Distributivity equations in the class of semi-t-operators

DOI10.1016/J.FSS.2015.01.015zbMath1368.03051OpenAlexW2070537932MaRDI QIDQ2398053

Ewa Rak, Paweł Drygaś

Publication date: 15 August 2017

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

Full work available at URL: https://doi.org/10.1016/j.fss.2015.01.015

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (20)

Distributivity equations for aggregation operations with annihilator over uninorms ⋮ Semi-t-operators and idempotent semi-t-operators on bounded lattices ⋮ Distributivity equation in the class of 2-uninorms ⋮ On distributivity equations for uninorms over semi-t-operators ⋮ Conditional distributivity of continuous semi-t-operators over disjunctive uninorms with continuous underlying t-norms and t-conorms ⋮ Distributivity and conditional distributivity of semi-t-operators over \(S\)-uninorms ⋮ On some distributivity equation related to minitive and maxitive homogeneity of the upper \(n\)-Sugeno integral ⋮ Left and right distributivity equations for semi-t-operators and uninorms ⋮ The distributivity equation for uninorms revisited ⋮ On the conditional distributivity of continuous semi-t-operators over uninorms ⋮ Semi-t-operators on bounded lattices ⋮ On the structure of semi-t-operators on bounded lattices ⋮ Construction of nullnorms on some special classes of bounded lattices ⋮ Hölder-Minkowski type inequality for generalized Sugeno integral ⋮ A note on distributivity and conditional distributivity for \(S\)-uninorms ⋮ The modularity condition for semi-t-operators ⋮ Distributivity and conditional distributivity for \(T\)-uninorms ⋮ Distributivity and conditional distributivity for \(S\)-uninorms ⋮ 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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• Distributivity between semi-t-operators and semi-nullnorms
• The distributivity condition for uninorms and t-operators
• Distributivity between uninorms and nullnorms
• On some solutions of the distributivity equation
• Triangular norms
• On the associativity functional equation
• The modularity condition for uninorms and t-operators
• A characterization of idempotent nullnorms
• ON A CLASS OF DISTRIBUTIVE FUZZY IMPLICATIONS
• t–OPERATORS
• DISTRIBUTIVE IDEMPOTENT UNINORMS
• The functional equations of Frank and Alsina for uninorms and nullnorms

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