Fuzzy monotone functions and applications
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.
Keywords
Citation
Lee, E.T. and Chou, T. (2001), "Fuzzy monotone functions and applications", Kybernetes, Vol. 30 No. 1, pp. 84-97. https://doi.org/10.1108/03684920110363923
Publisher
:MCB UP Ltd
Copyright © 2001, MCB UP Limited