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A Generalized Multi-Attribute Group Decision Making with Intuitionistic Fuzzy Set

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Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 212))

Abstract

The aim of this paper is to introduce a new decision making model called the generalized multi-attribute group decision making (GMAGDM), which provides a very general form that includes multi-attribute decision making (MADM) and multi-attribute group decision making (MAGDM) as two special cases. A GMAGDM under intuitionistic fuzzy environment is proposed. The relation between intuitionistic fuzzy set and hesitant fuzzy set is utilized. Then we propose a hesitant fuzzy TOPSIS method for the solution of the mentioned problem. Finally, a numerical example is given to illustrate the flexibility and validity of the proposed approach.

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References

  1. Tanino T (1984) Fuzzy preference orderings in group decision making. Fuzzy Sets Syst, 12:117–131

    Google Scholar 

  2. Delgado M, Herrera F, Herrera-Viedma E, Martinez L (1998) Combining numerical and linguistic information in group decision making. Inf Sci 107:177–194

    Article  MathSciNet  Google Scholar 

  3. Herrera F, Herrera-Viedma E, Chiclana F (2001) Multiperson decision-making based on multiplicative preference relations. Eur J Oper Res 129:372–385

    Article  MathSciNet  MATH  Google Scholar 

  4. Kameda T, Tindale RS, Davis JH (2002) Cognitions, preferences, and social sharedness: past, present, and future directions in group decision making. In: Schneider SL, Shanteau J (eds) Emerging perspectives on judgment and decision research. Cambridge University Press, Cambridge

    Google Scholar 

  5. Chen HY, Zhou LG, Han B (2011) On compatibility of uncertain additive linguistic preference relations and its application in the group decision making. Knowl-Based Syst 24:816–823

    Article  Google Scholar 

  6. Merigo JM, Gil-Lafuente AM, Zhou LG, Chen HY (2011) A generalization of the linguistic aggregation operator and its application in decision making. J Syst Eng Electron 22:1–5

    Article  Google Scholar 

  7. Zadeh LA (1965) Fuzzy sets, information and control. 8:338–353

    Google Scholar 

  8. Zadeh LA (1975) The concept of a linguistic and application to approximate reasoning I. Inf Sci, 8:199–249

    Google Scholar 

  9. Krassimir T (1988) Atanassov: intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–90

    Google Scholar 

  10. Atanassov K, Gargov G (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst, 31:343–349

    Google Scholar 

  11. Torra V, Narukawa Y (2009) On hesitant fuzzy sets and decision, FUZZ-IEEE, Korea, Aug pp 20–24

    Google Scholar 

  12. Yager R (1993) Families of OWA operators. Fuzzy Sets Systems. 59:125–148

    Google Scholar 

  13. Zhou LG, Chen HY (2012) A generalization of the power aggregation operators for linguistic environment and its application in group decision making. Knowl Based Syst, 26:216–224

    Google Scholar 

  14. Chen HY, Zhou LG (2012) A relative entropy approach to group decision making with interval reciprocal relations based on COWA Operator. Group Decis Negot. 21:585–599

    Google Scholar 

  15. Zhou LG, Chen HY (2011) Continuous generalized OWA operator and its application to decision making. Fuzzy Sets Syst, 168:18–34

    Google Scholar 

  16. Zhou LG, Chen HY, Liu JP (2012) Generalized power aggregation operators and their applications in group decision making. Comput Ind Eng 62:989–999

    Article  Google Scholar 

  17. Zhou LG, Chen HY, Liu JP (2012) Continuous ordered weighted distance measure and its application to multiple attribute group decision making. Group Decis Negot. doi:10.1007/s10726-012-9289-3

    Google Scholar 

  18. Zhou LG, Chen HY, Merigó JM, Gil-Lafuente AM (2012) Uncertain generalized aggregation operators. Expert Syst Appl 39:1105–1117

