Title :
Fuzzy monotone functions and applications
Author :
Chou, Te-Shun ; Lee, Edward T.
Author_Institution :
Overseas Coll. of Commerce, Taichung, Taiwan
Abstract :
The grade of membership function for fuzzy monotone functions is defined and investigated. An algorithm for finding the membership value is presented. A minterm even function and minterm odd function are defined and studied. It is found that these two functions are the two most alternation functions. The relationships with threshold functions are also presented. In addition, three ways to implement a fuzzy monotone increasing function are investigated. Applications to function representation, data compression, and error detection are illustrated. The results have useful applications in fuzzy logic, expert systems, fuzzy expert systems, as well as management of uncertainty
Keywords :
data compression; error detection; expert systems; fuzzy logic; fuzzy set theory; fuzzy systems; uncertainty handling; data compression; error detection; fuzzy expert systems; fuzzy logic; fuzzy monotone functions; membership function; minterm even function; minterm odd function; threshold functions; uncertainty handling; Boolean functions; Business; Data compression; Educational institutions; Expert systems; Fuzzy logic; Hybrid intelligent systems; Knowledge management; Uncertainty;
Conference_Titel :
Fuzzy Systems Proceedings, 1998. IEEE World Congress on Computational Intelligence., The 1998 IEEE International Conference on
Conference_Location :
Anchorage, AK
Print_ISBN :
0-7803-4863-X
DOI :
10.1109/FUZZY.1998.687598
