Implication structures, fuzzy subsets, and enriched categories
type: Item
instance of: scholarly article
title: Implication structures, fuzzy subsets, and enriched categories
zbMATH Open document ID: 1189.18003
author: Dexue Zhang
published in: Fuzzy Sets and Systems
publication date: 2010-05-07T00:00:00Z
Mathematics Subject Classification ID: 18D20
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 03G30
Mathematics Subject Classification ID: 06D22
Mathematics Subject Classification ID: 06F07
zbMATH DE Number: 5705397
zbMATH Keywords: category theory
zbMATH Keywords: non-classical logics
zbMATH Keywords: implication structure
zbMATH Keywords: unital quantale
zbMATH Keywords: complete residuated lattice
zbMATH Keywords: enriched category
zbMATH Keywords: fuzzy powerset
zbMATH Keywords: fuzzy relation
zbMATH Keywords: fuzzy function
zbMATH Keywords: Cauchy completeness
Wikidata QID: Q58331920
MaRDI profile type: Publication
full work available at URL: j.fss.2009.09.014
OpenAlex ID: W1979957113
cites work: Associatively tied implications.
cites work: Q4693062
cites work: Fuzzy power sets and fuzzy implication operators
cites work: Q5312888
cites work: Concept lattices and order in fuzzy logic
cites work: Reports of the Midwest Category Seminar
cites work: Generalized metric spaces: Completion, topology, and powerdomains via the Yoneda embedding
cites work: Q4856547
cites work: Matrices Over Ordered Algebraic Structures
cites work: Q3770692
cites work: Weakly implicative (fuzzy) logics. I: Basic properties
cites work: Fuzzy functions and their applications
cites work: Fuzzy sets in a approximate reasoning. I: Inference with possibility distributions
cites work: Q5586461
cites work: On fuzzy implication operators
cites work: Transporting many-valued sets along many-valued relations
cites work: Foundations of fuzzy reasoning
cites work: L-fuzzy sets
cites work: Concept representation in natural and artificial languages: Axioms, extensions and applications for fuzzy sets
cites work: A treatise on many-valued logics
cites work: Universes of fuzzy sets and axiomatizations of fuzzy set theory. I: Model-based and axiomatic approaches
cites work: Universes of fuzzy sets and axiomatizations of fuzzy set theory. II: Category theoretic approaches
cites work: Metamathematics of fuzzy logic
cites work: Monoidal closed categories, weak topoi and generalized logics
cites work: Q4836218
cites work: Fuzzy sets and sheaves. I: Basic concepts
cites work: Fuzzy sets and sheaves. II: Sheaf-theoretic foundations of fuzzy set theory with applications to algebra and topology
cites work: Partial ordering in L-underdeterminate sets
cites work: Foundations of fuzzy sets
cites work: Fuzzy \(T\)-transitive relations: Eigenvectors and generators
cites work: Q3934579
cites work: Q4716901
cites work: Q4549484
cites work: Triangular norms
cites work: Fuzzy preorder and fuzzy topology
cites work: Complete and directed complete \(\Omega \)-categories
cites work: Metric spaces, generalized logic, and closed categories
cites work: Similarity relations, fuzzy partitions, and fuzzy orderings
cites work: Q5661846
cites work: Q3996704
cites work: Implication in fuzzy logic
cites work: A survey of fuzzy set and topos theory
cites work: Q4680353
cites work: Towards ``dynamic domains'': totally continuous cocomplete \(\mathcal Q\)-categories
cites work: On the structure of F-indistinguishability operators
cites work: Residuated Lattices
cites work: Liminf convergence in \(\Omega\)-categories
cites work: Q3998741
cites work: Fuzzy sets
cites work: Similarity relations and fuzzy orderings
cites work: An enriched category approach to many valued topology
DBLP publication ID: journals/fss/Zhang10
DOI: 10.1016/J.FSS.2009.09.014