Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2013, Article ID 705159, 24 pages
http://dx.doi.org/10.1155/2013/705159
Research Article

Some Generalized Dependent Aggregation Operators with Interval-Valued Intuitionistic Fuzzy Information and Their Application to Exploitation Investment Evaluation

1School of Management, Hefei University of Technology, Hefei 230009, China
2Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei 230009, China
3School of Economics and Management, Zhejiang Normal University, Jinhua 321004, China

Received 28 January 2013; Accepted 21 April 2013

Academic Editor: Francisco Chiclana

Copyright © 2013 Xiao-wen Qi 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. M. Z. Zerafat Angiz, A. Emrouznejad, A. Mustafa, and A. Rashidi Komijan, “Selecting the most preferable alternatives in a group decision making problem using DEA,” Expert Systems with Applications, vol. 36, no. 5, pp. 9599–9602, 2009. View at Publisher · View at Google Scholar · View at Scopus
  2. Y. C. Dong, G. Q. Zhang, W. C. Hong, and Y. F. Xu, “Consensus models for AHP group decision making under row geometric mean prioritization method,” Decision Support Systems, vol. 49, no. 3, pp. 281–289, 2010. View at Publisher · View at Google Scholar · View at Scopus
  3. L. A. Yu and K. K. Lai, “A distance-based group decision-making methodology for multi-person multi-criteria emergency decision support,” Decision Support Systems, vol. 51, no. 2, pp. 307–315, 2011. View at Publisher · View at Google Scholar · View at Scopus
  4. L. G. Zhou, H. Y. Chen, and J. P. Liu, “Generalized weighted exponential proportional aggregation operators and their applications to group decision making,” Applied Mathematical Modelling, vol. 36, no. 9, pp. 4365–4384, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. L. G. Zhou, H. Y. Chen, and J. P. Liu, “Generalized logarithmic proportional averaging operators and their applications to group decision making,” Knowledge-Based Systems, vol. 36, pp. 268–279, 2012. View at Google Scholar
  6. Q.-W. Cao and J. Wu, “The extended COWG operators and their application to multiple attributive group decision making problems with interval numbers,” Applied Mathematical Modelling, vol. 35, no. 5, pp. 2075–2086, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. L. G. Zhou, H. Y. Chen, J. M. Merigó, and A. M. Gil-Lafuente, “Uncertain generalized aggregation operators,” Expert Systems with Applications, vol. 39, pp. 1105–1117, 2012. View at Google Scholar
  8. L.-G. Zhou and H.-Y. Chen, “Continuous generalized OWA operator and its application to decision making,” Fuzzy Sets and Systems, vol. 168, pp. 18–34, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. L. G. Zhou and H. Y. Chen, “A generalization of the power aggregation operators for linguistic environment and its application in group decision making,” Knowledge-Based Systems, vol. 26, pp. 216–224, 2012. View at Google Scholar
  10. J. M. Merigó, A. M. Gil-Lafuente, L. G. Zhou, and H. Y. Chen, “Induced and linguistic generalized aggregation operators and their application in linguistic group decision making,” Group Decision and Negotiation, vol. 21, pp. 531–549, 2010. View at Publisher · View at Google Scholar · View at Scopus
  11. G. W. Wei and X. F. Zhao, “Some dependent aggregation operators with 2-tuple linguistic information and their application to multiple attribute group decision making,” Expert Systems with Applications, vol. 39, pp. 5881–5886, 2012. View at Google Scholar
  12. G. W. Wei, “FIOWHM operator and its application to multiple attribute group decision making,” Expert Systems with Applications, vol. 38, no. 4, pp. 2984–2989, 2011. View at Publisher · View at Google Scholar · View at Scopus
  13. J. M. Merigó and A. M. Gil-Lafuente, “Fuzzy induced generalized aggregation operators and its application in multi-person decision making,” Expert Systems with Applications, vol. 38, no. 8, pp. 9761–9772, 2011. View at Publisher · View at Google Scholar · View at Scopus
