A new algebraic approach to L-fuzzy relations convenient to study crispness

DOI10.1016/S0020-0255(01)00167-0zbMath0992.18004OpenAlexW2095363060MaRDI QIDQ1602557

Michael Winter

Publication date: 23 June 2002

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-0255(01)00167-0

zbMATH Keywords

Dedekind categoriesGoguen category\(L\)-fuzzy relationsrelational category

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Special categories (18B99) Cylindric and polyadic algebras; relation algebras (03G15)

Related Items (16)

Stone Relation Algebras ⋮ Type-n Arrow Categories ⋮ Dependencies in relational models of databases ⋮ Relation-Algebraic Verification of Prim’s Minimum Spanning Tree Algorithm ⋮ Categories of relations for variable-basis fuzziness ⋮ Sharpness in the Fuzzy World ⋮ Relational style laws and constructs of linear algebra ⋮ Representation theory of Goguen categories. ⋮ 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 ⋮ Verifying minimum spanning tree algorithms with Stone relation algebras ⋮ Dedekind categories with cutoff operators ⋮ Membership values in arrow categories ⋮ An algebraic framework for minimum spanning tree problems ⋮ Arrow categories

Cites Work

• Squares and rectangles in relation categories. Three cases: Semilattice, distributive lattice and Boolean non-unitary
• L-fuzzy sets
• Relational Methods in Computer Science
• Fuzzy sets
• Boolean Algebras with Operators
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