In this first chapter of Part I, we discuss families of fuzzy implications obtained from binary operations on the unit interval [0, 1], i.e., from basic fuzzy logic connectives, viz., t-norms, t-conorms and negations. After giving the necessary background on the above connectives, we investigate three main ways of generating fuzzy implications from these connectives. We also study the properties possessed by the families of fuzzy implications thus generated, present their characterizations and their representations, in the cases where available. © 2008 Springer-Verlag Berlin Heidelberg.