  14. P. D. Liu, “A weighted aggregation operators multi-attribute group decision-making method based on interval-valued trapezoidal fuzzy numbers,” Expert Systems with Applications, vol. 38, no. 1, pp. 1053–1060, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. F. Zandi and M. Tavana, “A fuzzy group multi-criteria enterprise architecture framework selection model,” Expert Systems with Applications, vol. 39, pp. 1165–1173, 2012. View at Google Scholar
  16. K. Khalili-Damghani and S. Sadi-Nezhad, “A hybrid fuzzy multiple criteria group decision making approach for sustainable project selection,” Applied Soft Computing, vol. 13, pp. 339–352, 2013. View at Google Scholar
  17. B. Vahdani, S. M. Mousavi, H. Hashemi, M. Mousakhani, and R. Tavakkoli-Moghaddam, “A new compromise solution method for fuzzy group decision-making problems with an application to the contractor selection,” Engineering Applications of Artificial Intelligence, vol. 26, pp. 779–788, 2013. View at Google Scholar
  18. 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 Zentralblatt MATH · View at MathSciNet
  19. 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 Zentralblatt MATH · View at MathSciNet
  20. D.-F. Li, G.-H. Chen, and Z.-G. Huang, “Linear programming method for multiattribute group decision making using IF sets,” Information Sciences, vol. 180, no. 9, pp. 1591–1609, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  21. Z. X. Su, G. P. Xia, M. Y. Chen, and L. Wang, “Induced generalized intuitionistic fuzzy OWA operator for multi-attribute group decision making,” Expert Systems with Applications, vol. 39, pp. 1902–1910, 2012. View at Google Scholar
  22. Y. J. Xu and H. M. Wang, “The induced generalized aggregation operators for intuitionistic fuzzy sets and their application in group decision making,” Applied Soft Computing, vol. 12, pp. 1168–1179, 2012. View at Google Scholar
  23. L. G. Zhou, H. Y. Chen, and J. P. Liu, “Generalized power aggregation operators and their applications in group decision making,” Computers & Industrial Engineering, vol. 62, pp. 989–999, 2012. View at Google Scholar
  24. Z. S. Xu, “Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators,” Knowledge-Based Systems, vol. 24, no. 6, pp. 749–760, 2011. View at Publisher · View at Google Scholar · View at Scopus
  25. Z. P. Chen and W. Yang, “A new multiple attribute group decision making method in intuitionistic fuzzy setting,” Applied Mathematical Modelling, vol. 35, no. 9, pp. 4424–4437, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  26. Z. X. Su, M. Y. Chen, G. P. Xia, and L. Wang, “An interactive method for dynamic intuitionistic fuzzy multi-attribute group decision making,” Expert Systems with Applications, vol. 38, pp. 15286–15295, 2011. View at Google Scholar
  27. S. P. Wan, “Power average operators of trapezoidal intuitionistic fuzzy numbers and application to multi-attribute group decision making,” Applied Mathematical Modelling, vol. 37, pp. 4112–4126, 2013. View at Google Scholar
  28. Z. L. Yue and Y. Y. Jia, “An application of soft computing technique in group decision making under interval-valued intuitionistic fuzzy environment,” Applied Soft Computing, vol. 13, pp. 2490–2503, 2013. View at Google Scholar
  29. D. J. Yu, Y. 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 Google Scholar
  30. M. M. Xia and Z. S. Xu, “Entropy/cross entropy-based group decision making under intuitionistic fuzzy environment,” Information Fusion, vol. 13, pp. 31–47, 2012. View at Google Scholar
  31. Y. Jiang, Z. S. Xu, and X. H. Yu, “Compatibility measures and consensus models for group decision making with intuitionistic multiplicative preference relations,” Applied Soft Computing, vol. 13, pp. 2075–2086, 2013. View at Google Scholar
  32. R. R. Yager, “On ordered weighted averaging aggregation operators in multicriteria decisionmaking,” IEEE Transactions on Systems, Man, and Cybernetics, vol. 18, no. 1, pp. 183–190, 1988. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  33. J. M. Merigó and M. Casanovas, “Decision-making with distance measures and induced aggregation operators,” Computers and Industrial Engineering, vol. 60, no. 1, pp. 66–76, 2011. View at Publisher · View at Google Scholar · View at Scopus
