Categorical representation theorems of fuzzy relations

DOI10.1016/S0020-0255(99)00017-1zbMath0943.03042DBLPjournals/isci/KawaharaFM99OpenAlexW1987172788WikidataQ57717468 ScholiaQ57717468MaRDI QIDQ1961868

Masao Mori, Hitoshi Furusawa, Yasuo Kawahara

Publication date: 30 January 2000

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

Full work available at URL: https://doi.org/10.1016/s0020-0255(99)00017-1

zbMATH Keywords

Dedekind categoriescategorical formalization for fuzzy relationsfuzzy relation categoriesZadeh categories

Mathematics Subject Classification ID

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

Related Items (8)

Stone Relation Algebras ⋮ Relation-Algebraic Verification of Prim’s Minimum Spanning Tree Algorithm ⋮ Towards a linear algebra of programming ⋮ WEIGHTED AUTOMATA AS COALGEBRAS IN CATEGORIES OF MATRICES ⋮ Verifying minimum spanning tree algorithms with Stone relation algebras ⋮ Dedekind categories with cutoff operators ⋮ An algebraic framework for minimum spanning tree problems ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pushout-complements and basic concepts of grammars in toposes
• Relation algebras: Concept of points and representability
• Korrespondenzen in abelschen Kategorien
• The origin of relation algebras in the development and axiomatization of the calculus of relations
• Squares and rectangles in relation categories. Three cases: Semilattice, distributive lattice and Boolean non-unitary
• L-fuzzy sets
• Processing in relational structures: Fuzzy relational equations
• Resolution of composite fuzzy relation equations
• Relational set theory
• Relational structures and their partial morphisms in view of single pushout rewriting
• AN ALGEBRA OF ADDITIVE RELATIONS

This page was built for publication: Categorical representation theorems of fuzzy relations