Continuity of left-continuous triangular norms with strong induced negations and their boundary condition

DOI10.1016/S0165-0114(00)00063-4zbMath0989.03059OpenAlexW1978199070MaRDI QIDQ1349172

Sándor Jenei

Publication date: 21 May 2002

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(00)00063-4

zbMATH Keywords

boundary conditiontriangular normfuzzy connectivesresidual implicationaggregation operatorsleft-continuityinduced negation

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (14)

Residual implications on lattice \(\mathcal{L}\) of intuitionistic truth values based on powers of continuous t-norms ⋮ On an Open Problem of U. Höhle - A Characterization of Conditionally Cancellative T-Subnorms ⋮ A characterization of truth-functions in the nilpotent minimum logic ⋮ Triangular norms. Position paper II: General constructions and parameterized families ⋮ \((S,N)\)- and \(R\)-implications: A state-of-the-art survey ⋮ On the correspondence between reciprocal relations and strongly complete fuzzy relations ⋮ \(T\)-subnorms with strong associated negation: some properties ⋮ Solution to an open problem: a characterization of conditionally cancellative t-subnorms ⋮ Ordinal sums: from triangular norms to bi- and multivariate copulas ⋮ Continuity of left-continuous triangular norms with special associated negations ⋮ Triple I method based on pointwise sustaining degrees ⋮ A note on the unified forms of triple I method ⋮ On Arrow-Sen style equivalences between rationality conditions for fuzzy choice functions ⋮ On the resolution and optimization of a system of fuzzy relational equations with sup-\(T\) composition

Cites Work

• Linear logic
• A plea for the use of Łukasiewicz triplets in the definition of fuzzy preference structures. I: General argumentation
• A survey on different triangular norm-based fuzzy logics
• On the structure of rotation-invariant semigroups
• Triangular norms
• Contrapositive symmetry of fuzzy implications
• New family of triangular norms via contrapositive symmetrization of residuated implications
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