Multi-adjoint algebras versus non-commutative residuated structures
From MaRDI portal
Publication:900276
DOI10.1016/j.ijar.2015.08.003zbMath1350.06003OpenAlexW1660981353MaRDI QIDQ900276
Jesús Medina, Eloísa Ramírez-Poussa, Maria Eugenia Cornejo
Publication date: 22 December 2015
Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijar.2015.08.003
Other algebras related to logic (03G25) Galois correspondences, closure operators (in relation to ordered sets) (06A15)
Related Items (23)
Fuzzy connections on adjoint triples ⋮ Adjoint negations, more than residuated negations ⋮ Minimal solutions of generalized fuzzy relational equations: clarifications and corrections towards a more flexible setting ⋮ Right adjoint algebras versus operator left residuated posets ⋮ Preferences in discrete multi-adjoint formal concept analysis ⋮ Uninorms internal on one or more non-trivial cuts ⋮ Rough set decision algorithms for modeling with uncertainty ⋮ Multi-adjoint lattice logic and truth-stressing hedges ⋮ Algebraic structure and characterization of adjoint triples ⋮ A logical characterization of multi-adjoint algebras ⋮ On the impact of sup‐compositions in the resolution of multi‐adjoint relation equations ⋮ \(L\)-fuzzy relational mathematical morphology based on adjoint triples ⋮ Reduct-Irreducible $$\alpha $$ -cut Concept Lattices: An Efficient Reduction Procedure to Multi-adjoint Concept Lattices ⋮ Extended multi-adjoint logic programming ⋮ Functional degrees of inclusion and similarity between \(L\)-fuzzy sets ⋮ Trice-valued fuzzy sets: mathematical model for three-way decisions ⋮ Unnamed Item ⋮ Implication operators generating pairs of weak negations and their algebraic structure ⋮ Syntax and semantics of multi-adjoint normal logic programming ⋮ Notes on ``Solution sets of inf-\(\alpha_{\mathcal{T}}\) fuzzy relational equations on complete Brouwerian lattices and ``Fuzzy relational equations on complete Brouwerian lattices ⋮ Generalized quantifiers in formal concept analysis ⋮ Characterizing reducts in multi-adjoint concept lattices ⋮ Knowledge implications in multi-adjoint concept lattices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimal solutions of generalized fuzzy relational equations: probabilistic algorithm based on greedy approach
- Semi-uninorms and implications on a complete lattice
- Non-commutative morphology: Shapes, filters, and convolutions
- Multi-adjoint property-oriented and object-oriented concept lattices
- Multi-adjoint relation equations: definition, properties and solutions using concept lattices
- On fuzzy relational equations and the covering problem
- A comparative study of adjoint triples
- A new algebraic tool for automatic theorem provers. Multisemilattice: A structure to improve the efficiency of provers in temporal logics
- The logic of tied implications. II. Syntax
- Fuzzy logic programming via multilattices
- Residuated lattices. An algebraic glimpse at substructural logics
- Extended-order algebras
- Implication structures, fuzzy subsets, and enriched categories
- Formal concept analysis via multi-adjoint concept lattices
- Quantales and their sheaves
- Language in action
- Construction of the \(L\)-fuzzy concept lattice
- Uninorm aggregation operators
- Triangular norms
- Constructions of coimplications and left (right) semi-uninorms on a complete lattice
- Sup-t-norm and inf-residuum are one type of relational product: unifying framework and consequences
- Associatively tied implications.
- Propositional calculus under adjointness
- Pseudo-t-norms and implication operators on a complete Brouwerian lattice
- Similarity-based unification: A multi-adjoint approach
- Multi-adjoint fuzzy rough sets: definition, properties and attribute selection
- Associativity, commutativity and symmetry in residuated structures
- 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
- Extended-order algebras and fuzzy implicators
- Non-commutative stochastic distributions and applications to linear systems theory
- Pseudo-uninorms and coimplications on a complete lattice
- The logic of tied implications. I: Properties, applications and representation
- Issues on adjointness in multiple-valued logics
- Using concept lattice theory to obtain the set of solutions of multi-adjoint relation equations
- A characterization of residual implications derived from left-continuous uninorms
- Structure of Uninorms
- Partially ordered sets and the Schreier refinement theorem, II. Theory of multistructures
- Phase semantics and sequent calculus for pure noncommutative classical linear propositional logic
- Semi-Boolean algebras and their applications to intuitionistic logic with dual operations
- Resolution of composite fuzzy relation equations
- On basic conditions to generate multi-adjoint concept lattices via Galois connections
This page was built for publication: Multi-adjoint algebras versus non-commutative residuated structures
