Distributivity between semi-uninorms and semi-t-operators

DOI10.1016/J.FSS.2015.10.012zbMath1374.03054OpenAlexW2181799696MaRDI QIDQ1677951

Feng Qin

Publication date: 14 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.fss.2015.10.012

zbMATH Keywords

aggregation operatorfuzzy connectivesemi-uninormdistributivity equationsemi-t-operator

Mathematics Subject Classification ID

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

Related Items (20)

Semi-t-operators and idempotent semi-t-operators on bounded lattices ⋮ On the distributivity equations between null-uninorms and overlap (grouping) functions ⋮ Alternative approaches for generating semi-t-operators on bounded lattices ⋮ Decomposition of idempotent pseudo-uninorms via ordinal sum ⋮ 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 ⋮ Left and right distributivity equations for semi-t-operators and uninorms ⋮ Left and right distributivity between semi-uninorms and semi-\(S\)-uninorms ⋮ Semi-t-operators on bounded lattices ⋮ On the structure of semi-t-operators on bounded lattices ⋮ On the distributivity equations between uni-nullnorms and overlap (grouping) functions ⋮ 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 ⋮ On the distributivity equation for uni-nullnorms ⋮ Conditional distributivity equation of semi-uninorms over uninorms ⋮ Distributivity and conditional distributivity for \(T\)-uninorms ⋮ Distributivity and conditional distributivity for \(S\)-uninorms ⋮ On distributivity between aggregation operators with annihilator and Mayor’s aggregation operators

Cites Work

• Distributivity between semi-t-operators and semi-nullnorms
• Distributivity and conditional distributivity of semi-uninorms over continuous t-conorms and t-norms
• The distributivity condition for uninorms and t-operators
• Distributivity between uninorms and nullnorms
• Fuzzy implications
• Uninorm aggregation operators
• Triangular norms
• On the associativity functional equation
• Automorphisms, negations and implication operators
• The distributive equations for idempotent uninorms and nullnorms
• Structure of Uninorms
• t–OPERATORS
• DISTRIBUTIVE IDEMPOTENT UNINORMS
• The functional equations of Frank and Alsina for uninorms and nullnorms
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