There is Enough Room for Zadeh´s Ideas, Besides Aristotle´s in a Boolean Frame

Even if there is enough room for Zadeh´s ideas, besides Aristotle´s in a Boolean frame, none algebra of conventional fuzzy approaches is Boolean. The goal of this paper is to show that a Boolean frame (defined by Boolean axioms and theorems) is equally adequate a place for realization of fuzzy theory (fuzzy sets, fuzzy logic, fuzzy relations etc.) as it is for realization of known classical two-valued theories (classical sets, classical logic, classical relations etc).