Fuzzy Set Theory

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Abstract

Relevant concepts of fuzzy set theory are introduced in this chapter to make the book self-contained. The focus is on standard fuzzy sets, but an overview of well-known nonstandard fuzzy sets is also included. The following concepts are covered for standard fuzzy sets: ?>-cut representation, operations on fuzzy sets, fuzzy numbers and fuzzy arithmetic, fuzzy relations, approximate reasoning, and basic ideas regarding fuzzy systems.