Skip to main content
Log in

Multiple Attribute Variable Weight Fuzzy Decision-Making Based on Optimistic Coefficient Method

  • Published:
International Journal of Fuzzy Systems Aims and scope Submit manuscript

Abstract

This paper first discusses the establishment of multi-attribute decision problem model and the determination of weights. Then this paper points out a situation that the method of updating weights using the fixed weight vector cannot effectively describe the weights’ variation when the state vector is continuously changing. To get rid of this problem, an iterative weight updating method is proposed. Finally, based on the existing optimistic coefficient method, the influence of high-order terms is discussed: updating weights with the fixed weight vector and updating weights with iteration. Experiments show that the higher-order terms in the state variable weight vector have a negative effect on the decision result.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Xu, J., Wu, W.: Multiple Attribute Decision Making Theory and Method. Tsinghua University Press, Beijing (2006)

    Google Scholar 

  2. Keeney, R.L., Raiffa, H.: Decision with Multiple Objectives: Preference and Value Tradeoff. Wiley, New York (1993)

    Book  Google Scholar 

  3. Winterfeldt, D.V., Edwards, W.: Decision Analysis and Behavioral Research. Cambridge University Press, Cambridge (1986)

    Google Scholar 

  4. Li, D., Li, H.: Analysis of variable weights effect and selection of appropriate state variable weights vector in decision making. Control Decis. 11, 1241–1245 (2004)

    MathSciNet  MATH  Google Scholar 

  5. Li, H.: Factor space and mathematical frame of knowledge representation—variable weights analysis. Fuzzy Syst. Math. 03, 1–9 (1995)

    Article  Google Scholar 

  6. Wang, P., Sugeno, M.: The factors field and background structure for fuzzy subsets. Fuzzy Math. 2, 45–54 (1982)

    MathSciNet  Google Scholar 

  7. Li, D., Li, H.: The properties and construction of state variable weight vectors. J. Beijing Normal Univ. (Nat. Sci.) 04, 455–461 (2002)

    MathSciNet  MATH  Google Scholar 

  8. Li, C., Li, M., Ma, H., Du, Y., Li, J.: Model and method of multiple attribute decision making with relative variable weights. Chin. J. Manag. Sci. 22(5), 104–114 (2014)

    Google Scholar 

Download references

Acknowledgements

This work is supported by the Science, Technology and Innovation Commission of Shenzhen Municipality (No. JCYJ20170815161351983), and the National Natural Science Foundation of China (No. 61671379).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yongfeng Zhi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sun, P., Chen, S. & Zhi, Y. Multiple Attribute Variable Weight Fuzzy Decision-Making Based on Optimistic Coefficient Method. Int. J. Fuzzy Syst. 23, 573–583 (2021). https://doi.org/10.1007/s40815-020-01020-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40815-020-01020-7

Keywords

Navigation