On the continuity of residuals of triangular norms

DOI10.1016/j.na.2009.07.041zbMath1189.03030OpenAlexW2021731753MaRDI QIDQ1049061

Balasubramaniam Jayaram

Publication date: 8 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.07.041

zbMATH Keywords

t-normR-implicationresidual implication(S, N)-implication

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72) Functional equations and inequalities (39B99)

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Residual implications on lattice \(\mathcal{L}\) of intuitionistic truth values based on powers of continuous t-norms ⋮ On the correspondence between reciprocal relations and strongly complete fuzzy relations ⋮ Fuzzy Implications: Some Recently Solved Problems ⋮ Fuzzy sets and formal logics ⋮ Fuzzy Logic and the Linz Seminar: Themes and Some Personal Reminiscences

Cites Work

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• \((S,N)\)- and \(R\)-implications: A state-of-the-art survey
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• Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
• Triangular norms
• When \((S,N)\)-implications are \((T,T _{1})\)-conditional functions?
• Problems on triangular norms and related operators
• Contrapositive symmetry of fuzzy implications
• On the characterizations of \((S,N)\)-implications
• Orthosymmetrical monotone functions

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