Goguen categories. A categorical approach to \(L\)-fuzzy relations

zbMath1261.03154MaRDI QIDQ2473792

Michael Winter

Publication date: 5 March 2008

Published in: Trends in Logic -- Studia Logica Library (Search for Journal in Brave)

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37) Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations (03-02) Logical aspects of lattices and related structures (03G10) Relational systems, laws of composition (08A02) Other classical set theory (including functions, relations, and set algebra) (03E20) Research exposition (monographs, survey articles) pertaining to ordered structures (06-02) Research exposition (monographs, survey articles) pertaining to general algebraic systems (08-02)

Related Items (23)

Categories with fuzzy sets and relations ⋮ Dependencies in relational models of databases ⋮ Point Axioms in Dedekind Categories ⋮ Relation Algebras, Matrices, and Multi-valued Decision Diagrams ⋮ Relations in linear algebra ⋮ Cardinality functions in allegories ⋮ Categories of relations for variable-basis fuzziness ⋮ Sharpness in the Fuzzy World ⋮ Partiality. II: Constructed relation algebras ⋮ Determinisation of Relational Substitutions in Ordered Categories with Domain ⋮ Cardinality in Allegories ⋮ A survey of categorical properties of \(\mathbb{L}\)-fuzzy relations ⋮ Relational algebraic approach to the real numbers the additive group ⋮ A general method for representing sets of relations by vectors ⋮ Relational sums and splittings in categories of \(L\)-fuzzy relations ⋮ Change of base using arrow categories ⋮ On the algebraic structure of binary lattice-valued fuzzy relations ⋮ Dedekind categories with cutoff operators ⋮ Ambiguous representations as fuzzy relations between sets ⋮ Membership values in arrow categories ⋮ Rough games modeled via \(L\)-fuzzy ambiguous representations of semilattices ⋮ A survey on fuzzy relational equations. I: Classification and solvability ⋮ Point axioms and related conditions in Dedekind categories

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