  34. G. W. Wei, “A method for multiple attribute group decision making based on the ET-WG and ET-OWG operators with 2-tuple linguistic information,” Expert Systems with Applications, vol. 37, no. 12, pp. 7895–7900, 2010. View at Publisher · View at Google Scholar · View at Scopus
  35. N. B. Karayiannis, “Soft learning vector quantization and clustering algorithms based on ordered weighted aggregation operators,” IEEE Transactions on Neural Networks, vol. 11, no. 5, pp. 1093–1105, 2000. View at Publisher · View at Google Scholar · View at Scopus
  36. D. F. Li, “Multiattribute decision making method based on generalized OWA operators with intuitionistic fuzzy sets,” Expert Systems with Applications, vol. 37, no. 12, pp. 8673–8678, 2010. View at Publisher · View at Google Scholar · View at Scopus
  37. J. M. Merigó and M. Casanovas, “Fuzzy generalized hybrid aggregation operators and its application in fuzzy decision making,” International Journal of Fuzzy Systems, vol. 12, no. 1, pp. 15–24, 2010. View at Google Scholar · View at Scopus
  38. Y. J. Xu, J. M. Merigó, and H. M. Wang, “Linguistic power aggregation operators and their application to multiple attribute group decision making,” Applied Mathematical Modelling, vol. 36, no. 11, pp. 5427–5444, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  39. Z. S. Xu and R. R. Yager, “Power-geometric operators and their use in group decision making,” IEEE Transactions on Fuzzy Systems, vol. 18, no. 1, pp. 94–105, 2010. View at Publisher · View at Google Scholar · View at Scopus
  40. P. D. Liu, “Some generalized dependent aggregation operators with intuitionistic linguistic numbers and their application to group decision making,” Journal of Computer and System Sciences, vol. 79, no. 1, pp. 131–143, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  41. Z. S. Xu, “Dependent OWA operators,” Lecture Notes in Computer Science, vol. 3885, pp. 172–178, 2006. View at Google Scholar · View at Scopus
  42. D. P. Filev and R. R. Yager, “On the issue of obtaining OWA operator weights,” Fuzzy Sets and Systems, vol. 94, no. 2, pp. 157–169, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  43. R. Fullér and P. Majlender, “An analytic approach for obtaining maximal entropy OWA operator weights,” Fuzzy Sets and Systems, vol. 124, no. 1, pp. 53–57, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  44. Z. S. Xu, “An overview of methods for determining OWA weights,” International Journal of Intelligent Systems, vol. 20, no. 8, pp. 843–865, 2005. View at Publisher · View at Google Scholar · View at Scopus
  45. R. R. Yager, “Families of OWA operators,” Fuzzy Sets and Systems, vol. 59, no. 2, pp. 125–148, 1993. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  46. R. R. Yager and D. P. Filev, “Parametrized and-like and or-like own operators,” International Journal of General Systems, vol. 22, no. 3, pp. 297–316, 1994. View at Google Scholar · View at Scopus
  47. P. D. Liu and F. Jin, “Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making,” Information Sciences, vol. 205, pp. 58–71, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  48. P. D. Liu, “Some geometric aggregation operators based on interval intuitionistic uncertain linguistic variables and their application to group decision making,” Applied Mathematical Modelling, vol. 37, no. 4, pp. 2430–2444, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  49. Z. S. Xu, “Dependent uncertain ordered weighted aggregation operators,” Information Fusion, vol. 9, no. 2, pp. 310–316, 2008. View at Publisher · View at Google Scholar · View at Scopus
  50. Z. S. Xu and Q. L. Da, “The uncertain OWA operator,” International Journal of Intelligent Systems, vol. 17, no. 6, pp. 569–575, 2002. View at Publisher · View at Google Scholar · View at Scopus
  51. G. W. Wei, “Method of uncertain linguistic multiple attribute group decision making based on dependent aggregation operators,” Systems Engineering and Electronics, vol. 32, no. 4, pp. 764–769, 2010. View at Google Scholar · View at Scopus
