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A Rule-Based Inference Method Using Dempster–Shafer Theory

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Knowledge Engineering and Management

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 278))

Abstract

The Dempster–Shafer theory of evidence for attribute aggregation provides a method to deal with uncertainty reasoning. In this paper, uncertainty reasoning method based on rule-base with certainty interval is investigated. First, knowledge representation with interval uncertainty is defined and the matching principle is given. Then, a rule-based inference method under interval numbers using Dempster–Shafer theory is derived. A numerical example is examined to show the implementation process of the proposed method.

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References

  1. Chen W, Chen C (2010) Knowledge engineering and knowledge management. Tsinghua University Press, Beijing

    Google Scholar 

  2. Buchanan BG, Shortliffe EH (1984) Rule-based expert systems reading. Addison-Wesley, Boston

    Google Scholar 

  3. Lopez de Mantaras R (1990) Approximate reasoning models. Ellis Horwood Limited, Chichester

    Google Scholar 

  4. Yang J, Liu J, Wang J et al (2006) Belief rule-base inference methodology using the evidential reasoning approach–RIMER. IEEE Trans Syst Man Cybern Part A Syst Hum 36(2):266–285

    Google Scholar 

  5. Yager RR, Liu L (eds) (2008) Classic works of the dempster-shafer theory of belief functions. Springer, Berlin

    MATH  Google Scholar 

  6. Ishihuchi H, Tanaka H (1990) Multiobjective programming in optimization of the interval objective function. Eur J Oper Res 48:219–225

    Article  Google Scholar 

  7. Tran L, Duckstein L (2002) Comparison of fuzzy numbers using a fuzzy distance measure. Fuzzy Sets Syst 130:331–341

    Article  MATH  MathSciNet  Google Scholar 

  8. Wang G, Zhou H (2009) Introduction to mathematical logic and resolution principle 2nd edn. Science Press, Beijing

    Google Scholar 

  9. Calzada A, Liu J, Wang H et al (2011) An intelligent decision support tool based on belief rule-based inference methodology. In: IEEE international conference on fuzzy systems, Taipei, 27–30 June 2011, 2638–2643

    Google Scholar 

  10. Yang G, Li X, Wang W et al (2012) Customer satisfaction survey based on evidential reasoning approach with belief intervals. J Ind Eng Manag 26(1):27–34

    Google Scholar 

  11. Couso I, Garrido L, Sánchez L (2013) Similarity and dissimilarity measures between fuzzy sets: a formal relational study. Inf Sci 229:122–141

    Article  Google Scholar 

  12. Yang J, Singh MG (1994) An evidential reasoning approach for multiple-attribute decision making with uncertainty. IEEE Trans Syst Man Cybern 24(1):1–18

    Article  Google Scholar 

  13. Zadeh LA (1975) Calculus of fuzzy restriction, In: Zadeh LA et al (eds) Fuzzy sets and their applications to cognitive and decision processes. Academic Press, New York

    Google Scholar 

  14. Zhang Q, Xu H (2012) Research on early-warning expert system for security of grain storage based on uncertain inference. Comput Dig Eng 40(2):79–82

    Google Scholar 

  15. Zhang W, Liang Y, Xu P (2007) Uncertainty reasoning based on inclusion degree. Tsinghua University Press, Beijing, p 3

    Google Scholar 

  16. Luo X, Cai J, Qiu Y (1994) A new interval-based uncertainty reasoning model. J Southwest China Normal Univ 19(6):591–600

    Google Scholar 

  17. Hu Z, Shen T, Li G et al (2009) Interference finding expert system based on case reasoning and rule reasoning. Comput Eng 35(18):185–190

    Google Scholar 

Download references

Acknowledgment

This work is supported by the National Science Foundation of China (Grant No. 61175055), Sichuan Key Technology Research and Development Program (Grant No. 2011FZ0051), Radio Administration Bureau of MIIT of China (Grant No. [2011] 146), China Institution of Communications (Grant No. [2011] 051).

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Correspondence to Liuqian Jin .

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© 2014 Springer-Verlag Berlin Heidelberg

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Jin, L., Xu, Y. (2014). A Rule-Based Inference Method Using Dempster–Shafer Theory. In: Wen, Z., Li, T. (eds) Knowledge Engineering and Management. Advances in Intelligent Systems and Computing, vol 278. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54930-4_7

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  • DOI: https://doi.org/10.1007/978-3-642-54930-4_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-54929-8

  • Online ISBN: 978-3-642-54930-4

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