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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 559))

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Abstract

The Dempster-Shafer theory can be extended for fuzzy focal elements. When knowledge from different sources is combined, membership functions of the elements should be also joined. The paper suggests a combination of knowledge by means of the conjunction of data-driven membership functions. A discussion on an influence of the combination on the basic probability assignment is provided. The method can be helpful for medical knowledge transfer.

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References

  1. Dempster, A.P.: A generalisation of Bayesian inference. J. Royal Stat. Soc. 30, 205–247 (1968)

    MATH  Google Scholar 

  2. Han, D., Dezert, J., Yang, Y.: Evaluations of evidence combination rules in terms of statistical sensitivity and divergence. In: Proceedings of the FUSION, pp. 1–7 (2014)

    Google Scholar 

  3. Jousselme, A.-L., Maupin, P.: Distances in evidence theory: comprehensive survey and generalizations. Int. J. Approximate Reasoning 53, 118–145 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  4. Lee, S.H., Pedrycz, W.: Design of similarity measures for fuzzy sets on the basis of distance measure. Int. J. Fuzzy Syst. 11(2), 67–72 (2009)

    MathSciNet  Google Scholar 

  5. Shafer, G.: A mathematical theory of evidence. Princeton University Press, Princeton, New Jersey (1976)

    MATH  Google Scholar 

  6. Straszecka, E.: Combining uncertainty and imprecision in models of medical diagnosis. Inf. Sci. 176, 3026–3059 (2006)

    Article  MathSciNet  Google Scholar 

  7. Straszecka, E.: Combining knowledge from different sources. Expert Syst. 27(1), 40–52 (2010)

    Article  Google Scholar 

  8. Straszecka, E.: Suggestions to make Dempster’s rule convenient for knowledge combining. In: Atanassov, K.T., et al. (eds.) Novel Developments in Uncertainty Representation and Processing, Advances in Intelligent Systems and Computing 401, 17–27 (2016)

    Google Scholar 

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Acknowledgement

This research was supported by statutory funds (BK–220/RAu-3/2016) of the Institute of Electronics, Silesian University of Technology.

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Correspondence to Ewa Straszecka .

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Straszecka, E. (2018). On Fuzzy Focal Elements Combining. In: Atanassov, K., et al. Uncertainty and Imprecision in Decision Making and Decision Support: Cross-Fertilization, New Models and Applications. IWIFSGN 2016. Advances in Intelligent Systems and Computing, vol 559. Springer, Cham. https://doi.org/10.1007/978-3-319-65545-1_2

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  • DOI: https://doi.org/10.1007/978-3-319-65545-1_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-65544-4

  • Online ISBN: 978-3-319-65545-1

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