Distributivity and conditional distributivity for uni-nullnorms

DOI10.1016/j.fss.2018.08.008zbMath1423.03233OpenAlexW3017062904MaRDI QIDQ2328973

Feng Qin, Gang Wang, Wen-huang Li

Publication date: 17 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.fss.2018.08.008

zbMATH Keywords

functional equationsdistributivityaggregation functionsfuzzy connectivesuninormconditional distributivityuni-nullnorms

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (19)

Conditional distributivity for semi-t-operators over uninorms ⋮ Distributivity equations for aggregation operations with annihilator over uninorms ⋮ Conditional distributivity of continuous semi-t-operators over disjunctive uninorms with continuous underlying t-norms and t-conorms ⋮ Characterization of idempotent \(n\)-uninorms ⋮ On the distributivity equations between null-uninorms and overlap (grouping) functions ⋮ On some distributivity equation related to minitive and maxitive homogeneity of the upper \(n\)-Sugeno integral ⋮ Construction methods for the smallest and largest uni-nullnorms on bounded lattices ⋮ Distributivity of a uni-nullnorm with continuous and Archimedean underlying T-norms and T-conorms over an arbitrary uninorm ⋮ Construction methods for uni-nullnorms and null-uninorms on bounded lattice ⋮ Nullnorms on bounded lattices derived from t-norms and t-conorms ⋮ Unnamed Item ⋮ On the distributivity equations between uni-nullnorms and overlap (grouping) functions ⋮ Modularity conditions between overlap (grouping) function and uni-nullnorm or null-uninorm ⋮ On distributive laws between 2-uninorms and overlap (grouping) functions ⋮ The conditional distributivity of nullnorms over uninorms ⋮ Migrativity properties of uninorms over 2-uninorms ⋮ Distributivity between uni-nullnorms and Mayor's aggregation operators ⋮ Distributivity and conditional distributivity for \(S\)-uninorms ⋮ Aggregation operators and distributivity equations

Cites Work

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• Distributivity and conditional distributivity for \(T\)-uninorms
• Uninorm aggregation operators
• Triangular norms
• Characterizations of uni-nullnorms with continuous Archimedean underlying t-norms and t-conorms
• On the conditional distributivity of continuous semi-t-operators over uninorms
• On the conditional distributivity of nullnorms over uninorms
• The distributivity property of increasing binary operations
• Structure of \(n\)-uninorms
• Some implications of the restricted distributivity of aggregation operators with absorbing elements for utility theory
• Restricted distributivity for aggregation operators with absorbing element
• 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
• Uni-nullnorms and null-uninorms1
• The functional equations of Frank and Alsina for uninorms and nullnorms

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