Abstract
The foundation of fuzzy logic is the fuzzy set. This chapter gives some basic concepts of fuzzy sets. It takes two things to specify a fuzzy set: the members of the set and each member's degree of membership in the set. The shape of membership functions is arbitrary. The chapter presents some concepts for fuzzy sets including support, height, normal fuzzy set and convex fuzzy set. It also gives some of the more often-used operations on fuzzy sets. These include Fuzzy Subset, Fuzzy Compliment, Fuzzy Intersection, Fuzzy Union and Fuzzy Cartesian Product. Another type of fuzzy set that is used extensively in fuzzy systems is the singleton fuzzy set. The characterization of certain quantities as members of singleton fuzzy sets is very useful for fuzzification and certain output fuzzy sets. Controlled Vocabulary Terms fuzzy logic; fuzzy set theory; fuzzy systems
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