Uninorm solutions and (or) nullnorm solutions to the modularity condition equations

DOI10.1016/j.fss.2004.04.012zbMath1058.03057OpenAlexW2153462814MaRDI QIDQ703387

Qin Feng

Publication date: 11 January 2005

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2004.04.012

zbMATH Keywords

t-normt-conormuninormnullnormmodularity condition equation

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items

Lattice structure of \(e\)-implications on \(L^{*}\) ⋮ Distributivity equation in the class of 2-uninorms ⋮ The modularity equation for semi-t-operators and T-uninorms ⋮ Ordinal sums: from triangular norms to bi- and multivariate copulas ⋮ The modularity condition for semi-t-operators and semi-uninorms ⋮ The modularity law in some classes of aggregation operators ⋮ Unnamed Item ⋮ Some further results about uninorms on bounded lattices ⋮ A note on the modularity condition for overlap and grouping functions ⋮ The modularity equation with Mayor's aggregation operators and semi-t-operators ⋮ The modularity condition for semi-t-operators ⋮ Modularity conditions between overlap (grouping) function and uni-nullnorm or null-uninorm ⋮ On distributive laws between 2-uninorms and overlap (grouping) functions ⋮ The modularity condition for uninorms revisited ⋮ The modularity condition for overlap and grouping functions

Cites Work

• The structure of continuous uni-norms
• Uninorm aggregation operators
• Weighted triangular norms-based aggregation operators
• Triangular norms
• Remarks on uninorm aggregation operators
• The modularity condition for uninorms and t-operators
• Idempotent uninorms
• Structure of Uninorms
• t–OPERATORS
• The functional equations of Frank and Alsina for uninorms and nullnorms
• Uninorms in fuzzy systems modeling
• Unnamed Item
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