On some new classes of implication operators and their role in approximate reasoning
Information Sciences—Informatics and Computer Science: An International Journal
Yager's new class of implications Jf and some classical tautologies
Information Sciences: an International Journal
Distributivity of residual implications over conjunctive and disjunctive uninorms
Fuzzy Sets and Systems
Two types of implications derived from uninorms
Fuzzy Sets and Systems
Fuzzy Implications
(U,N)-implications and their characterizations
Fuzzy Sets and Systems
The law of importation for discrete 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
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
Combinatorial rule explosion eliminated by a fuzzy rule configuration
IEEE Transactions on Fuzzy Systems
On the law [p∧q→r]=[(p→r)V(q→r)] in fuzzy logic
IEEE Transactions on Fuzzy Systems
A Survey on Fuzzy Implication Functions
IEEE Transactions on Fuzzy Systems
On the Law of Importation in Fuzzy Logic
IEEE Transactions on Fuzzy Systems
Threshold generation method of construction of a new implication from two given ones
Fuzzy Sets and Systems
Threshold generation method of construction of a new implication from two given ones
Fuzzy Sets and Systems
On the vertical threshold generation method of fuzzy implication and its properties
Fuzzy Sets and Systems
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In this paper, the recently introduced construction method of a fuzzy implication from two given ones, called threshold generation method, is studied. This method preserves several of the most usual properties of fuzzy implications from the initial ones to the threshold generated implication. In particular, the preservation of the exchange principle, the law of importation and the distributivities with t-norms and t-conorms, stating the minimal necessary conditions to ensure this fact is studied. From these results, some properties of h-implications, as a particular case of threshold generated implications, are pointed out.