In this paper we propose a family of fuzzy implication operators, which gen
eralises the Luckasiewicz's one, and to analyse the impacts of Smets and Ma
grez properties on these operators. The result of this approach will be a c
haracterisation of a proposed family of inclusion grade operators that sati
sfies the axioms of Divyendu and Dogherty. (C) 2000 Elsevier Science B.V. A
ll rights reserved.