Single axioms for lower fuzzy rough approximation operators determined by fuzzy implications
From MaRDI portal
Publication:1794878
DOI10.1016/j.fss.2017.05.007zbMath1397.03090OpenAlexW2612831915MaRDI QIDQ1794878
Publication date: 16 October 2018
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2017.05.007
Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37)
Related Items (6)
Single axioms for \((S,T)\)-fuzzy rough approximation operators with fuzzy product operations ⋮ Axiomatic characterizations of \(L\)-valued rough sets using a single axiom ⋮ \(L\)-fuzzifying approximation operators in fuzzy rough sets ⋮ New results on single axioms for \(L\)-fuzzy rough approximation operators ⋮ \(L\)-fuzzy rough approximation operators via three new types of \(L\)-fuzzy relations ⋮ A comparative study of variable precision fuzzy rough sets based on residuated lattices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fuzzy rough sets based on generalized residuated lattices
- On \((G, N)\)-implications derived from grouping functions
- On minimization of axiom sets characterizing covering-based approximation operators
- Covering based rough set approximations
- 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
- Fuzzy implications
- Generalized fuzzy rough sets determined by a triangular norm
- An axiomatic approach of fuzzy rough sets based on residuated lattices
- Constructive and algebraic methods of the theory of rough sets
- Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
- 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
- Granular variable precision fuzzy rough sets with general fuzzy relations
- Some minimal axiom sets of rough sets
- A new class of fuzzy implications. Axioms of fuzzy implication revisited
- Axiomatics for fuzzy rough sets
- Axiomatic systems for rough sets and fuzzy rough sets
- A novel variable precision \((\theta ,\sigma )\)-fuzzy rough set model based on fuzzy granules
- Generalized fuzzy rough approximation operators determined by fuzzy implicators
- On characterizations of \((\mathcal J,\mathcal T)\)-fuzzy rough approximation operators
- Using one axiom to characterize rough set and fuzzy rough set approximations
- The necessary and sufficient conditions for a fuzzy relation being \(\top\)-Euclidean
- Topological and lattice structures of \(\mathcal L\)-fuzzy rough sets determined by lower and upper sets
- Using One Axiom to Characterize Fuzzy Rough Approximation Operators Determined by a Fuzzy Implication Operator
- ROUGH FUZZY SETS AND FUZZY ROUGH SETS*
- Rough sets
- Transactions on Rough Sets II
- On axiomatic characterisations of crisp approximation operators
This page was built for publication: Single axioms for lower fuzzy rough approximation operators determined by fuzzy implications