Logical operators on complete lattices
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Publication:1174337
DOI10.1016/0020-0255(91)90007-HzbMath0741.03010OpenAlexW2064292138MaRDI QIDQ1174337
Publication date: 25 June 1992
Published in: Information Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-0255(91)90007-h
Fuzzy logic; logic of vagueness (03B52) Logical aspects of lattices and related structures (03G10) Complete lattices, completions (06B23)
Related Items (34)
On orders induced by implications ⋮ Constructing implications and coimplications on a complete lattice ⋮ On \((O,G)\)-fuzzy rough sets based on overlap and grouping functions over complete lattices ⋮ A representation of t-norms in interval-valued \(L\)-fuzzy set theory ⋮ Fuzzy Petri Nets with Linear Orders for Intervals ⋮ Generalized convex combination of implications on bounded lattices ⋮ Notes on ``Pseudo-t-norms and implication operators on a complete Brouwerian lattice and ``Pseudo-t-norms and implication operators: direct products and direct product decompositions ⋮ Coimplications derived from pseudo-uninorms on a complete lattice ⋮ On ordinal sums of overlap and grouping functions on complete lattices ⋮ Relations among implications, coimplications and left (right) semi-uninorms ⋮ Constructing overlap and grouping functions on complete lattices by means of complete homomorphisms ⋮ Toward Optimization of Reasoning Using Generalized Fuzzy Petri Nets ⋮ Two types of ordinal sums of fuzzy implications on bounded lattices ⋮ ON NORMAL FORM BASED INTERVAL-VALUED FUZZY SETS AND THEIR APPLICATIONS TO APPROXIMATE REASONING ⋮ Unnamed Item ⋮ Pseudo-uninorms and coimplications on a complete lattice ⋮ On the direct decomposability of pseudo-t-norms, t-norms and implication operators on product lattices ⋮ Constructing uninorms on bounded lattices by using additive generators ⋮ Deresiduums of implications on a complete lattice ⋮ Ordering based on uninorms ⋮ (S,N)-Implications on Bounded Lattices ⋮ Ordering based on implications. ⋮ Residual operations of monotone binary operations over complete lattices ⋮ On the direct decomposability of strong negations and \(S\)-implication operators on product lattices ⋮ Some notes on the partial orders induced by a uninorm and a nullnorm in a bounded lattice ⋮ On the relationships between the orders induced by uninorms and nullnorms ⋮ An equivalence relation based on the \(U\)-partial order ⋮ Construction methods for implications on bounded lattices ⋮ Overlap and grouping functions on complete lattices ⋮ Unnamed Item ⋮ Binary relations induced from quasi-overlap functions and quasi-grouping functions on a bounded lattice ⋮ Pseudo-t-norms and implication operators on a complete Brouwerian lattice ⋮ On robustness of the full implication triple I inference method with respect to finer measurements ⋮ A principal topology obtained from uninorms
Cites Work
- On fuzzy complements
- On some logical connectives for fuzzy sets theory
- Solutions of composite fuzzy relational equations with triangular norms
- Fuzzy reasoning and fuzzy relational equations
- Fuzzy sets and systems. Theory and applications
- Comparison of fuzzy reasoning methods
- A new approach to approximate reasoning using a fuzzy logic
- On the analytic formalism of the theory of fuzzy sets
- A fuzzy-algorithmic approach to the definition of complex or imprecise concepts
- Axiom schemes for m-valued propositions calculi
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