    Article  Google Scholar 

  19. Chen HY, Zhou LG (2011) An approach to group decision making with interval fuzzy preference relations based on induced generalized continuous ordered weighted averaging operator. Expert Syst Appl 38:13432–13440

    Article  Google Scholar 

  20. Liu PD (2013) Some geometric aggregation operators based on interval intuitionistic uncertain linguistic variables and their application to group decision making. Appl Math Model, 37:2430–2444

    Google Scholar 

  21. Xia MM, Xu ZS (2012) Entropy/cross entropy-based group decision making under intuitionistic fuzzy environment. Inf Fusion 13:31–47

    Article  Google Scholar 

  22. Wan ZJ, Li KW, Xu JH (2011) A mathematical programming approach to multi-attribute decision making with interval-valued intuitionistic fuzzy assessment information. Expert Systems with Applications, 38:12462–12469

    Google Scholar 

  23. De Smet Y, Mareschal B, Verly C (2009) Extending the PROMETHEE II method to continuous and combinatorial multi-objective optimization problems: a first model. In: Proceedings of the 2009 IEEE IEEM. 1608–1611

    Google Scholar 

  24. Zhang SF, Liu SY (2011) A GRA-based intuitionistic fuzzy multi-criteria group decision making method for personnel selection. Expert Syst Appl 38:11401–11405

    Article  Google Scholar 

  25. Vahdani B, Mousavi SM, Tavakkoli-Moghaddam R, Hashemi H (2013) A new design of the elimination and choice translating reality method for multi-criteria group decision-making in an intuitionistic fuzzy environment. Appl Math Model 37:1781–1799

    Article  MathSciNet  MATH  Google Scholar 

  26. Chiclana F, Tapia García JM, del Moral MJ, Herrera-Viedma E (2013) A statistical comparative study of different similarity measures of consensus in group decision making. Inf Sci 221:110–123

    Article  MathSciNet  Google Scholar 

  27. Palomares I, Rodríguez RM, Martínez L (2013) An attitude-driven web consensus support system for heterogeneous group decision making. Expert Syst Appl 40:139–149

    Article  Google Scholar 

  28. Xu ZS, Xia MM (2011) On distance and correlation measures of hesitant fuzzy information. Int J Intell Syst 26:410–425

    Article  MATH  Google Scholar 

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Acknowledgments

The work is supported by National Science Foundation of China (Grant No. 71071002), the academic innovation team of Anhui University (KJTD001B, SKTD007B), the foundation for the young scholar of Anhui University (Grant No. 2009QN022B), and the undergraduate students’ innovative project of Anhui University (cxcy2012002).

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Authors and Affiliations

  1. School of Mathematical Science, Anhui University, Hefei, Anhui, 230601, China

    Zhifu Tao, Huayou Chen, Weiyuan Zou & Ligang Zhou

  2. School of Business, Anhui University, Hefei, Anhui, 230601, China

    Jinpei Liu

Authors
  1. Zhifu Tao
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  2. Huayou Chen
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  3. Weiyuan Zou
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  4. Ligang Zhou
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  5. Jinpei Liu
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Corresponding author

Correspondence to Huayou Chen .

Editor information

Editors and Affiliations

  1. School of Science, Anhui University of Science & Technology, Huainan, China

    Zhixiang Yin

  2. Huazhong University of Science and Technology, Wuhan, China

    Linqiang Pan

  3. Anhui University of Science & Technology, Huainan, China

    Xianwen Fang

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© 2013 Springer-Verlag Berlin Heidelberg

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Tao, Z., Chen, H., Zou, W., Zhou, L., Liu, J. (2013). A Generalized Multi-Attribute Group Decision Making with Intuitionistic Fuzzy Set. In: Yin, Z., Pan, L., Fang, X. (eds) Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013. Advances in Intelligent Systems and Computing, vol 212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37502-6_8

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  • DOI: https://doi.org/10.1007/978-3-642-37502-6_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37501-9

  • Online ISBN: 978-3-642-37502-6

  • eBook Packages: EngineeringEngineering (R0)

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