Fuzzy monotone functions and applications

TitleFuzzy monotone functions and applications
Publication TypeJournal Article
Year of Publication2001
AuthorsLee, E. T., and T. S. Chou
JournalKybernetes
Volume30
Pagination84–97
ISSN0368-492X
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, and also management of uncertainty.

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