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Using Fuzzy Numbers for Modeling Series of Medical Measurements in a Diagnosis Support Based on the Dempster-Shafer Theory

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Artificial Intelligence and Soft Computing (ICAISC 2018)

Abstract

This work concern attempts to model imprecise symptoms in the medical diagnosis support tools. Patient’s self-check is very important, particularly in chronic diseases. In hypertension or diabetes patients record measurements. Still, these measurements are made in different circumstances, thus they are imprecise. A physician takes into account rather a trend in a series of measurements to diagnose a patient. Till now, knowledge engineers’ approach is different since they often use a single value as input information of a decision support system. In this work, a series of measurements is modeled as a fuzzy number. The main purpose of the presented approach is to check whether it is possible to replace a single measurement with a series of measurements in the diagnosis support system and to examine the impact of this change on the diagnosis process. Preliminary results show that use of the fuzzy number in determining the diagnosis may increase its certainty and can be profitable when used in real medical problems.

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References

  1. Casanovas, M., Merigo, J.M.: Fuzzy aggregation operators in decision making with Dempster-Shafer belief structure. Expert Syst. Appl. 39(8), 7138–7149 (2012)

    Article  Google Scholar 

  2. Chai, K.C., Tay, K.M., Lim, C.P.: A new method to rank fuzzy numbers using Dempster-Shafer theory with fuzzy targets. Inf. Sci. 346, 302–317 (2016)

    Article  Google Scholar 

  3. Esfandiari, N., Babavalian, M.R., Moghadam, A.-M.E., Tabar, V.K.: Knowledge discovery in medicine: current issue and future trend. Expert Syst. Appl. 41(9), 4434–4463 (2014)

    Article  Google Scholar 

  4. Ghasemini, J., Ghaderi, R., Mollaei, M.R.K., Hojjatoleslami, S.A.: A novel fuzzy Dempster-Shafer inference system for brain MRI segmentation. Inf. Sci. 223, 205–220 (2013)

    Article  Google Scholar 

  5. Hwang, C.M.: Belief and plausibility functions on intuitionistic fuzzy sets. Int. J. Intell. Syst. 31(6), 556–568 (2016)

    Article  Google Scholar 

  6. Ishizuka, M.: Inference procedures under uncertainty for the problem-reduction method. Inf. Sci. 28(3), 179–206 (1982)

    Article  MathSciNet  Google Scholar 

  7. Jiang, W., Yang, W., Luo, Y., Qin, X.Y.: Determining basic probabilisty assignment based on the improved similarity measures of generalized fuzzy numbers. Int. J. Comput. Commun. Control 10(3), 333–347 (2015)

    Article  Google Scholar 

  8. Liao, H., Xu, Z., Zeng, X.-J., Merigo, J.M.: Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets. Knowl. Based Syst. 76, 127–138 (2015)

    Article  Google Scholar 

  9. Ogawa, H., Fu, K.S., Yao, J.T.P.: An inexact inference for damage assessment of existing structures. Int. J. Man-Mach. Stud. 22(3), 295–306 (1985)

    Article  Google Scholar 

  10. Porebski, S., Straszecka, E.: Extracting easily interpreted diagnostic rules. Inf. Sci. 426, 19–37 (2018)

    Article  MathSciNet  Google Scholar 

  11. Porwik, P., Orczyk, T., Lewandowski, M., Cholewa, M.: Feature projection k-NN classifier model for imbalanced and incomplete medical data. Biocybern. Biomed. Eng. 36(4), 644–656 (2016)

    Article  Google Scholar 

  12. Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, New Jersey (1976)

    MATH  Google Scholar 

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

    Article  Google Scholar 

  14. Tang, H.: A novel fuzzy soft set approach in decision making based on grey relational analysis and Dempster-Shafer theory of evidence. Appl. Soft Comput. 31, 317–325 (2015)

    Article  Google Scholar 

  15. Wang, J., Hu, Y., Xiao, F., Deng, X., Deng, Y.: A novel method to use fuzzy soft sets in decision making based on ambiguity measure and Dempster-Shafer theory of evidence: an application in medical diagnosis. Artif. Intell. Med. 69, 1–11 (2016)

    Article  Google Scholar 

  16. Yager, R.R.: Generalized probabilities of fuzzy events from fuzzy belief structures. Inf. Sci. 28(192), 45–62 (1982)

    MathSciNet  MATH  Google Scholar 

  17. Yager, R.R.: On the fusion of imprecise uncertainty measures using belief structures. Inf. Sci. 181(15), 3199–3209 (2011)

    Article  MathSciNet  Google Scholar 

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Acknowledgements

This research is financed from the statutory funds (BKM-510/Rau-3/2017 & BK-232/Rau-3/2017) of the Institute of Electronics of the Silesian University of Technology, Gliwice, Poland.

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Correspondence to Sebastian Porebski .

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Porebski, S., Straszecka, E. (2018). Using Fuzzy Numbers for Modeling Series of Medical Measurements in a Diagnosis Support Based on the Dempster-Shafer Theory. In: Rutkowski, L., Scherer, R., Korytkowski, M., Pedrycz, W., Tadeusiewicz, R., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2018. Lecture Notes in Computer Science(), vol 10842. Springer, Cham. https://doi.org/10.1007/978-3-319-91262-2_20

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  • DOI: https://doi.org/10.1007/978-3-319-91262-2_20

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  • Online ISBN: 978-3-319-91262-2

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