The number of t-norms on some special lattices

DOI10.1016/j.fss.2020.03.014zbMath1464.03050OpenAlexW3014074592MaRDI QIDQ2035351

Yanyan Li

Publication date: 24 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.2020.03.014

zbMATH Keywords

latticechainArchimedean t-normtriangular normdivisible t-normnumber of triangular norms

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Logical aspects of lattices and related structures (03G10)

Related Items

T-norms and t-conorms on a family of lattices ⋮ Constructions of quasi-overlap functions and their generalized forms on bounded partially ordered sets ⋮ The Fibonacci sequence in the description of maximal discrete Archimedean t-norms ⋮ A study on the cardinality of some families of discrete operators through alternating sign matrices

Cites Work

• Extension of fuzzy logic operators defined on bounded lattices via retractions
• The dominance relation in some families of continuous Archimedean t-norms and copulas
• Triangular norms on product lattices
• Triangular norms
• Pastings of MV-effect algebras
• On extensions of triangular norms on bounded lattices
• A new way to extend t-norms, t-conorms and negations
• On ordinal sums of triangular norms on bounded lattices
• Statistical Metrics
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