Two families of fuzzy integrals
Fuzzy Sets and Systems
Strict preference relations based on weak t-norms
Fuzzy Sets and Systems - Special issue: Aggregation and best choices of imprecise opinions
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
Pseudo-t-norms and implication operators on a complete Brouwerian lattice
Fuzzy Sets and Systems - Possibility theory and fuzzy logic
Automorphisms, negations and implication operators
Fuzzy Sets and Systems - Implication operators
(S, N)- and R-implications: A state-of-the-art survey
Fuzzy Sets and Systems
(U,N)-implications and their characterizations
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Residual coimplicators of left and right uninorms on a complete lattice
Fuzzy Sets and Systems
On interval fuzzy S-implications
Information Sciences: an International Journal
On dependencies and independencies of fuzzy implication axioms
Fuzzy Sets and Systems
A characterization of residual implications derived from left-continuous uninorms
Information Sciences: an International Journal
On a new class of fuzzy implications: h-Implications and generalizations
Information Sciences: an International Journal
A Survey on Fuzzy Implication Functions
IEEE Transactions on Fuzzy Systems
On the vertical threshold generation method of fuzzy implication and its properties
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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Fuzzy implication operators play important roles in both theoretical and applied aspects of fuzzy sets theory. Many papers investigated various properties of different types of implications and the interrelationships among these properties. In this paper, we exploit the minimal conditions which must be satisfied for a binary operation A to generate a residual implication with additional properties. It includes several examples to clarify the situation.