An order induced by nullnorms and its properties
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Publication:1697613
DOI10.1016/j.fss.2016.12.004zbMath1380.06003OpenAlexW2560315083MaRDI QIDQ1697613
Publication date: 20 February 2018
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2016.12.004
Theory of fuzzy sets, etc. (03E72) Other algebras related to logic (03G25) Structure theory of lattices (06B05)
Related Items (26)
Order based on associative operations ⋮ Construction of nullnorms on bounded lattices and an equivalence relation on nullnorms ⋮ On a new class of t-norms and t-conorms on bounded lattices ⋮ Semi-t-operators on bounded lattices ⋮ New construction of t-norms and t-conorms on bounded lattices ⋮ Uninorms on bounded lattices with the underlying t-norms and t-conorms ⋮ Some further results about uninorms on bounded lattices ⋮ Construction of nullnorms on some special classes of bounded lattices ⋮ Nullnorms on bounded lattices derived from t-norms and t-conorms ⋮ On binary relations induced from overlap and grouping functions ⋮ The additive generators of t-norms and t-conorms on bounded lattices ⋮ Importation lattices ⋮ Some notes on the partial orders induced by a uninorm and a nullnorm in a bounded lattice ⋮ On the properties of the \(F\)-partial order and the equivalence of nullnorms ⋮ On the relationships between the orders induced by uninorms and nullnorms ⋮ An extension of the ordering based on nullnorms ⋮ Sufficient conditions for a T-partial order obtained from triangular norms to be a lattice ⋮ On constructing the largest and smallest uninorms on bounded lattices ⋮ Some results about nullnorms on bounded lattices ⋮ New methods to construct uninorms on bounded lattices ⋮ Natural partial order induced by a commutative, associative and idempotent function ⋮ Some properties of idempotent uninorms on a special class of bounded lattices ⋮ Idempotent nullnorms on bounded lattices ⋮ On the structure of uninorms on bounded lattices ⋮ Binary relations induced from quasi-overlap functions and quasi-grouping functions on a bounded lattice ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Some notes on \(T\)-partial order
- Uninorms on bounded lattices
- Order-equivalent triangular norms
- On the distributivity of uninorms over nullnorms
- The distributivity condition for uninorms and t-operators
- Discrete t-norms and operations on extended multisets
- Distributivity between uninorms and nullnorms
- Cancellativity properties for t-norms and t-subnorms
- Triangular norms on product lattices
- Uninorm aggregation operators
- Triangular norms
- Nullnorms on bounded lattices
- Ordering based on uninorms
- \(\vee\)-distributive and infinitely \(\vee\)-distributive t-norms on complete lattices
- A characterization of idempotent nullnorms
- Logic-based fuzzy networks: a study in system modeling with triangular norms and uninorms
- On a new class of uninorms on bounded lattices
- Distributivity equation in the class of 2-uninorms
- On ordinal sums of triangular norms on bounded lattices
- On the \(T\)-partial order and properties
- Incomparability with respect to the triangular order
- Structure of Uninorms
- A Natural Partial Order for Semigroups
- t–OPERATORS
- The functional equations of Frank and Alsina for uninorms and nullnorms
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