Notes on the Exclusive Disjunction

Abstract

This short paper just contains some reflections on the symmetric difference operator translating into an algebraic framework the connective exclusive disjunction, the linguistic either/or. In particular, it tries to find an upper bound for the fuzzy operators generalizing the classical symmetric difference, that is, those to deal with imprecise statements. This search is made throughout the preservation of the inferential schemes of disjunctive syllogism in fuzzy logic. The paper tries to stress the inferential interest of the symmetric difference.