On the representation of fuzzy rules
International Journal of Approximate Reasoning
Fuzzy Implications
I-Fuzzy equivalence relations and I-fuzzy partitions
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
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
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
A Survey on Fuzzy Implication Functions
IEEE Transactions on Fuzzy Systems
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
Construction of strong equality index from implication operators
Fuzzy Sets and Systems
| Hi-index | 0.20 |
In recent years, some new construction methods of fuzzy implications from other given ones have been proposed. One of them, the so-called threshold generation method, preserves important properties such as the exchange principle or the law of importation under some minimal conditions. This method is based on an adequate scaling on the second variable of the two initial fuzzy implications. In this paper, we propose a new method to generate fuzzy implications from two given ones in the same spirit of the threshold generation method but now through an adequate scaling on the first variable of the given fuzzy implications. The new implications, called vertical threshold generated implications, are deeply studied focusing on the preservation of the most common properties of fuzzy implications from the initial ones to the generated implication. Moreover, they are fully characterized by means of the e-vertical section of the implication.