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Fuzzy Logic: An Analysis Of Logical Connectives And Their Characterizations, John F. Hamman
Fuzzy Logic: An Analysis Of Logical Connectives And Their Characterizations, John F. Hamman
Dissertations and Theses @ UNI
The focus of this thesis is to determine exactly which functions serve as appropriate fuzzy negation, conjunction and disjunction functions. To this end, the first chapter serves as motivation for why fuzzy logic is needed, and includes an original demonstration of the inadequacy of many valued logics to resolve the sorites paradox. Chapter 2 serves as an introduction to fuzzy sets and logic. The canonical fuzzy set of tall men is examined as a motivating example, and the chapter concludes with a discussion of membership functions.
Four desirable conditions of the negation function are given in Chapter 3, but it …