Title	Evolving Fuzzy Systems: A Granular Computing Design Framework
Speaker	Prof. Witold Pedrycz
Chair	Bernadette Bouchon-Meunier

Abstract
In this presentation, we introduce a certain concept of evolving fuzzy rule-based models and elaborate on their design by engaging ideas of Granular Computing.

We develop a rule-based model whose design predominantly uses a direction-sensitive fuzzy clustering. In the sequel, the quality of such fuzzy models is quantified by admitting their generalization in the form of granular fuzzy models. Altogether, the signature of the fuzzy model is composed of the parameters of information granules forming the rules and positioned in the input and output space. It is shown how an evolution of the fuzzy model being formed in successive temporal windows can be described in terms of the dynamics of its signature (underlying information granules), which in turn may lead to the construct similar to the Kalman filter.

When evolving granular fuzzy models, discussed are a number of essential development issues: (a) coping with a variable input space, (b) handling adjustable level of granularity (number of rules) required in each temporal window leading to splitting or merging clusters and their subsequent adjustment, (c) formalizing fuzzy temporal time windows.

Biography
Witold Pedrycz is Professor and Canada Research Chair (CRC - Computational Intelligence) in the Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada. He is also with the Systems Research Institute of the Polish Academy of Sciences, Warsaw, Poland. He also holds an appointment of special professorship in the School of Computer Science, University of Nottingham, UK. In 2009 Dr. Pedrycz was elected a foreign member of the Polish Academy of Sciences. In 2012 he was elected a Fellow of the Royal Society of Canada. Witold Pedrycz has been a member of numerous program committees of IEEE conferences in the area of fuzzy sets and neurocomputing. In 2007 he received a prestigious Norbert Wiener award from the IEEE Systems, Man, and Cybernetics Council and in 2013 a Killam Prize. He is a recipient of the IEEE Canada Computer Engineering Medal 2008. In 2009 he has received a Cajastur Prize for Soft Computing from the European Centre for Soft Computing for “pioneering and multifaceted contributions to Granular Computing”.

His main research directions involve Computational Intelligence, fuzzy modeling and Granular Computing, knowledge discovery and data mining, fuzzy control, pattern recognition, knowledge-based neural networks, relational computing, and Software Engineering. He has published numerous papers in this area. He is also an author of 15 research monographs covering various aspects of Computational Intelligence and Software Engineering.

Dr. Pedrycz is intensively involved in editorial activities. He is an Editor-in-Chief of Information Sciences and Editor-in-Chief of IEEE Transactions on Systems, Man, and Cybernetics - Systems. He currently serves as an Associate Editor of IEEE Transactions on Fuzzy Systems and is a member of a number of editorial boards of other international journals.

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