Title :
Continuous fuzzy conjunctions and disjunctions
Author_Institution :
Anal. & Appl. es. Div., Tracor Applied Sci., Austin, TX, USA
fDate :
8/1/1996 12:00:00 AM
Abstract :
Several functions have been used to implement conjunction and disjunction in fuzzy logic and to implement intersection and union in fuzzy set theory. Usually t-norms and t-conorms are used, but for some applications these may not be the best function classes. In this paper, I propose specific requirements which a function should satisfy if it is to be used to implement conjunction (or intersection) or disjunction (or union) and compare the functions proposed for conjunction to t-norms. In addition to stating basic properties of the resulting function classes, I give theorems on polynomial approximation within each class and on the existence of functions in either class with specified values at particular points
Keywords :
approximation theory; fuzzy logic; fuzzy set theory; polynomials; truth maintenance; continuous fuzzy conjunctions; disjunctions; fuzzy logic; fuzzy set theory; polynomial approximation; t-norms; truth values; Clustering algorithms; Fuzzy logic; Fuzzy set theory; Helium; Polynomials; Research and development; Set theory; Target tracking;
Journal_Title :
Fuzzy Systems, IEEE Transactions on