Fuzzy sets in approximate reasoning, part 1: inference with possibility distributions
Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
On fuzzy implication operators
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Contrapositive symmetry of fuzzy implications
Fuzzy Sets and Systems
A first course in fuzzy logic
New family of triangular norms via contrapositive symmetrization of residuated implications
Fuzzy Sets and Systems
Automorphisms, negations and implication operators
Fuzzy Sets and Systems - Implication operators
When (S,N)-implications are (T,T1)-conditional functions?
Fuzzy Sets and Systems - Implication operators
Soft Computing - A Fusion of Foundations, Methodologies and Applications
On the structure of left-continuous t-norms that have a continuous contour line
Fuzzy Sets and Systems
Negation and affirmation: the role of involutive negators
Soft Computing - A Fusion of Foundations, Methodologies and Applications
The triple rotation method for constructing t-norms
Fuzzy Sets and Systems
On the characterizations of (S,N)-implications
Fuzzy Sets and Systems
Solutions of composite fuzzy relational equations with triangular norms
Fuzzy Sets and Systems
Rotation-invariant t-norm solutions of a system of functional equations
Fuzzy Sets and Systems
I-Fuzzy equivalence relations and I-fuzzy partitions
Information Sciences: an International Journal
Fuzzy Sets and Systems
A survey on fuzzy relational equations, part I: classification and solvability
Fuzzy Optimization and Decision Making
Xor-Implications and E-Implications: Classes of Fuzzy Implications Based on Fuzzy Xor
Electronic Notes in Theoretical Computer Science (ENTCS)
The law of importation for discrete implications
Information Sciences: an International Journal
QL-implications: Some properties and intersections
Fuzzy Sets and Systems
On interval fuzzy S-implications
Information Sciences: an International Journal
Continuous R-implications generated from representable aggregation functions
Fuzzy Sets and Systems
A characterization of residual implications derived from left-continuous uninorms
Information Sciences: an International Journal
Dual representable aggregation functions and their derived S-implications
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Intersections between some families of (U,N)- and RU-implications
Fuzzy Sets and Systems
The law of importation versus the exchange principle on fuzzy implications
Fuzzy Sets and Systems
On a new class of fuzzy implications: h-Implications and generalizations
Information Sciences: an International Journal
On fuzzy implications determined by aggregation operators
Information Sciences: an International Journal
On the characterization of Yager's implications
Information Sciences: an International Journal
Algebraic structures of interval-valued fuzzy ( S,N)-implications
International Journal of Approximate Reasoning
Threshold generation method of construction of a new implication from two given ones
Fuzzy Sets and Systems
Construction of strong equality index from implication operators
Fuzzy Sets and Systems
A copula-based family of fuzzy implication operators
Fuzzy Sets and Systems
On the Ordering Property and Law of Importation in Fuzzy Logic
International Journal of Artificial Life Research
R-implications and the exchange principle: The case of border continuous t-norms
Fuzzy Sets and Systems
Aggregating fuzzy implications
Information Sciences: an International Journal
A class of implications related to Yager's f-implications
Information Sciences: an International Journal
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In this work we give a state-of-the-art review of two of the most established classes of fuzzy implications, viz., (S,N)- and R-implications. Firstly, we discuss their properties, characterizations and representations. Many new results concerning fuzzy negations and (S,N)-implications, notably their characterizations with respect to the identity principle and ordering property, are presented, which give rise to some representation results. Finally, using the presented facts, an almost complete characterization of the intersections that exist among some subfamilies of (S,N)- and R-implications are obtained.