Plenary Lecture

Probabilistic – Fuzzy Inference Procedure for Knowledge Based Diagnostic Systems

Professor Anna Walaszek-Babiszewska
Department of Control and Computer Engineering,
Opole University of Technology,
Sosnkowskiego 31, 45-272 OPOLE,
POLAND
E-mail: a.walaszek-babiszewska@po.opole.pl

Abstract: Probabilistic methods have a long history of applications to data analysis and statistical inference in many fields of human activities.
Zadeh’s theory of fuzzy systems, especially theory of approximate reasoning, gave the grounds for creating knowledge based systems, where human experiences and knowledge expressed in linguistic categories are prepared and used for the prediction, diagnosis or control.

In this work we present the methods of applications both, the sets of numerical data, collected in real systems, and expert’s experiences to modelling knowledge bases, by using linguistic fuzzy models with weights of rules.
A structure of the reason-result fuzzy model is predefined at the beginning of the task. Probability of fuzzy events has been used to formulate probabilities of the occurrence linguistic values of input and output variables in a product-space. Collected data are used to compute empirical probability distributions of linguistic variables.
The calculated probabilities of fuzzy events have been included into inference procedures. Diagnostic exemplary calculations are presented.



Brief Biography of the Speaker:
Anna Walaszek-Babiszewska, at present, is a professor at the Opole University of Technology, Department of Control and Computer Engineering. She has obtained a MSc degree in Control Engineering from the Wroclaw University of Technology and a PhD as well as a DSc (Habilitation) degrees from the Silesian University of Technology in Gliwice, Poland.
Her research interests include stochastic modeling, fuzzy systems, data analysis, and applications in technological and managerial situations.
She has supervised 3 completed PhDs and reviewed 5 PhDs in technical and economic sciences. She has published 2 monographic books on stochastic and fuzzy modeling and over 80 scientific papers.
She is a member of the Editorial Boards of Management (since 2000) and of Lecture Notes in Control and Computer Science (in 2003) of the University of Zielona Gora Press. She is a member of the Section of Cybernetics in Mining, Mining Committee of the Polish Academy of Sciences (since 1999).