher · View at Google Scholar
  25. Z.-L. Yue, “TOPSIS-based group decision-making methodology in intuitionistic fuzzy setting,” Information Sciences, vol. 277, pp. 141–153, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus