A survey on the existing classes of uninorms
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Publication:2988503
DOI10.3233/IFS-151728zbMath1361.03022MaRDI QIDQ2988503
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Publication date: 19 May 2017
Published in: Journal of Intelligent & Fuzzy Systems (Search for Journal in Brave)
Related Items (52)
The conditional distributivity condition for T-uninorms revisited ⋮ RU and \((U,N)\)-implications satisfying modus ponens ⋮ Distributivity equations for aggregation operations with annihilator over uninorms ⋮ Ordinal sum construction for uninorms and generalized uninorms ⋮ Constructing uninorms via ordinal sums in the sense of A. H. Clifford ⋮ The migrativity equation for uninorms revisited ⋮ Modus tollens with respect to uninorms: \(U\)-modus tollens ⋮ Discrete overlap functions: basic properties and constructions ⋮ On strict \(T\)-power invariant implications: properties and intersections ⋮ Conditional distributivity of continuous semi-t-operators over disjunctive uninorms with continuous underlying t-norms and t-conorms ⋮ A characterization of the classes Umin and Umax of uninorms on a bounded lattice ⋮ Conditionally distributive uninorms ⋮ Order based on associative operations ⋮ Uninorms internal on one or more non-trivial cuts ⋮ Characterization of a class of fuzzy implication solutions to the law of importation ⋮ An insight into the conditional distributivity of nullnorms over uninorms ⋮ Generalizing the sigmoid function using continuous-valued logic ⋮ Block-wise construction of commutative increasing monoids ⋮ The distributivity equation for uninorms revisited ⋮ Characterizing set-valued functions of uninorms with continuous underlying t-norm and t-conorm ⋮ On properties of uninorms locally internal on the boundary ⋮ Distributivity of a uni-nullnorm with continuous and Archimedean underlying T-norms and T-conorms over an arbitrary uninorm ⋮ A new look at the distributivity for uninorms over nullnorms ⋮ On a Generalization of the Modus Ponens: U-conditionality ⋮ Distributivity of Implication Functions over Decomposable Uninorms Generated from Representable Uninorms in Interval-Valued Fuzzy Sets Theory ⋮ Uninorms on Interval-Valued Fuzzy Sets ⋮ Unnamed Item ⋮ How to modify a fuzzy implication function to satisfy a desired property ⋮ New results on the migrativity properties for overlap (grouping) functions and uninorms ⋮ Ordinal sums of representable uninorms ⋮ Unnamed Item ⋮ Residual operations of monotone binary operations over complete lattices ⋮ On a characterization of representable uninorms ⋮ On the inner structure of uninorms with continuous underlying operators ⋮ 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 ⋮ Some notes on U-partial order ⋮ Migrativity equation for uninorms with continuous underlying operators ⋮ On the construction of uninorms by paving ⋮ Discussing discrete 2-uninorms using lower and upper ordinal sums ⋮ A common characterization for migrative uni-nullnorms ⋮ Characterizations of residual implications derived from uni-nullnorms ⋮ Distributivity between uni-nullnorms and Mayor's aggregation operators ⋮ The generalized sigmoid function and its connection with logical operators ⋮ The modularity condition for uninorms revisited ⋮ Properties of uninorms with the underlying operations given as ordinal sums ⋮ SUOWA operators: an analysis of their conjunctive/disjunctive character ⋮ The non-contradiction principle related to natural negations of fuzzy implication functions ⋮ Uninorm based residual implications satisfying the modus ponens property with respect to a uninorm ⋮ Some results on the convex combination of uninorms ⋮ Aggregation operators and distributivity equations ⋮ Constructing conjunctive left (right) semi-uninorms and implications satisfying the neutrality principle
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