Abstract
The paper presents the analysis and application of hierarchical fuzzy system to the problem of evaluation/measurement of the rehabilitation effects in post-stroke patients. Healthy people constitute reference group. Prevalence and impact of the stroke-related disorders on Health-Related Quality of Life (HRQoL) as a recognized and important outcome after stroke is huge. Quick, valid and reliable assessment of HRQoL in people after stroke constitutes a worldwide significant problem for scientists and clinicians - there are many tools, but no one fulfills all requirements or has prevailing advantages. Evaluation model presented here is improved version of earlier attempts and applies the potential of fuzzy systems for linguistic modeling of rules. It provides a great advantage as there are experienced clinicians working on the improvement of the rehabilitation methods but there is no intuitive formal model to measure their effects. The innovative element here is the use of Ordered Fuzzy Number model. It is a good tool for modeling the trends in information used to create the fuzzy rules of small fuzzy systems which together form a hierarchical fuzzy evaluation model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Buckley, J.J., Eslami, E.: Advances in Soft Computing: An Introduction to Fuzzy Logic and Fuzzy Sets. Physica-Verlag GmbH, Heidelberg (2002)
Czerniak, J.M., Dobrosielski, W.T., Iwona, F.: Some cases of comparing fuzzy numbers using defuzzificators on the catalog of ofn shapes. In: Prokopowicz, P., et al. (eds.) Theory and Applications of Ordered Fuzzy Numbers: A Tribute to Professor Witold Kosński. Studies in Fuzziness and Soft Computing, vol. 356. Springer (2017, in print)
Dubois, D., Prade, H.: Operations on fuzzy numbers. Int. J. Syst. Sci. 9(6), 613–626 (1978)
Dubois, D., Prade, H.: Gradual inference rules in approximate reasoning. Inf. Sci. 61(1), 103–122 (1992)
Hüllermeier, E.: Association rules for expressing gradual dependencies. In: Elomaa, T., Mannila, H., Toivonen, H. (eds.) Principles of Data Mining and Knowledge Discovery. PKDD 2002, pp. 200–211. Springer, Heidelberg (2002)
Klimkiewicz, P., Kubsik, A., Woldańska-Okońska, M.: NDT-Bobath method used in the rehabilitation of patients with a history of ischemic stroke. Wiad. Lek. 65(2), 102–107 (2012)
Kollen, B.J., Lennon, S., Lyons, B., Wheatley-Smith, L., Scheper, M., Buurke, J.H., Halfens, J., Geurts, A.C., Kwakkel, G.: The effectiveness of the Bobath concept in stroke rehabilitation: what is the evidence? Stroke 40(4), 89–97 (2009)
Kosiński, W., Prokopowicz, P., Rosa, A.: Defuzzification functionals of ordered fuzzy numbers. IEEE Trans. Fuzzy Syst. 21(6), 1163–1169 (2013)
Kosiński, W., Prokopowicz, P., Kacprzak, D.: Fuzziness - representation of dynamic changes by ordered fuzzy numbers. In: Seising, R. (ed.) Views on Fuzzy Sets and Systems from Different Perspectives: Philosophy and Logic, Criticisms and Applications, pp. 485–508. Springer, Heidelberg (2009)
Kosiński, W., Prokopowicz, P., Ślȩzak, D.: Ordered fuzzy numbers. Bull. Polish Acad. Sci. Math. 51(3), 327–338 (2003)
Kosiński, W., Prokopowicz, P., Ślȩzak, D.: On algebraic operations on fuzzy numbers. In: Kłopotek, M.A., et al. (eds.) Intelligent Information Processing and Web Mining: Proceedings of the International IIS: IIPWM 2003 Conference Held in Zakopane, Poland, 2–5 June 2003, pp. 353–362. Springer, Heidelberg (2003)
Lee, M.L., Chung, H.Y., Yu, F.M.: Modeling of hierarchical fuzzy systems. Fuzzy Sets Syst. 138(2), 343–361 (2003)
Mikołajewska, E.: NDT-Bobath method in normalization of muscle tone in post-stroke patients. Adv. Clin. Exp. Med. 21(4), 513–517 (2012)
