Fuzzy special logic functions and applications

• Main Author: Chou, Te-Shun
• Format: Others
• Published: FIU Digital Commons 1992
• Subjects: Functions; Special; Fuzzy algorithms; Electrical and Computer Engineering; Engineering
• Online Access: http://digitalcommons.fiu.edu/etd/2347; http://digitalcommons.fiu.edu/cgi/viewcontent.cgi?article=3533&context=etd

In this thesis, four special logic functions (threshold functions, monotone increasing functions, monotone decreasing functions, and unate functions) are extended to more general functions which allows the activities of these special functions to be a "fuzzy" rather than a "1-or-O" process. These special logic functions are called as fuzzy special logic functions and are based on the concepts and techniques developed in fuzzy logic and fuzzy languages. The algorithms of determining C(n), Cmax(n) and generating the most dissimilar fuzzy special logic functions as well as important properties and results are investigated. Examples are given to illustrated these special logic functions. In addition, their applications -- function representation, data compression, error correction, and monotone flash analog to digital converter, their relationships, and fuzzy classification are also presented. It is obviously shown that fuzzy logic theory can be used successfully on these four special logic functions in order to normalize the grade of membership function μ in the interval [0 1]. As a result, the techniques described in this thesis may be of use in the study of other special logic functions and much fertile field work is great worth researching and developing.