The research on fuzzy implication functions has exponentially grown in the last decades
becoming one of the main topics studied in the Fuzzy Logic community. These efforts have …

In this article, we define the-generated implications by continuous multiplicative generators
of-norms, along with the research lines of Yager's-generated implications by continuous …

Motivated by several problems on constructions, algebraic properties, in particular the law of
importation (LI) and the flexible ordering property (FOP), and applications in approximate …

The present article proposes two construction ways to study the general forms of ordinal
sums of fuzzy implications with the intent of unifying the ordinal sums existing in the …

The modification (relaxation or intensification) of the antecedent or the consequent in a fuzzy
“If, Then” conditional is an important asset for an expert in order to agree with it. The usual …

Recently, the so-called family of T-power based implications was introduced. These
operators involve the use of Zadeh's quantifiers modelled by powers of t-norms in its …

Characterizations of families of fuzzy implication functions are a necessary step to fully
understand the behaviour of the members of the family, their potential applicability and their …

In recent years, many works have appeared that propose order from basic fuzzy logic
connectives. However, all of them assume the connectives to possess some kind of …

The law of importation is an important property of fuzzy implication functions with interesting
applications in approximate reasoning and image processing. This property has been …

The invariance property with respect to powers of continuous t-norms is an additional
property of fuzzy implication functions which is particularly interesting in the area of …