scientific article; zbMATH DE number 6026969

zbMath1249.94094MaRDI QIDQ5389739

Joan Torrens, Margarita Mas, Miquel Monserrat

Publication date: 23 April 2012

Full work available at URL: https://eudml.org/doc/33682

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

smoothness\(t\)-norm\(t\)-conormimplication operatorfinite chain

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Ordered semigroups and monoids (06F05) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05)

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The law of importation for discrete implications ⋮ Discrete overlap functions: basic properties and constructions ⋮ A fuzzy mathematical morphology based on discrete t-norms: fundamentals and applications to image processing ⋮ Permutation-based finite implicative fuzzy associative memories ⋮ \(\mathbf{R}_o\)-implications on finite scales ⋮ Additively generated discrete quasi-overlap functions ⋮ A study on the cardinality of some families of discrete operators through alternating sign matrices ⋮ Residual Implications from Discrete Uninorms. A Characterization ⋮ Residual implications on the set of discrete fuzzy numbers ⋮ A map of dependencies among three-valued logics ⋮ Sufficient and necessary conditions for Boolean fuzzy systems as universal approximators ⋮ On some classes of discrete additive generators ⋮ Modus ponens and modus tollens in discrete implications ⋮ Application of the \(L\)-fuzzy concept analysis in the morphological image and signal processing ⋮ On the representation of fuzzy rules ⋮ Smooth implications on a finite chain ⋮ On two types of discrete implications

Cites Work

• Unnamed Item
• On fuzzy implication operators
• Triangular norms on product lattices
• Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
• Algebraic foundations of many-valued reasoning
• On a class of left-continuous \(\text t\)-norms
• \(R _{0}\) implication: Characteristics and applications
• Automorphisms, negations and implication operators
• On left and right uninorms on a finite chain
• Contrapositive symmetry of fuzzy implications
• New family of triangular norms via contrapositive symmetrization of residuated implications
• On a class of operators for expert systems
• WhenQM-operators are implication functions and conditional fuzzy relations

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