On the construction of boundary weak triangular norms through additive generators

DOI10.1016/j.na.2005.11.014zbMath1111.03048OpenAlexW2080002489MaRDI QIDQ860724

Yao Ouyang

Publication date: 9 January 2007

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.2005.11.014

zbMATH Keywords

pseudo-inversetriangular normadditive generatorboundary weak triangular norm

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (13)

Note on the homogeneity of overlap functions ⋮ A note on the conditions that an overlap function can be obtained by a distortion ⋮ Aggregation functions: construction methods, conjunctive, disjunctive and mixed classes ⋮ Interval additive generators of interval t-norms and interval t-conorms ⋮ On some algebraic and topological properties of generated border-continuous triangular norms ⋮ On the migrativity of triangular subnorms ⋮ The lattice-theoretic structure of the sets of triangular norms and semi-copulas ⋮ Some observations about the convex combination of continuous triangular norms ⋮ Quasi-copulas with a given sub-diagonal section ⋮ A generalization of additive generator of triangular norms ⋮ Smooth t-subnorms on finite scales ⋮ On additive generators of overlap functions ⋮ Additive generators of fuzzy operations in the form of linear fractional functions

Cites Work

• Quasi- and pseudo-inverses of monotone functions, and the construction of t-norms
• Uninorm aggregation operators
• Continuous triangular subnorms.
• Triangular norms
• Additive generators of associative functions
• Structure of left-continuous triangular norms with strong induced negations (II) Rotation-annihilation construction
• FUZZY ARITHMETIC BASED ON BOUNDARY WEAK T-NORMS
• t–OPERATORS
• Unnamed Item
• Unnamed Item

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