The modularity condition for uni-nullnorms

DOI10.1142/S0218488523500137zbMATH Open1547.03337MaRDI QIDQ6535997

Bowen Fang

Publication date: 16 March 2024

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

zbMATH Keywords

triangular normuninormnullnormsemi-t-operatormodularity conditionuni-nullnorm

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72)

Cites Work

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• Distributivity between semi-t-operators and semi-nullnorms
• The distributivity condition for uninorms and t-operators
• Uninorm solutions and (or) nullnorm solutions to the modularity condition equations
• The distributivity equations for semi t-operators over uninorms
• Fuzzy logics based on \([0,1)\)-continuous uninorms
• Uninorm aggregation operators
• Triangular norms
• The modularity condition for uninorms and t-operators
• On distributivity equations for uninorms over semi-t-operators
• Distributivity between semi-uninorms and semi-t-operators
• Characterizations of uni-nullnorms with continuous Archimedean underlying t-norms and t-conorms
• The modularity condition for semi-t-operators and semi-uninorms
• The modularity law in some classes of aggregation operators
• The modularity condition for semi-t-operators
• A note on ``Left and right distributivity equations for semi-t-operators and uninorms
• Modularity conditions between overlap (grouping) function and uni-nullnorm or null-uninorm
• The modularity condition for uninorms revisited
• Distributivity and conditional distributivity for \(S\)-uninorms
• Distributivity and conditional distributivity for uni-nullnorms
• Structure of \(n\)-uninorms
• Distributivity equations in the class of semi-t-operators
• ON DISTRIBUTIVITY AND MODULARITY IN DE MORGAN TRIPLETS
• Structure of Uninorms
• Uni-nullnorms and null-uninorms1
• t–OPERATORS
• Migrative Property for Semi-t-Operators
• The functional equations of Frank and Alsina for uninorms and nullnorms
• Uninorms in fuzzy systems modeling
• Pseudo-t-norms and pseudo-BL algebras

Related Items (1)

Constructing uninorms on bounded lattices through closure and interior operators

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