Title :
T-algebras as predictors
Author :
Barone, Joseph M.
Author_Institution :
321 East 43rd Street, #209, New York, 10017 USA
Abstract :
Monads and their t-algebras have been studied as an important link between categories and universal algebra. Monads of fuzzy sets, that is, monads which are mappings from sets to complete Heyting algebras, have also been studied for some time (see, e.g.,). This paper reviews two important kinds of monads in this category, singleton monads and fuzzy theories. It is shown that fuzzy theories may have considerable value as a foundation for fuzzy time series forecasting and even directly as a forecasting method.
Keywords :
algebra; fuzzy set theory; time series; Heyting algebra; fuzzy set theory; fuzzy time series forecasting method; singleton monad; t-algebra; universal algebra; Algebra; Cloning; Electrostatic precipitators; Fuzzy logic; Fuzzy sets; Information processing;
Conference_Titel :
Fuzzy Information Processing Society, 2009. NAFIPS 2009. Annual Meeting of the North American
Conference_Location :
Cincinnati, OH
Print_ISBN :
978-1-4244-4575-2
Electronic_ISBN :
978-1-4244-4577-6
DOI :
10.1109/NAFIPS.2009.5156436
