Abstract: Probabilistic methods have a long history of applications to data analysis and statistical inference in many fields of human activities, also for prediction and diagnosis. Zadeh’s theory of fuzzy systems, especially theory of approximate reasoning, gave the grounds for creating the knowledge based systems, where human knowledge and experiences expressed in linguistic categories are prepared and used for the prediction, diagnosis or control.
According to many authors, uncertainty is the central, critical fact in medical reasoning. Many applications of knowledge based medical systems confirm, that fuzzy set theory is very suitable for expressing uncertainty of symptoms, reasons, and for creating the inference, diagnostic procedure.
In this work we present the methods of applications both, the sets of numerical data collected in real systems, as well as, expert’s experiences to modelling knowledge bases, by using linguistic fuzzy models and the probability theory of fuzzy events. A structure of the reason-result fuzzy model is predefined at the beginning of the task. Collected data are used to compute empirical probability distributions of linguistic variables. The calculated probabilities of fuzzy events have been included into inference procedures. The exemplary calculations are presented.

Brief Biography of the Speaker:
Anna Walaszek-Babiszewska was born in Wroclaw, Poland. She received M. Sc. degree (1970) in Control Engineering from the Technical University of Wroclaw, Poland. Since 1970 she has been with the Silesia University of Technology, Gliwice, Poland, where she received Ph. D. and D. Sc. (Habilitation) degrees in 1980 and 1994, respectively. At present, she is a professor at the Opole University of Technology, Department of Control and Computer Engineering, Opole, Poland.
Her research interests include: stochastic and fuzzy modeling, knowledge-based systems, systems identification, data analysis, and applications in technological and managerial situations.
She has supervised 4 and reviewed 5 Ph.D dissertations in engineering and economic sciences. She has published 4 monographic books on stochastic and fuzzy modeling and over 90 scientific papers (the book on ‘Fuzzy modeling in stochastic environment’ is just publishing by LAP LAMBERT Academic Publishing).
She was a member of the Management Editorial Board (2000-2005) and the Lecture Notes in Control and Computer Science Editorial Board (2003) of the Zielona Gora University Press, Zielona Gora, Poland. She was a member of the Section of Cybernetics in Mining, Mining Committee of the Polish Academy of Sciences (1999-2011).