Characterizations of residual coimplications of pseudo-uninorms on a complete lattice

DOI10.1016/J.FSS.2014.06.008zbMath1361.03028OpenAlexW2089958405MaRDI QIDQ529010

Yong Su, Hua-Wen Liu

Publication date: 18 May 2017

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2014.06.008

zbMATH Keywords

uninormcoimplicationfuzzy connectivepseudo-uninormresidual coimplication

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52)

Related Items (12)

Constructing strict left (right)-disjunctive left (right) semi-uninorms and coimplications satisfying the order property ⋮ Coimplications derived from pseudo-uninorms on a complete lattice ⋮ Relations among implications, coimplications and left (right) semi-uninorms ⋮ \(\mathscr{QL}\)-(operators) implications derived from quasi-overlap (quasi-grouping) functions and negations on bounded lattices ⋮ Generalizations of (U, N)-implications derived from commutative semi-uninorms and pseudo-uninorms ⋮ Residuated implications derived from quasi-overlap functions on lattices ⋮ Constructions of coimplications and left (right) semi-uninorms on a complete lattice ⋮ Deresiduums of implications on a complete lattice ⋮ Residual operations of monotone binary operations over complete lattices ⋮ New constructions of uninorms on bounded lattices ⋮ A new structure for uninorms on bounded lattices ⋮ ℐ𝒢,𝒩-Implications Induced from Quasi-Grouping Functions and Negations on Bounded Lattices

Cites Work

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• Semi-uninorms and implications on a complete lattice
• The law of importation versus the exchange principle on fuzzy implications
• On the characterization of Yager's implications
• Residual operations of left and right uninorms on a complete lattice
• Fuzzy logics based on \([0,1)\)-continuous uninorms
• \((U,N)\)-implications and their characterizations
• Residual coimplicators of left and right uninorms on a complete lattice
• Solutions of composite fuzzy relational equations with triangular norms
• Implication in fuzzy logic
• Van Melle's combining function in MYCIN is a representable uninorm: An alternative proof
• A new look at fuzzy connectives
• Nonstandard conjunctions and implications in fuzzy logic
• Uninorm aggregation operators
• Universal approximation theorem for uninorm-based fuzzy systems modeling.
• Triangular norms
• Defending against strategic manipulation in uninorm-based multi-agent decision making
• Automorphisms, negations and implication operators
• On left and right uninorms on a finite chain
• Residual implications revisited. Notes on the Smets-Magrez theorem.
• Contrapositive symmetry of fuzzy implications
• Pseudo-uninorms and coimplications on a complete lattice
• Two types of implications derived from uninorms
• Conjunctors and their residual implicators: characterizations and construction methods
• A characterization of residual implications derived from left-continuous uninorms
• Structure of Uninorms
• ON LEFT AND RIGHT UNINORMS
• Uninorms in fuzzy systems modeling
• Pseudo-t-norms and pseudo-BL algebras

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