(N′, T, N)-Implications

The use of fuzzy implications is widespread as easily found in the literature. The study of fuzzy implications attracts the attention of many authors probably because of their theoretical features and also the diversity of applications where they can be applied. In the present work we continue the study of a type of fuzzy implication, called (T, N)-implication, constructed by joining a fuzzy negation and a t-norm. However, we generalize those (T, N)-implications by presenting a new operator, named (N', T, N)-implication, which can be derived from two negations. We also study the properties of (N', T, N)-implications and compare the new results with the previous ones.