Abstract
This work presents an approach to deal with uncertainty in patient’s medical record. After giving a brief characterisation of possible sources of uncertainty in medical records, the paper introduces fuzzy set based approach that allows modelling of such information. First, heterogeneous data is converted to homogeneous model with the use of Feature Set structure. With such model uncertainty may be represented directly as Fuzzy Membership Function Families (FMFFs). Some theoretical results connecting FMFFs with Hesitant Fuzzy Sets and Type-2 Fuzzy Sets are also given.
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References
Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning—I. Inf. Sci. 8(3), 199–249 (1975)
Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)
Atanassov, K.: Intuitionistic Fuzzy Sets: Theory and Applications. Studies in Fuzziness and Soft Computing, vol. 35. Physica-Verlag, Heidelberg (1999)
Torra, V.: Hesitant fuzzy sets. Int. J. Intell. Syst. 25(6), 529–539 (2010)
John, R.: Type 2 fuzzy sets: an appraisal of theory and applications. Int. J. Uncertain. Fuzziness Knowl. Based Syst. 6(6), 563–576 (1998)
Mendel, J.M., John, R.B.: Type-2 fuzzy sets made simple. IEEE Trans. Fuzzy Syst. 10(2), 117–127 (2002)
Dubois, D., Prade, H.: Gradualness, uncertainty and bipolarity: making sense of fuzzy sets. Fuzzy Sets Syst. 192, 3–24 (2012)
Couso, I., Sánchez, L.: Machine learning models, epistemic set-valued data and generalized loss functions: an encompassing approach. Inf. Sci. 358, 129–150 (2016)
Bustince, H., Barrenechea, E., Pagola, M., Fernandez, J., Xu, Z., Bedregal, B., Montero, J., Hagras, H., Herrera, F., De Baets, B.: A historical account of types of fuzzy sets and their relationships. IEEE Trans. Fuzzy Syst. 24(1), 179–194 (2016)
Grattan-Guinness, I.: Fuzzy membership mapped onto intervals and many-valued quantities. Math. Log. Q. 22(1), 149–160 (1976)
Zadeh, L.A.: Quantitative fuzzy semantics. Inf. Sci. 3(2), 159–176 (1971)
Żywica, P., Wójtowicz, A., et al.: Improving medical decisions under incomplete data using interval-valued fuzzy aggregation. In: Proceedings of 9th European Society for Fuzzy Logic and Technology (EUSFLAT), Gijón, Spain, pp. 577–584 (2015)
Stachowiak, A., Żywica, P., Dyczkowski, K., Wójtowicz, A.: An interval-valued fuzzy classifier based on an uncertainty-aware similarity measure. In: Angelov, P., et al. (eds.) Intelligent Systems 2014. AISC, vol. 322, pp. 741–751. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-11313-5_65
Żywica, P., Dyczkowski, K., Wójtowicz, A., Stachowiak, A., Szubert, S., Moszyński, R.: Development of a fuzzy-driven system for ovarian tumor diagnosis. Biocybern. Biomed. Eng. 36(4), 632–643 (2016)
Dubois, D., Prade, H.: The three semantics of fuzzy sets. Fuzzy Sets Syst. 90(2), 141–150 (1997)
Moszyński, R., Żywica, P., et al.: Menopausal status strongly influences the utility of predictive models in differential diagnosis of ovarian tumors: an external validation of selected diagnostic tools. Ginekol. Pol. 85(12), 892–899 (2014)
Wójtowicz, A., Żywica, P., et al.: Dealing with uncertainty in ovarian tumor diagnosis. In: Atanassov, K., Homenda, W., et al. (eds.) Modern Approaches in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Volume II: Applications, SRI PAS, Warsaw, pp. 151–158 (2014)
Wójtowicz, A., Żywica, P., et al.: Solving the problem of incomplete data in medical diagnosis via interval modeling. Appl. Soft Comput. 47, 424–437 (2016)
Żywica, P.: Similarity measures of interval–valued fuzzy sets in classification of uncertain data. Applications in Ovarian Tumor Diagnosis, Ph.D. thesis, Faculty of Mathematics and Computer Science of Adam Mickiewicz University, in Polish, June 2016
Dyczkowski, K.: Intelligent Medical Decision Support System Based on Imperfect Information. SCI, vol. 735. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-67005-8
Mendel, J.M.: Tutorial on the uses of the interval type-2 fuzzy set’s Wavy Slice Representation Theorem. In: Proceedings of Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS), New York City, USA, pp. 1–6 (2008)
Mendel, J.M., John, R.I., Liu, F.: Interval type-2 fuzzy logic systems made simple. IEEE Trans. Fuzzy Syst. 14(6), 808–821 (2006)
Hughes, G.: On the mean accuracy of statistical pattern recognizers. IEEE Trans. Inf. Theor. 14(1), 55–63 (1968)
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This work was supported by the Polish National Science Centre grant number 2016/21/N/ST6/00316.
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Żywica, P. (2018). Modelling Medical Uncertainties with Use of Fuzzy Sets and Their Extensions. In: Medina, J., Ojeda-Aciego, M., Verdegay, J., Perfilieva, I., Bouchon-Meunier, B., Yager, R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications. IPMU 2018. Communications in Computer and Information Science, vol 855. Springer, Cham. https://doi.org/10.1007/978-3-319-91479-4_31
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