Arrow categories

DOI10.1016/j.fss.2008.12.008zbMath1178.18002OpenAlexW2913232073MaRDI QIDQ1043285

Michael Winter

Publication date: 7 December 2009

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2008.12.008

zbMATH Keywords

fuzzy relationDedekind categoryGoguen category

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Categorical logic, topoi (03G30) Categories of spans/cospans, relations, or partial maps (18B10)

Related Items (13)

Type-n Arrow Categories ⋮ Relation lifting, a survey ⋮ Dependencies in relational models of databases ⋮ Categories of relations for variable-basis fuzziness ⋮ Sharpness in the Fuzzy World ⋮ Relational algebraic approach to the real numbers the additive group ⋮ Towards a linear algebra of programming ⋮ The categorical basis of dynamical entropy ⋮ Relational sums and splittings in categories of \(L\)-fuzzy relations ⋮ Change of base using arrow categories ⋮ Unnamed Item ⋮ Dedekind categories with cutoff operators ⋮ Membership values in arrow categories

Cites Work

• An algebraic formalization of fuzzy relations
• Representation theory of Goguen categories.
• A new algebraic approach to L-fuzzy relations convenient to study crispness
• Squares and rectangles in relation categories. Three cases: Semilattice, distributive lattice and Boolean non-unitary
• L-fuzzy sets
• Fuzzy models of linear logic
• Fuzzy sets
• Boolean Algebras with Operators. Part I
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