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

Abstract

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).