The modularity condition for uninorms revisited

DOI10.1016/j.fss.2018.02.008zbMath1423.03228OpenAlexW2791197664MaRDI QIDQ2328816

Joan Torrens, Juan Vicente Riera, Yong Su, Daniel Ruiz-Aguilera

Publication date: 16 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.2018.02.008

zbMATH Keywords

functional equationmodularityuninormfuzzy connectives and aggregation functionsgeneral associativity

Mathematics Subject Classification ID

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

Related Items (10)

Distributivity characterization of idempotent uni-nullnorms and overlap or grouping functions ⋮ Maximal chains on the interval \([0,1\) with respect to t-norm-partial orders and uninorm-partial orders] ⋮ The modularity equation for semi-t-operators and T-uninorms ⋮ Unnamed Item ⋮ A note on the modularity condition for overlap and grouping functions ⋮ Constructions of uninorms on bounded lattices by means of t-subnorms and t-subconorms ⋮ The modularity equation with Mayor's aggregation operators and semi-t-operators ⋮ New results on the modularity condition for overlap and grouping functions ⋮ Modularity conditions between overlap (grouping) function and uni-nullnorm or null-uninorm ⋮ The modularity condition for overlap and grouping functions

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