Abstract
Arrow categories as a suitable categorical and algebraic description of -fuzzy relations have been used to specify and describe fuzzy controllers in an abstract manner. The theory of arrow categories has also been extended to include higher-order fuzziness. In this paper we use this theory in order to develop an appropriate description of type-2 fuzzy controllers. An overview of the relational representation of a type-1 fuzzy controller is given before discussing the extension to a type-2 controller. We discuss how to model type reduction, an essential component of any type-2 controller. In addition, we provide a number of examples of general type reducers. © 2014 Springer International Publishing.
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CITATION STYLE
Winter, M., Jackson, E., & Fujiwara, Y. (2014). Type-2 fuzzy controllers in arrow categories. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8428 LNCS, pp. 293–308). Springer Verlag. https://doi.org/10.1007/978-3-319-06251-8_18
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