Structure of \(n\)-uninorms
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Publication:2372296
DOI10.1016/j.fss.2007.02.015zbMath1122.03044OpenAlexW2030073488MaRDI QIDQ2372296
Publication date: 26 July 2007
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2007.02.015
Related Items (47)
C-sets of \(n\)-uninorms ⋮ The left (right) distributivity of semi-t-operators over 2-uninorms ⋮ Distributivity equation in the class of 2-uninorms ⋮ Distributivity characterization of idempotent uni-nullnorms and overlap or grouping functions ⋮ Characterization of idempotent \(n\)-uninorms ⋮ On the distributivity equations between null-uninorms and overlap (grouping) functions ⋮ Structure of uninorms not locally internal on the boundary ⋮ On the cross-migrativity between uninorms and overlap (grouping) functions ⋮ On ordinal sums of partially ordered monoids: a unified approach to ordinal sum constructions of t-norms, t-conorms and uninorms ⋮ An advanced interpretable fuzzy neural network model based on uni-nullneuron constructed from n-uninorms ⋮ EFNN-NullUni: an evolving fuzzy neural network based on null-uninorm ⋮ A note on simplification of \(z\)-ordinal sum construction ⋮ On residual implications derived from 2-uninorms ⋮ Characterizations of uni-nullnorms with continuous Archimedean underlying t-norms and t-conorms ⋮ The modularity law in some classes of aggregation operators ⋮ Distributivity of a uni-nullnorm with continuous and Archimedean underlying T-norms and T-conorms over an arbitrary uninorm ⋮ A New Class of Uninorm Aggregation Operations for Fuzzy Theory ⋮ On the structure of 2-uninorms ⋮ Some properties of weak uninorms ⋮ Unnamed Item ⋮ Relation between neutral element and annihilator in absorption equation ⋮ On the distributivity of continuous triangular norms and triangular conorms with respect to 2-uninorms ⋮ Construction methods for uni-nullnorms and null-uninorms on bounded lattice ⋮ Characterization of \(n\)-uninorms with continuous underlying functions via \(z\)-ordinal sum construction ⋮ Ordering based on uninorms ⋮ Logic-based fuzzy networks: a study in system modeling with triangular norms and uninorms ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ New constructions of uninorms on bounded lattices ⋮ Migrativity properties of overlap functions over uninorms ⋮ On the distributivity equations between uni-nullnorms and overlap (grouping) functions ⋮ Characterizations of \((U^2,N)\)-implications generated by 2-uninorms and fuzzy negations from the point of view of material implication ⋮ A note on uninorms with continuous underlying operators ⋮ Structure of Uninorms with Continuous Diagonal Functions ⋮ Modularity conditions between overlap (grouping) function and uni-nullnorm or null-uninorm ⋮ On distributive laws between 2-uninorms and overlap (grouping) functions ⋮ Discussing discrete 2-uninorms using lower and upper ordinal sums ⋮ A common characterization for migrative uni-nullnorms ⋮ Characterizations of residual implications derived from uni-nullnorms ⋮ Migrativity properties of uninorms over 2-uninorms ⋮ On the distributivity equation for uni-nullnorms ⋮ Some examples of weak uninorms ⋮ Distributivity between uni-nullnorms and Mayor's aggregation operators ⋮ Distributivity and conditional distributivity for \(S\)-uninorms ⋮ Distributivity and conditional distributivity for uni-nullnorms ⋮ A new way to extend t-norms, t-conorms and negations
Cites Work
- Unnamed Item
- Unnamed Item
- The distributivity condition for uninorms and t-operators
- Associative monotonic operations in fuzzy set theory
- Statistical metric spaces
- On the simultaneous associativity of F(x,y) and x+y-F(x,y)
- The structure of continuous uni-norms
- Uninorm aggregation operators
- Triangular norms
- Remarks on uninorm aggregation operators
- The modularity condition for uninorms and t-operators
- Idempotent uninorms
- On the reversibility of uninorms and t-operators
- Weak uninorm aggregation operators
- Structure of Uninorms
- ON LEFT AND RIGHT UNINORMS
- ON A CLASS OF UNINORMS
- t–OPERATORS
- Aggregation operators with annihilator
- The functional equations of Frank and Alsina for uninorms and nullnorms
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