A characterization of (U,N), RU, QL and D-implications derived from uninorms satisfying the law of importation
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Publication:969568
DOI10.1016/J.FSS.2009.10.022zbMath1195.03031OpenAlexW2072526747MaRDI QIDQ969568
Publication date: 7 May 2010
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2009.10.022
Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72) Functional equations and inequalities (39B99)
Related Items (23)
On orders induced by implications ⋮ RU and \((U,N)\)-implications satisfying modus ponens ⋮ ON A NEW CLASS OF IMPLICATIONS: (g,min)-IMPLICATIONS AND SEVERAL CLASSICAL TAUTOLOGIES ⋮ On the stability of two functional equations for \((S, N)\)-implications ⋮ Generalization of (U,N)-Implications ⋮ An overview of fuzzy logic connectives on the unit interval ⋮ On interval fuzzy implications derived from interval additive generators of interval t-norms ⋮ Characterization of a class of fuzzy implication solutions to the law of importation ⋮ On a Generalization of the Modus Ponens: U-conditionality ⋮ Interval additive generators of interval t-norms and interval t-conorms ⋮ Algebraic structures of interval-valued fuzzy \((S,\mathcal N)\)-implications ⋮ A new class of fuzzy implications derived from generalized \(h\)-generators ⋮ Generalizations of (U, N)-implications derived from commutative semi-uninorms and pseudo-uninorms ⋮ A survey on the existing classes of uninorms ⋮ 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 ⋮ On some properties of threshold generated implications ⋮ Threshold generation method of construction of a new implication from two given ones ⋮ On a new class of fuzzy implications: \(h\)-implications and generalizations ⋮ On the characterization of Yager's implications ⋮ Fuzzy implications: alpha migrativity and generalised laws of importation ⋮ Characterizations of residual implications derived from uni-nullnorms ⋮ Uninorm based residual implications satisfying the modus ponens property with respect to a uninorm
Cites Work
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- \((S,N)\)- and \(R\)-implications: A state-of-the-art survey
- The law of importation for discrete implications
- Construction of fuzzy indices from fuzzy DI-subsethood measures: application to the global comparison of images
- Distributivity of residual implications over conjunctive and disjunctive uninorms
- Fuzzy logics based on \([0,1)\)-continuous uninorms
- Fuzzy implications
- S- and R-implications from uninorms continuous in \(0,1[^2\) and their distributivity over uninorms]
- \((U,N)\)-implications and their characterizations
- The structure of continuous uni-norms
- On locally internal monotonic operations
- Triangular norms
- Idempotent uninorms
- Automorphisms, negations and implication operators
- Residual implications revisited. Notes on the Smets-Magrez theorem.
- Contrapositive symmetry of fuzzy implications
- A new class of fuzzy implications. Axioms of fuzzy implication revisited
- New family of triangular norms via contrapositive symmetrization of residuated implications
- On the characterizations of \((S,N)\)-implications
- Orthosymmetrical monotone functions
- Two types of implications derived from uninorms
- Definition and construction of fuzzy DI-subsethood measures
- Fuzzy logic. A spectrum of theoretical and practical issues.
- Structure of Uninorms
- ON A CLASS OF DISTRIBUTIVE FUZZY IMPLICATIONS
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