Contrapositive symmetry of fuzzy implications
Fuzzy Sets and Systems
On some new classes of implication operators and their role in approximate reasoning
Information Sciences—Informatics and Computer Science: An International Journal
Information Sciences: 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
On the characterizations of fuzzy implications satisfying I(x,y)=I(x,I(x,y))
Information Sciences: an International Journal
Two types of implications derived from uninorms
Fuzzy Sets and Systems
On the representation of fuzzy rules
International Journal of Approximate Reasoning
(S, N)- and R-implications: A state-of-the-art survey
Fuzzy Sets and Systems
Fuzzy Implications
I-Fuzzy equivalence relations and I-fuzzy partitions
Information Sciences: an International Journal
(U,N)-implications and their characterizations
Fuzzy Sets and Systems
The law of importation for discrete implications
Information Sciences: an International Journal
Discovering a cover set of ARsi with hierarchy from quantitative databases
Information Sciences: an International Journal
Solutions to the functional equation I(x,y)=I(x,I(x,y)) for a continuous D-operation
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
Definition and construction of fuzzy DI-subsethood measures
Information Sciences: an International Journal
A Survey on Fuzzy Implication Functions
IEEE Transactions on Fuzzy Systems
On the Law of Importation in Fuzzy Logic
IEEE Transactions on Fuzzy Systems
On some properties of threshold generated implications
Fuzzy Sets and Systems
On some properties of threshold generated implications
Fuzzy Sets and Systems
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
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In this paper, a new construction method of a fuzzy implication from two given ones, called threshold generation method, is introduced. It is a generalization of the way of construction of the recently introduced h-implications, which are fully characterized in this work. The threshold generation method allows to control, up to a certain level, the increasingness on the second variable of the fuzzy implication through an adequate scaling on that variable of the two given implications. The natural propagation of the most usual properties of fuzzy implications from the initial ones to the constructed implication is studied and the necessary and sufficient conditions in order to ensure this propagation are presented. In particular, the preservation of the contrapositive symmetry on threshold generated implications needs of another construction method of a fuzzy implication from a given one and a fuzzy negation.