Titlebook: Goguen Categories; A Categorical Approa Michael Winter Book 2007 Springer Science+Business Media B.V. 2007 Allegories.Categories.Computer s

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Dmitry V. Dylov,Jason W. FleischerIn this chapter we want to introduce basic concepts from lattice theory we will need throughout this book. For a comprehensive introduction to this theory we refer to [4, 16, 29].

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Lattices,In this chapter we want to introduce basic concepts from lattice theory we will need throughout this book. For a comprehensive introduction to this theory we refer to [4, 16, 29].

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L-Fuzzy Relations,As mentioned in the introduction, for a complete Brouwerian lattice . an .fuzzy relation . between two nonempty sets . and . is a function from . to .. Notice, if . = B, we get the set of regular binary relations between . and .. Therefore, we also use the denotation . : . to indicate that an .-fuzzy relation R has source . and target ..

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Michael WinterRigorous application of formal logics to fuzzy concepts.A mathematical introduction to fuzzy concepts for researchers in formal logics.Unique approach to formal semantics of fuzzy controllers

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