Some observations about the convex combination of continuous triangular norms

DOI10.1016/j.na.2007.03.027zbMath1151.03326OpenAlexW2075751685MaRDI QIDQ943754

Yao Ouyang, Jin-Xuan Fang

Publication date: 10 September 2008

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.2007.03.027

zbMATH Keywords

convex combinationcontinuous triangular normArchimedean triangular norm

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72) Probabilistic metric spaces (54E70)

Related Items (16)

A note on the convex combinations of triangular norms ⋮ Generalized convex combination of implications on bounded lattices ⋮ Convex combinations of uninorms and triangular subnorms ⋮ Characterizations on migrativity of continuous triangular conorms with respect to \(N\)-ordinal sum implications ⋮ Semi-uninorms and implications on a complete lattice ⋮ On the migrativity of triangular subnorms ⋮ The lattice-theoretic structure of the sets of triangular norms and semi-copulas ⋮ Convex combinations of continuous t-norms with the same diagonal function ⋮ Some results of weighted quasi-arithmetic mean of continuous triangular norms ⋮ Quasi-copulas with a given sub-diagonal section ⋮ Convex combinations of fuzzy logical operations ⋮ Associativity of triangular norms characterized by the geometry of their level sets ⋮ Convex combinations of strict t-norms ⋮ Migrativity properties of overlap functions over uninorms ⋮ Convex combinations of nilpotent triangular norms ⋮ Some results on the convex combination of uninorms

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