  52. J. Wu, C. Y. Liang, and Y. Q. Huang, “An argument-dependent approach to determining OWA operator weights based on the rule of maximum entropy,” International Journal of Intelligent Systems, vol. 22, no. 2, pp. 209–221, 2007. View at Publisher · View at Google Scholar · View at Scopus
  53. Z. J. Wang, K. W. Li, and W. Z. Wang, “An approach to multiattribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights,” Information Sciences, vol. 179, no. 17, pp. 3026–3040, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  54. R. R. Yager, “The power average operator,” IEEE Transactions on Systems, Man, and Cybernetics Part A, vol. 31, no. 6, pp. 724–731, 2001. View at Publisher · View at Google Scholar · View at Scopus
  55. Z. S. Xu and M. M. Xia, “Induced generalized intuitionistic fuzzy operators,” Knowledge-Based Systems, vol. 24, no. 2, pp. 197–209, 2011. View at Publisher · View at Google Scholar · View at Scopus
  56. R. R. Yager, “Generalized OWA aggregation operators,” Fuzzy Optimization and Decision Making, vol. 3, no. 1, pp. 93–107, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  57. J. Fofor, J. L. Marichal, and M. Roubens, “Characterization of the ordered weighted averaging operators,” IEEE Transactions on Fuzzy Systems, vol. 3, pp. 236–240, 1995. View at Google Scholar
  58. J. M. Merigó and A. M. Gil-Lafuente, “The induced generalized OWA operator,” Information Sciences, vol. 179, no. 6, pp. 729–741, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  59. R. R. Yager and D. P. Filev, “Induced ordered weighted averaging operators,” IEEE Transactions on Systems, Man, and Cybernetics Part B, vol. 29, no. 2, pp. 141–150, 1999. View at Publisher · View at Google Scholar · View at Scopus
  60. J. M. Merigó and M. Casanovas, “The generalized hybrid averaging operator and its application in decision making,” Journal of Quantitative Methods For Economics and Business Administration, vol. 9, pp. 69–84, 2010. View at Google Scholar
  61. J. M. Merigó and A. M. Gil-Lafuente, “The induced linguistic generalized OWA operator,” in Proceedings of the FLINS International Conference, pp. 325–330, Madrid, Spain, 2008. View at Scopus
  62. H. Zhao, Z. S. Xu, M. F. Ni, and S. Liu, “Generalized aggregation operators for intuitionistic fuzzy sets,” International Journal of Intelligent Systems, vol. 25, no. 1, pp. 1–30, 2010. View at Publisher · View at Google Scholar · View at Scopus
  63. G. W. Wei, “Some induced geometric aggregation operators with intuitionistic fuzzy information and their application to group decision making,” Applied Soft Computing, vol. 10, no. 2, pp. 423–431, 2010. View at Publisher · View at Google Scholar · View at Scopus
  64. Y. J. Xu and H. M. Wang, “Approaches based on 2-tuple linguistic power aggregation operators for multiple attribute group decision making under linguistic environment,” Applied Soft Computing, vol. 11, no. 5, pp. 3988–3997, 2011. View at Publisher · View at Google Scholar · View at Scopus
  65. Z. S. Xu, “Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making,” Control and Decision, vol. 22, no. 2, pp. 215–219, 2007. View at Google Scholar · View at Scopus
  66. Z. S. Xu, “Intuitionistic fuzzy aggregation operators,” IEEE Transactions on Fuzzy Systems, vol. 15, no. 6, pp. 1179–1187, 2007. View at Publisher · View at Google Scholar · View at Scopus
  67. Z. S. Xu and J. Chen, “An approach to group decision making based on interval-valued intuitionistic judgment matrices,” System Engineering Theory and Practice, vol. 27, no. 4, pp. 126–133, 2007. View at Google Scholar · View at Scopus
  68. Z. S. Xu and R. R. Yager, “Intuitionistic and interval-valued intuitionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group,” Fuzzy Optimization and Decision Making, vol. 8, no. 2, pp. 123–139, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  69. S. H. Ren and K. Q. Cai, Research on Evaluation of Exploitation Feasibility and Sustainable Development Strategies for Tourism Resources in ZhouShan Sea Islands of China, Ocean Press, Beijing, China, 2010.