In the present paper we construct a new intuitionistic fuzzy implication, giving form to Goguen’s implication. Some of its basic properties are studied and illustrated with examples. Geometrical interpretations different forms implication given. Other discussed.

The aim of this paper is to develop the theory of Hom-coalgebras and related structures. After reviewing some key constructions and examples of quasi-deformations of Lie algebras involving twisted derivations and giving rise to the class of quasi-Lie algebras incorporating Hom-Lie algebras, we describe the notion and some properties of Homalgebras and provide examples. We introduce Hom-coalgebr...