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Chapter 4
Fundamental Concepts
of Fuzzy Logic
Fuzzy logic is a form or system of logic. Like Boolean logic, it is based on set
theory. The sets in fuzzy logic, however, have degrees of membership. This
slight change in the definition of a set has significant and far-reaching impli-
cations for knowledge representation and chains of reasoning. This chapter
examines the differences between Boolean and fuzzy logic sets, explores the
various operators that can be applied to both sets (and how such operators
differ) and discusses operations that only make sense for fuzzy sets (such
as hedges and alpha cut thresholds). Understanding the nature of fuzzy sets
and fuzzy logic is crucial in understanding not only the clustering and rule
induction techniques