The categories Set H and Fuz H

DOI10.1016/S0165-0114(83)80031-1zbMath0518.18004OpenAlexW2264737631MaRDI QIDQ1053775

Jean Claude Carrega

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(83)80031-1

zbMATH Keywords

fuzzy setsHeyting algebratopos

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Heyting algebras (lattice-theoretic aspects) (06D20) Topoi (18B25) Foundations, relations to logic and deductive systems (18A15)

Related Items

Fuzzy sets and toposes - towards higher order fuzzy logic, \(H\)-fuzzy relations. I: A topological universe viewpoint, Universes of fuzzy sets and axiomatizations of fuzzy set theory. II: Category theoretic approaches, \(H\)-fuzzy relations. II: A topological universe viewpoint, Categorical studies of fuzzy sets, On algebraic properties of f-spaces, Representability of a fuzzy predicate from a category with fuzzy subsets, Categorial properties of f-set theory, Categories of fuzzy sets and weak topos

Cites Work

• Fuzzy sets do not form a topos
• Some remarks on the category Fuz(H) of M. Eytan
• Concept representation in natural and artificial languages: Axioms, extensions and applications for fuzzy sets
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