Goguen Categories

Michael Winter

This paper is a survey of the theory of Goguen categories which establishes a suitable categorical description of L-fuzzy relations, i.e., of relations taking values from an arbitrary complete Brouwerian lattice L instead of the unit interval [0,1] of the real numbers. In particular, we concentrate on representability, the existence of crisp versions of several categorical constructions, and operations derived from suitable binary functions on the underlying lattice of scalar elements, i.e., on the abstract counterpart of L.

Journal on Relation Methods in Computer Science, Vol. 1, pp. 339-357, 2004

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