In this first chapter of Part I, we discuss families of fuzzy implications obtained from binary
operations on the unit interval [0, 1], ie, from basic fuzzy logic connectives, viz., t-norms, t …

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 …

Existing research suggests that the code clone (duplicated code) is one of the factors that
degrades the design and the structure of software and lowers the software quality such as …

Fuzzy implications are useful in a wide range of applications. For these practical purposes,
different classes of implications are used. Depending on the concrete application the …

This paper presents an analysis of interval-valued S-implications and interval-valued
automorphisms, showing a way to obtain an interval-valued S-implication from two S …

Fuzzy implications are a generalization of the classical two-valued implication to the multi-
valued setting. They play a very important role both in the theory and applications, as can be …

The law of importation, given by the equivalence (x Lambda y) rarr z equiv (xrarr (y rarr z)), is
a tautology in classical logic. In A-implications defined by Turksen et aL, the above …

A new class of fuzzy implications called the h-implications is introduced. They are
implications generated from an additive generator of a representable uninorm in a similar …

Yager's f-generated implication is one important class of fuzzy implication, which is based on
additive generators of continuous Archimedean t-norms. Considering the related interval …

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 …