Totally Ordered Monoids Based on Triangular Norms

DOI10.1080/00927872.2014.891599zbMath1329.06007OpenAlexW1583598822MaRDI QIDQ5500701

Thomas Vetterlein

Publication date: 7 August 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2014.891599

zbMATH Keywords

fuzzy logiccongruencesfiltersmonotone mappingsorder-preserving transformationsfuzzy intersectionfuzzy conjunctionCayley totally ordered monoidsleft-continuous triangular normstomonoids

Mathematics Subject Classification ID

Commutative semigroups (20M14) Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72) Ordered semigroups and monoids (06F05)

Related Items (7)

The construction of left-continuous t-norms: a geometric approach in two dimensions ⋮ On positive commutative tomonoids ⋮ Unnamed Item ⋮ Real coextensions as a tool for constructing triangular norms ⋮ The coextension of commutative pomonoids and its application to triangular norms ⋮ The Semantics of Fuzzy Logics: Two Approaches to Finite Tomonoids ⋮ On the coextension of cut-continuous pomonoids

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