On the representation of fuzzy rules
International Journal of Approximate Reasoning
Modus ponens and modus tollens in discrete implications
International Journal of Approximate Reasoning
A survey on fuzzy relational equations, part I: classification and solvability
Fuzzy Optimization and Decision Making
The law of importation for discrete implications
Information Sciences: an International Journal
QL-implications: Some properties and intersections
Fuzzy Sets and Systems
Information Sciences: an International Journal
On interval fuzzy S-implications
Information Sciences: an International Journal
On dependencies and independencies of fuzzy implication axioms
Fuzzy Sets and Systems
Continuous R-implications generated from representable aggregation functions
Fuzzy Sets and Systems
Rough implication operator based on strong topological rough algebras
Information Sciences: an International Journal
A characterization of residual implications derived from left-continuous uninorms
Information Sciences: an International Journal
Permutation-based finite implicative fuzzy associative memories
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
On non-singleton fuzzification with DCOG defuzzification
ICAISC'10 Proceedings of the 10th international conference on Artificial intelligence and soft computing: Part I
Systemic approach to fuzzy logic formalization for approximate reasoning
Information Sciences: an International Journal
Intersections between some families of (U,N)- and RU-implications
Fuzzy Sets and Systems
Two classes of pseudo-triangular norms and fuzzy implications
Computers & Mathematics with Applications
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
Center-of-gravity fuzzy systems based on normal fuzzy implications
Computers & Mathematics with Applications
Solutions of equation I(x, y) = I(x, I(x, y)) for implications derived from uninorms
WILF'11 Proceedings of the 9th international conference on Fuzzy logic and applications
WILF'11 Proceedings of the 9th international conference on Fuzzy logic and applications
On classification with missing data using rough-neuro-fuzzy systems
International Journal of Applied Mathematics and Computer Science - Computational Intelligence in Modern Control Systems
On fuzzy implications determined by aggregation operators
Information Sciences: an International Journal
An approach to solve division-like queries in fuzzy object databases
Fuzzy Sets and Systems
Intersection of Yager's implications with QL and D-implications
International Journal of Approximate Reasoning
On the characterization of Yager's implications
Information Sciences: an International Journal
Fuzzy implications derived from additive generators of continuous Archimedean t-norms
International Journal of Intelligent Systems
Algebraic structures of interval-valued fuzzy ( S,N)-implications
International Journal of Approximate Reasoning
On some properties of threshold generated implications
Fuzzy Sets and Systems
Threshold generation method of construction of a new implication from two given ones
Fuzzy Sets and Systems
MobiFuzzy: a fuzzy library to build mobile DSSs for remote patient monitoring
AIS'12 Proceedings of the Third international conference on Autonomous and Intelligent 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
A generalization of Yager's f-generated implications
International Journal of Approximate Reasoning
A new index based on sparsity measures for comparing fuzzy partitions
SSPR'12/SPR'12 Proceedings of the 2012 Joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
On the Ordering Property and Law of Importation in Fuzzy Logic
International Journal of Artificial Life Research
A new class of fuzzy implications derived from generalized h-generators
Fuzzy Sets and Systems
On the vertical threshold generation method of fuzzy implication and its properties
Fuzzy Sets and Systems
Residual implications on the set of discrete fuzzy numbers
Information Sciences: an International Journal
Aggregating fuzzy implications
Information Sciences: an International Journal
Interval-valued fuzzy coimplications and related dual interval-valued conjugate functions
Journal of Computer and System Sciences
Consensus measures constructed from aggregation functions and fuzzy implications
Knowledge-Based Systems
Information Sciences: an International Journal
A class of implications related to Yager's f-implications
Information Sciences: an International Journal
On the extension of lattice-valued implications via retractions
Fuzzy Sets and Systems
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One of the key operations in fuzzy logic and approximate reasoning is the fuzzy implication, which is usually performed by a binary operator, called an implication function or, simply, an implication. Many fuzzy rule based systems do their inference processes through these operators that also take charge of the propagation of uncertainty in fuzzy reasonings. Moreover, they have proved to be useful also in other fields like composition of fuzzy relations, fuzzy relational equations, fuzzy mathematical morphology, and image processing. This paper aims to present an overview on fuzzy implication functions that usually are constructed from t-norms and t-conorms but also from other kinds of aggregation operators. The four most usual ways to define these implications are recalled and their characteristic properties stated, not only in the case of [0,1] but also in the discrete case.