Alternative approaches to obtain t-norms and t-conorms on bounded lattices

DOI10.22111/ijfs.2020.5410zbMath1458.03031OpenAlexW3043880717MaRDI QIDQ5858215

Emel Aşıcı, Radko Mesiar

Publication date: 9 April 2021

Full work available at URL: http://ijfs.usb.ac.ir/article_5410_70ae4886f8ae63e19b1d2a4ec3717c74.pdf

zbMATH Keywords

bounded latticetriangular normtriangular conormordinal sum

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Fuzzy lattices (soft algebras) and related topics (06D72)

Related Items (6)

FGM generated archimedean copulas with concave multiplicative generators ⋮ Some construction approaches for t-norms and t-conorms on bounded lattices ⋮ Constructions of quasi-overlap functions and their generalized forms on bounded partially ordered sets ⋮ Ordinal sums: from triangular norms to bi- and multivariate copulas ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Characterizing when an ordinal sum of t-norms is a t-norm on bounded lattices
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• Triangular norms
• On a new class of t-norms and t-conorms on bounded lattices
• Alternative approaches for generating uninorms on bounded lattices
• On the structure of uninorms on bounded lattices
• A new way to extend t-norms, t-conorms and negations
• \(T\)-subnorms with strong associated negation: some properties
• On ordinal sums of triangular norms on bounded lattices
• L-fuzzy sets
• Naturally Totally Ordered Commutative Semigroups
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