Skip to main content
SpringerLink
Log in

\({\fancyscript{B}}\) -Valued fuzzy variable

  • Original Paper
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

In this paper, the concept of \({\fancyscript{B}}\) -valued fuzzy variable is first presented. Then, some mathematical properties of \({\fancyscript{B}}\) -valued fuzzy variable are also investigated, including independence, identical distribution, expected value, variance, inequalities, convergence concepts, and so on.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Gao J (2007). Credibilitic game with fuzzy information. J Uncertain Syst 1(1): 74–80

    Google Scholar 

  • Laha RG and Rohatgi VK (1979). Probability Theory. Wiley, New York

    MATH  Google Scholar 

  • Liu B (2004). Uncertainty theory: An introduction to its axiomatic foundations. Springer, Berlin

    MATH  Google Scholar 

  • Liu B (2006). A survey of credibility theory. Fuzzy Optim Decis Making 5(4): 387–408

    Article  Google Scholar 

  • Liu B (2007). A survey of entropy of fuzzy variables. J Uncertain Syst 1(1): 4–13

    Google Scholar 

  • Liu B and Liu Y-K (2002). Expected value of fuzzy variable and fuzzy expected value model. IEEE Trans Fuzzy Syst 10(4): 445–450

    Article  Google Scholar 

  • Li X and Liu B (2006). A sufficient and necessary condition for credibility measures. Int J Uncertain Fuzziness Knowl Based Syst 14(5): 527–535

    Article  MATH  Google Scholar 

  • Liu YK and Gao J (2007). The independence of fuzzy variables with applications to fuzzy random optimization. Int J Uncertain Fuzziness Knowl Based Syst 15: 1–19

    Article  MathSciNet  MATH  Google Scholar 

  • Liu J and Zhu Y (2007). Some inequalities between moments of credibility distributions. J Uncertain Syst 1(2): 137–147

    Google Scholar 

  • Loève M (1977). Probability theory I, 4th edn. Springer, Heidelberg

    MATH  Google Scholar 

  • Nahmias S (1978). Fuzzy variable. Fuzzy Sets Syst 1: 97–110

    Article  MathSciNet  MATH  Google Scholar 

  • Yang LX and Liu LZ (2007). Fuzzy fixed charge solid transportation problem and algorithm. Appl Soft Comp 7: 879–889

    Article  Google Scholar 

  • Yang LX, Ji XY, Gao ZY and Li KP (2007). Logistics distribution centers location problem and algorithm under fuzzy environment. J Comput Appl Math 208: 303–315

    Article  MathSciNet  MATH  Google Scholar 

  • Zadeh LA (1965). Fuzzy sets. Inf Control 8: 338–353

    Article  MathSciNet  MATH  Google Scholar 

  • Zadeh LA (1978). Fuzzy sets as a basis for a theory possibility. Fuzzy Sets Syst 1: 3–28

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, 100044, China

    Lixing Yang & Keping Li

Authors
  1. Lixing Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Keping Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Lixing Yang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, L., Li, K. \({\fancyscript{B}}\) -Valued fuzzy variable. Soft Comput 12, 1081–1088 (2008). https://doi.org/10.1007/s00500-007-0275-7

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-007-0275-7

Keywords

Search

Navigation