Distributivity and conditional distributivity of semi-uninorms over continuous t-conorms and t-norms

DOI10.1016/J.FSS.2014.07.025zbMath1361.03021OpenAlexW2041486812MaRDI QIDQ529351

Hua-Wen Liu

Publication date: 18 May 2017

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

Full work available at URL: https://doi.org/10.1016/j.fss.2014.07.025

zbMATH Keywords

distributivityt-conormst-normsfuzzy connectivesconditional distributivitycontinuous semi-uninormsrepresentable semi-uninorms

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52)

Related Items (33)

Conditional distributivity for semi-t-operators over uninorms ⋮ The left (right) distributivity of semi-t-operators over 2-uninorms ⋮ Distributivity characterization of idempotent uni-nullnorms and overlap or grouping functions ⋮ On distributivity equations for uninorms over semi-t-operators ⋮ Distributivity between semi-uninorms and semi-t-operators ⋮ Conditional distributivity of continuous semi-t-operators over disjunctive uninorms with continuous underlying t-norms and t-conorms ⋮ On the distributivity equations between null-uninorms and overlap (grouping) functions ⋮ New results on ordinal sum implications based on ordinal sum of overlap functions ⋮ Distributivity and conditional distributivity of semi-t-operators over \(S\)-uninorms ⋮ A unified way to studies of t-seminorms, t-semiconorms and semi-uninorms on a complete lattice in terms of behaviour operations ⋮ The distributivity equation for uninorms revisited ⋮ The modularity condition for semi-t-operators and semi-uninorms ⋮ On the conditional distributivity of continuous semi-t-operators over uninorms ⋮ Left and right distributivity between semi-uninorms and semi-\(S\)-uninorms ⋮ Unnamed Item ⋮ Distributivity between semi-t-operators and Mayor's aggregation operators ⋮ Characterization of uninorms with continuous underlying t-norm and t-conorm by means of the ordinal sum construction ⋮ Generalized ordinal sums of aggregation operators on bounded lattices ⋮ The distributivity equations for semi t-operators over uninorms ⋮ On the distributivity property for uninorms ⋮ A note on distributivity and conditional distributivity for \(S\)-uninorms ⋮ The modularity equation with Mayor's aggregation operators and semi-t-operators ⋮ Distributivity of a class of ordinal sum implications over t-norms and t-conorms ⋮ Modularity conditions between overlap (grouping) function and uni-nullnorm or null-uninorm ⋮ On distributive laws between 2-uninorms and overlap (grouping) functions ⋮ Invariability, orbits and fuzzy attractors ⋮ Distributivity Equations Between Semi-t-operators Over Semi-uninorms ⋮ Conditional distributivity equation of semi-uninorms over uninorms ⋮ Distributivity and conditional distributivity for \(T\)-uninorms ⋮ Distributivity and conditional distributivity for \(S\)-uninorms ⋮ Distributivity and conditional distributivity for uni-nullnorms ⋮ Left and right distributivity equations in the class of semi-t-operators ⋮ On distributivity between aggregation operators with annihilator and Mayor’s aggregation operators

Cites Work

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• Open problems from the Linz2000 closing session
• Triangular norms
• The distributivity property of increasing binary operations
• INTEGRATION WITH RESPECT TO DECOMPOSABLE MEASURES, BASED ON A CONDITIONALLY DISTRIBUTIVE SEMIRING ON THE UNIT INTERVAL
• Structure of Uninorms
• Distributivity and conditional distributivity of a uninorm and a continuous t-conorm

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