New results on single axioms for \(L\)-fuzzy rough approximation operators

DOI10.1016/j.fss.2019.04.001zbMath1464.03074OpenAlexW2931053136WikidataQ128121157 ScholiaQ128121157MaRDI QIDQ2036813

Chun Yong Wang, Yong-Hong Wu, Xin Guang Zhang

Publication date: 30 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.fss.2019.04.001

zbMATH Keywords

residuated lattices\(L\)-fuzzy relations\(L\)-fuzzy rough sets\(L\)-fuzzy rough approximation operators

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (2)

Single axioms for \((S,T)\)-fuzzy rough approximation operators with fuzzy product operations ⋮ Axiomatic characterizations of \(L\)-valued rough sets using a single axiom

Cites Work

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• The relationship between \(L\)-fuzzy rough set and \(L\)-topology
• Some properties of \( L\)-fuzzy approximation spaces based on bounded integral residuated lattices
• On minimization of axiom sets characterizing covering-based approximation operators
• The minimization of axiom sets characterizing generalized approximation operators
• On axiomatic characterizations of three pairs of covering based approximation operators
• Fuzzy preorder and fuzzy topology
• Generalized fuzzy rough sets determined by a triangular norm
• Generalized rough sets based on reflexive and transitive relations
• An axiomatic approach of fuzzy rough sets based on residuated lattices
• Relationship between generalized rough sets based on binary relation and covering
• Constructive and algebraic methods of the theory of rough sets
• Metamathematics of fuzzy logic
• Reduction and axiomization of covering generalized rough sets.
• A comparative study of fuzzy rough sets
• Neighborhood operators for covering-based rough sets
• Axiomatic characterizations of \((S, T)\)-fuzzy rough approximation operators
• A comprehensive study of implicator-conjunctor-based and noise-tolerant fuzzy rough sets: definitions, properties and robustness analysis
• \(T\)-similarity of fuzzy relations and related algebraic structures
• Some minimal axiom sets of rough sets
• Using one axiom to characterize \(L\)-fuzzy rough approximation operators based on residuated lattices
• Single axioms for lower fuzzy rough approximation operators determined by fuzzy implications
• Topological characterizations of generalized fuzzy rough sets
• Axiomatic systems for rough sets and fuzzy rough sets
• On characterizations of \((\mathcal J,\mathcal T)\)-fuzzy rough approximation operators
• Using one axiom to characterize rough set and fuzzy rough set approximations
• Topological and lattice structures of \(\mathcal L\)-fuzzy rough sets determined by lower and upper sets
• L-fuzzy sets
• Using One Axiom to Characterize Fuzzy Rough Approximation Operators Determined by a Fuzzy Implication Operator
• THE STRUCTURE OF RESIDUATED LATTICES
• ROUGH FUZZY SETS AND FUZZY ROUGH SETS*
• Rough sets
• Transactions on Rough Sets II
• On axiomatic characterisations of crisp approximation operators

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