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., [3-4]). 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.

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