Mikołajewska, E.: Associations between results of post-stroke NDT-Bobath rehabilitation in gait parameters, ADL and hand functions. Adv. Clin. Exp. Med. 22(5), 731–738 (2013)
Mikołajewska, E., Prokopowicz, P., Mikołajewski, D.: Computational gait analysis using fuzzy logic for everyday clinical purposes - preliminary findings. Bio-Algorithms Med-Syst. 13(1), 37–42 (2017)
Pedrycz, W., Gomide, F.: An Introduction to Fuzzy Sets: Analysis and Design. With a Foreword by Lotfi A. Zadeh. MIT Press, Cambridge (1998)
Pickard, A.S., Johnson, J.A., Feeny, D.H.: Responsiveness of generic health-related quality of life measures in stroke. Qual. Life Res. 14(1), 207–219 (2005)
Prokopowicz, P.: Adaptation of rules in the fuzzy control system using the arithmetic of ordered fuzzy numbers. In: Rutkowski, L., et al. (eds.) Artificial Intelligence and Soft Computing - ICAISC 2008. LNCS, vol. 5097, pp. 306–316. Springer, Heidelberg (2008)
Prokopowicz, P.: Analysis of the changes in processes using the Kosinski’s fuzzy numbers. Ann. Comput. Sci. Inf. Syst. 8, 121–128 (2016). IEEE
Prokopowicz, P.: The directed inference for the Kosinski’s fuzzy number model. In: Proceedings of the Second International Afro-European Conference for Industrial Advancement AECIA 2015, pp. 493–503. Springer International (2016)
Prokopowicz, P.: Processing the direction with ordered fuzzy numbers. In: Prokopowicz, P., et al. (eds.) Theory and Applications of Ordered Fuzzy Numbers: A Tribute to Professor Witold Kosiński. Studies in Fuzziness and Soft Computing, vol. 356. Springer (2017, in print)
Prokopowicz, P., Czerniak, J., Mikołajewski, D., Apiecionek, Ł., Ślȩzak, D.: Theory and Applications of Ordered Fuzzy Numbers: A Tribute to Professor Witold Kosiński. Studies in Fuzziness and Soft Computing, vol. 356. Springer (2017) (in print)
Prokopowicz, P., Golsefid, S.: Aggregation operator for ordered fuzzy numbers concerning the direction. In: Rutkowski, L., et al. (eds.) Artificial Intelligence and Soft Computing. LNCS, vol. 8467, pp. 267–278. Springer International, Cham (2014)
Prokopowicz, P., Mikolajewska, E., Mikolajewski, D., Kotlarz, P.: Fuzzy system as an assessment tool for analysis of the health-related quality of life for the people after stroke. In: Rutkowski, L., et al. (eds.) Artificial Intelligence and Soft Computing. LNAI, vol. 10245, pp. 710–721. Springer, Cham (2017)
Prokopowicz, P., Mikolajewska, E., Mikolajewski, D., Kotlarz, P.: Traditional vs ofn-based analysis of temporo-spatial gait parameters. In: Prokopowicz, P., et al. (eds.) Theory and Applications of Ordered Fuzzy Numbers: A Tribute to Professor Witold Kosński. Studies in Fuzziness and Soft Computing, vol. 356. Springer (2017) (in print)
Prokopowicz, P., Pedrycz, W.: The directed compatibility between ordered fuzzy numbers - a base tool for a direction sensitive fuzzy information processing. In: Rutkowski, L., et al. (eds.) Artificial Intelligence and Soft Computing. LNCS, vol. 9119, pp. 249–259. Springer International, Cham (2015)
Raju, G.V.S., Zhou, J., Kisner, R.A.: Hierarchical fuzzy control. Int. J. Control 54(5), 1201–1216 (1991)
Torra, V.: A review of the construction of hierarchical fuzzy systems. Int. J. Intell. Syst. 17(5), 531–543 (2002)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Prokopowicz, P., Mikołajewski, D., Mikołajewska, E., Tyburek, K. (2018). Modeling Trends in the Hierarchical Fuzzy System for Multi-criteria Evaluation of Medical Data. 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_19
Download citation
DOI: https://doi.org/10.1007/978-3-319-66827-7_19
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-66826-0
Online ISBN: 978-3-319-66827-7
eBook Packages: EngineeringEngineering (R0)