On dependencies and independencies of fuzzy implication axioms
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Publication:969569
DOI10.1016/j.fss.2009.12.003zbMath1195.03032OpenAlexW2073846369MaRDI QIDQ969569
Etienne E. Kerre, Bart Van Gasse, Da Ruan, Yun Shi
Publication date: 7 May 2010
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://biblio.ugent.be/publication/1026056
Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72) Functional equations and inequalities (39B99)
Related Items (25)
Constructing implications and coimplications on a complete lattice ⋮ On a New Class of Implications in Fuzzy Logic ⋮ The Relations between Implications and Left (Right) Semi-Uninorms on a Complete Lattice ⋮ Generalization of (U,N)-Implications ⋮ Associativity, commutativity and symmetry in residuated structures ⋮ Extended-order algebras and fuzzy implicators ⋮ Subsethood measures for interval-valued fuzzy sets based on the aggregation of interval fuzzy implications ⋮ Generating Fuzzy Implications by Ordinal Sums ⋮ Fuzzy rough set models over two universes using textures ⋮ An overview of the fuzzy axiomatic systems and characterizations proposed at Ghent university ⋮ Polynomial constructions of fuzzy implication functions: the quadratic case ⋮ On the vertical threshold generation method of fuzzy implication and its properties ⋮ Generalizations of (U, N)-implications derived from commutative semi-uninorms and pseudo-uninorms ⋮ Implications in bounded systems ⋮ On residual implications derived from overlap functions ⋮ A review of the relationships between implication, negation and aggregation functions from the point of view of material implication ⋮ (S,N)-Implications on Bounded Lattices ⋮ Intersections between some families of \((\mathrm U, \mathrm N)\)- and \(\mathrm{RU}\)-implications ⋮ On fuzzy implications determined by aggregation operators ⋮ Fuzzy implications in lattice effect algebras ⋮ Smooth implications on a finite chain ⋮ The role a fuzzy implication plays in a multi-criteria decision algorithm ⋮ Equivalence and characterization of probabilistic and survival implications ⋮ Fuzzy Implication Classes Satisfying a Boolean-Like Law ⋮ Constructing conjunctive left (right) semi-uninorms and implications satisfying the neutrality principle
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