Abstract
This chapter presents a chain of notions and issues whose importance for fuzzy logic and, especially, for fuzzy logic in the narrow sense is absolutely fundamental. We begin with fuzzy relations and their types with special reference to similarity measures. The next subject will be elements of approximate reasoning, including fuzzy conditional statements and the compositional rule of inference. Finally, we will show the idea of fuzzy control and fuzzy rule-based systems. Questions of rule bases, fuzzification, inference, and defuzzification of results will be discussed and illustrated by simple examples.
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© 2013 Springer-Verlag Berlin Heidelberg
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Wygralak, M. (2013). Fuzzy Relations, Approximate Reasoning, Fuzzy Rule-Based Systems. In: Intelligent Counting Under Information Imprecision. Studies in Fuzziness and Soft Computing, vol 292. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34685-9_5
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DOI: https://doi.org/10.1007/978-3-642-34685-9_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34684-2
Online ISBN: 978-3-642-34685-9
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