Abstract
The present paper proposes a diagnosis support inference in which input evidence are fuzzy sets. Diagnostic rules are formulated as fuzzy focal elements in the Dempster-Shafer theory. An inclusion measure is used to evaluate matching knowledge with evidence and to calculate belief of the diagnosis. Data simulated for two diagnostic situations show that the method allow for using linguistic values as a diagnostic information.
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References
Chen, S.-M., Yeh, M.-S., Hsiao, P.-Y.: A comparison of similarity measures of fuzzy values. Fuzzy Sets Syst. 72, 79–89 (1995)
Dempster, A.P.: A generalisation of Bayesian inference. J. Royal Stat. Soc. 30, 205–247 (1968)
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)
Rakus-Anderson E.: The parametric modification of fuzzy sets constituting a content of medical linguistic variables. In: Fuzzy Systems Conference, FUZZ-IEEE 2007, IEEE International, pp. 1-6 (2007)
Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)
Straszecka, E.: Combining uncertainty and imprecision in models of medical diagnosis. Inf. Sci. 176, 3026–3059 (2006)
Straszecka, E.: Combining knowledge from different sources. Expert Syst. 27(1), 40–52 (2010)
Yager, R.: Generalized probabilities of fuzzy events from fuzzy belief structures. Inf. Sci. 28, 45–62 (1982)
Yen, J.: Generalizing the Dempster-Shafer theory to fuzzy sets. IEEE Trans. Syst. Man Cybern. 20, 559–570 (1990)
Acknowledgement
This research was supported by statutory funds of the Institute of Electronics, Silesian University of Technology.
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Straszecka, E. (2018). Diagnostic Inference with the Dempster-Shafer Theory and a Fuzzy Input. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 643. Springer, Cham. https://doi.org/10.1007/978-3-319-66827-7_33
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DOI: https://doi.org/10.1007/978-3-319-66827-7_33
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