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:: Abstract


Prof. Michal Baczynski
Title: Overview of new families of fuzzy implications and their applications in fuzzy systems

 
The mathematical base of fuzzy systems is a multivalued logic, where among others, we use different generalisations of classical logic connectives. In our talk, we concentrate on analysing multivalued implications called fuzzy implications in the literature. This class of functions plays a significant role both in theory and applications, as can be seen from their use in, among others, approximate reasoning, fuzzy control, image processing, data analysis and multivalued mathematical logic.
 
We will review the different classical families of fuzzy implications, focusing primarily on their main properties and possible characterisations. Next, we analyse some new families of fuzzy implication functions; in particular, we present the preference implications and new weighted and mean-implication functions. We will show why these implications can be helpful for engineers and specialists who design and implement fuzzy systems.

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