Convex combinations of continuous t-norms with the same diagonal function

DOI10.1016/J.NA.2007.08.076zbMath1157.39012OpenAlexW1998247300MaRDI QIDQ949711

Radko Mesiar, Andrea Mesiarová-Zemánková

Publication date: 21 October 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.2007.08.076

zbMATH Keywords

convex combinationtriangular normdiagonal function

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12)

Related Items (10)

Generalized convex combination of implications on bounded lattices ⋮ Convex combinations of uninorms and triangular subnorms ⋮ On the migrativity of triangular subnorms ⋮ Some results of weighted quasi-arithmetic mean of continuous triangular norms ⋮ Copulas, diagonals, and tail dependence ⋮ Convex combinations of fuzzy logical operations ⋮ Associativity of triangular norms characterized by the geometry of their level sets ⋮ Convex combinations of strict t-norms ⋮ Convex combinations of nilpotent triangular norms ⋮ Some results on the convex combination of uninorms

Cites Work

• Statistical metric spaces
• Some observations about the convex combination of continuous triangular norms
• Triangular norms
• On the convex combination of \(T_{D}\) and continuous triangular norms
• Problems on associative functions
• On the convex combination of left-continuous t-norms
• Statistical Metrics
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