Fuzzy Logic as a geometry

Fuzzy logic is a generalization of classical logic. Since Boolean Algebras are the algebraic models of Classical Logic. So mathematical structures connected with Fuzzy Logic have to be generalizations of Boolean Algebras. The study of fuzzy logic can be considered in two different point of view in narrow and in broad sense. One of the most important fuzzy logics, in narrow sense is the many-valued Łukasiewicz logic. The spirit of this contribution is to present a surwey on the results obtained by the authors concerning the geometric nature of fuzzy logic in narrow sense. © 2013 IEEE